Basic Statistics for Business and Economics 6Th Canadian Edition By Linda – Test Bank
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Sample Test
Chapter 03
Describing Data: Numerical Measures
Multiple Choice Questions
1. i. A
value that is typical or representative of the data is referred to as a measure
of central tendency.
2. The
arithmetic mean is the sum of the observations divided by the total number of
observations
iii. The value of the observation in the center after they have
been arranged in numerical order is called the weighted mean
1. (i),
(ii), and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements but not (i).
5. (i),
(ii), and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-01 Introduction
Topic: 03-02 The Population Mean
Topic: 03-06 The Weighted Mean
Topic: 03-08 The Median
2. Using
the information gathered for real estate prices in Regina and surrounding areas
in the early 2000s, determine the mean of the selling prices at that time.
List prices, Regina and surrounding area
List Price
(x000)
Frequency
M f*M
M^2*f
50 to under
100
14
75 1050 78750
100 to under 150
23 125
2875 359375
150 to under 200
16 175
2800 490000
200 to under 250
18 225
4050 911250
250 to under 300
8
275 2200 605000
300 to under 350
5
325 1625 528125
350 to under 400
4
375 1500 562500
400 to under 450
2
425 850 361250
1. $188,330
2. $200,000
3. $125,000
4. $178,350
5. $195,600
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
3. Using
the information gathered for real estate prices in Regina and surrounding areas
in the early 2000’s, determine the median of the selling prices at that time.
List prices, Regina and surrounding area
List Price
(x000)
Frequency
M f*M
M^2*f
50 to under
100
14
75 1050 78750
100 to under 150
23 125
2875 359375
150 to under 200
16 175
2800 490000
200 to under 250
18 225
4050 911250
250 to under 300
8
275 2200 605000
300 to under 350
5
325 1625 528125
350 to under 400
4
375 1500 562500
400 to under 450
2
425 850 361250
1. $188,330
2. $200,000
3. $125,000
4. $175,000
5. $195,600
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard deviation
of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
4. Using
the information gathered for real estate prices in Regina and surrounding areas
in the early 2000s, determine the standard deviation of the selling prices at
that time.
List prices, Regina and surrounding area
List Price
(x000)
Frequency
M f*M
M^2*f
50 to under
100
14
75 1050 78750
100 to under 150
23 125
2875 359375
150 to under 200
16 175
2800 490000
200 to under 250
18 225
4050 911250
250 to under 300
8
275 2200 605000
300 to under 350
5
325 1625 528125
350 to under 400
4
375 1500 562500
400 to under 450
2
425 850 361250
1. $88,330
2. $20,000
3. $25,000
4. $78,350
5. $88,939
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
5. A
sample of light trucks using diesel fuel revealed the following distribution
based on fuel efficiency, i.e., litres per 100 km.
Litres/100km Number of Trucks
6 to under 9 2
9 to under 12 5
12 to under 15 10
15 to under 18 8
18 to under 21 3
21 to under 24 2
What is the arithmetic mean in litres per 100 km?
16.
16.9
17.
14.6
18.
17.0
19.
17.9
20.
Mean cannot be estimated.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
6. The
ages of newly hired, unskilled employees were grouped into the following
distribution:
Ages Number
18 to under 21 4
21 to under 24 8
24 to under 27 11
27 to under 30 20
30 to under 33 7
What is the median age?
28.
28.50
29.
28.08
30.
25.08
31.
27.14
32.
27.30
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
7. A
sample of the daily production of transceivers was organized into the following
distribution.
Daily Production
Frequencies
80 to under 90 5
90 to under
100 9
100 to under 110
20
110 to under 120
8
120 to under 130
6
130 to under 140
2
What is the mean daily production?
86.
86.4
87.
101.4
88.
111.4
89.
106.4
90.
20.0
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
8. The
net sales of a sample of small stamping plants were organized into the
following percent frequency distribution.
Net Sales (in
$millions) Percent
of Total
1 to under 4 13
4 to under 7 14
7 to under 10 40
10 to under 13 23
13 or more 10
What is the mean net sales (in $millions)?
7. $7.09
8. $10.09
9. $8.59
10.
$8.34
11.
Mean cannot be computed
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
9. A
stockbroker placed the following order for a customer:
-50 shares of Kaiser Aluminum preferred at $104 a share
-100 shares of GTE preferred at $25 1/4 a share
-20 shares of Boston Edison preferred at $9 1/8 a share
What is the weighted arithmetic mean price per share?
25.
$25.25
26.
$79.75
27.
$103.50
28.
$46.51
29.
Weighted mean cannot be computed for this data set.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-02 Identify and compute a weighted mean.
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-06 The Weighted Mean
Topic: 03-14 The Geometric Mean
10.
During the past six months, the purchasing agent bought:
Tons of Coal 1,200 3,000 500
Price per Ton $28.50 $87.25 $88.00
What is the weighted arithmetic mean price per ton?
87.
$87.25
88.
$72.33
89.
$68.47
90.
$89.18
91.
Weighted mean cannot be computed for this data set.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-06 The Weighted Mean
11.
A sample of single persons receiving social security payments
revealed these monthly benefits: $826, $699, $1,087, $880, $839 and $965. How
many observations are below the median?
12.
0
13.
1
14.
2
15.
3
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
12.
The number of work stoppages in a highly industrialized region
for selected months are: 6, 0, 10, 14, 8 and 0. What is the median number of
stoppages?
13.
0
14.
6
15.
7
16.
8
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
13.
The Federal Aviation Administration reported that passenger
revenues on international flights increased from $528 million in 1977 to $5,100
million in 2000. What is the geometric mean annual percent increase in
international passenger revenues?
14.
10.4
15.
27.9
16.
103.6
17.
9.96
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-14 The Geometric Mean
14.
The Investment Company Institute reported in its Mutual Fund
Fact Book that the number of mutual funds increased from 410 in 1990 to 857 in
2000. What is the geometric mean annual percent increase in the number of
funds?
15.
1.12
16.
7.65
17.
19.41
18.
48.66
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-14 The Geometric Mean
15.
Assume a student received the following grades for the semester:
History, B; Statistics, A; Spanish, C; and English, C. History and English are
5 credit hour courses, Statistics a 4 credit hour course and Spanish a 3 credit
hour course. If 4 grade points are assigned for an A, 3 for a B and 2 for a C,
what is the weighted mean for the semester grades?
16.
4.00
17.
1.96
18.
2.76
19.
3.01
20.
2.88
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-06 The Weighted Mean
16.
Production of passenger cars in Japan increased from 3.94
million in 1990 to 6.74 million in 2000. What is the geometric mean annual
percent increase?
17.
4.0
18.
1.9
19.
5.5
20.
16.6
21.
47.3
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-14 The Geometric Mean
17.
A sample of the paramedical fees charged by clinics revealed
these amounts: $55, $49, $50, $45, $52 and $55. What is the median charge?
18.
$47.50
19.
$51.00
20.
$52.00
21.
$55.00
22.
$48.00
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
18.
The lengths of time (in minutes) several underwriters took to
review applications for similar insurance coverage are: 50, 230, 52 and 57.
What is the median length of time required to review an application?
19.
54.5
20.
141.0
21.
97.25
22.
109.0
23.
$55.40
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
19.
The U.S. Department of Education reported that for the past six
years 23, 19, 15, 30, 27 and 25 women received doctorate degrees in computer
and information sciences. What is the mean arithmetic annual number of women
receiving this degree?
20.
15.1
21.
23.2
22.
37.9
23.
22.9
24.
$22.3
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
20.
A bottling company offers three kinds of delivery service –
instant, same day and within five days. The profit per delivery varies
according to the kind of delivery. The profit for an instant delivery is less
than the other kinds because the driver has to go directly to a grocery store
with a small load and return to the bottling plant. To find out what effect
each type of delivery has on the profit picture, the company has made the
following tabulation based on deliveries for the previous quarter.
Type of Delivery
Number of Deliveries During the Quarter
Profit per Delivery
Instant 100 $70
Same day
60 100
Within five days
40 160
What is the weighted mean profit per delivery?
1. $72
2. $100
3. $142
4. $97
5. $99
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-06 The Weighted Mean
21.
The U.S. Department of Education reported that for the past
seven years 4,033, 5,652, 6,407, 7,201, 8,719, 11,154, and 15,121 people
received bachelor’s degrees in computer and information sciences. What is the
arithmetic mean annual number receiving this degree?
22.
About 12,240
23.
About 8,327
24.
About 6,217
25.
About 15,962
26.
About 8,399
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
22.
Which measure of central tendency is found by arranging the data
from low to high, and selecting the middle value?
23.
Arithmetic mean
24.
Median
25.
Mode
26.
Geometric mean
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
23.
The number of students at a local university increased from
2,500 students 5000 students in 10 years. Based on a geometric mean, the
university grew at an average percentage rate of
24.
2,500 students per year
25.
1.071 students per year
26.
7.1 percent per year
27.
250 students per year
28.
Cannot be determined
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-14 The Geometric Mean
24.
A question in a market survey asks for a respondent’s favourite
car colour. Which measure of central tendency should be used to summarize this
question?
25.
Mode
26.
Median
27.
Mean
28.
Geometric mean
29.
Weighted mean
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-09 The Mode
25.
AAA Heating and Air Conditioning completed 30 jobs last month
with a mean revenue of $5,430 per job. The president wants to know the total
revenue for the month.
26.
Insufficient information to estimate.
27.
$5,430
28.
$54,330
29.
$162,900
30.
$169,200
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
Topic: 03-04 The Properties of the Arithmetic Mean
26.
Three persons earn $8 an hour, six earn $9 an hour, and one
earns $12 an hour. Find the weighted mean hourly wage.
27.
$8
28.
$9
29.
$12
30.
$6
31.
$10
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-02 Identify and compute a weighted mean.
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-06 The Weighted Mean
27.
Which one of the following is referred to as the population
mean?
28.
Statistic
29.
µ
30.
Sample
31.
å
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-02 The Population Mean
28.
If there are an odd number of observations in a set of ungrouped
data that have been arrayed from low to high or vice versa, where is the median
located?
29.
n
30.
n/2
31.
(n + 1)/2
32.
n + 1/2
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
29.
For which measure of central tendency will the sum of the
deviations of each value from that average always be zero?
30.
Mode
31.
Mean
32.
Median
33.
Geometric mean
34.
The sum of the deviations of each value from that average will
always be zero for all measures of central tendency.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-06 The Weighted Mean
Topic: 03-08 The Median
Topic: 03-09 The Mode
30.
Which measure of central tendency is used to determine the
average annual percent increase?
31.
Arithmetic mean
32.
Weighted mean
33.
Mode
34.
Geometric mean
35.
Median
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-14 The Geometric Mean
31.
Fifteen accounting majors had an average grade of 90 on a
finance exam. Seven marketing majors averaged 85, while ten finance majors
averaged 93 on the same exam. What is the weighted mean for the 32 students
taking the exam?
32.
89.84
33.
89.33
34.
89.48
35.
Impossible to determine without more information
36.
$89.88
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-06 The Weighted Mean
32.
On a survey questionnaire, students were asked to indicate their
class rank in college. If there were only four choices from which to choose,
which measure(s) of central tendency would be appropriate to use for the data
generated by that questionnaire item?
33.
Mean and median
34.
Mean and mode
35.
Mode and median
36.
Mode only
37.
Median only
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-08 The Median
Topic: 03-09 The Mode
33.
What is the median of 26, 30, 24, 32, 32, 31, 27 and 29?
34.
32
35.
29
36.
30
37.
29.5
38.
30.5
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
34.
The net incomes (in $millions) of a sample of steel fabricators
are: $86, $67, $86 and $85. What is the modal net income?
35.
$67
36.
$85
37.
$85.5
38.
$86
39.
$84
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-09 The Mode
35.
i. A parameter is a measurable characteristic of a sample.
36.
The weighted mean is the nth root of n observations.
iii. A statistic is a measurable characteristic of the
population.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and, (iii) are correct statements but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-02 The Population Mean
Topic: 03-03 The Sample Mean
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-06 The Weighted Mean
36.
Listed below is the average earnings ratio by sex for full-year,
full-time workers from 1999 to 2008. (Source: Adapted from Statistics
Canada-see Connect for data file.)
Year
Women
Men Earnings Ratio(%)
1999
$27000 $43000
62.6
2000 27500 44500 61.7
2001 27600 44400 62.1
2002 27900 44400 62.8
2003 27600 44800 62.9
2004 27900 44000 63.5
2005 28600 44700 64.0
2006 29000 44800 64.7.
2007 29900 45500 65.7
2008 30200 46900 64.5
What are the median earnings for women for the years 1999-2008?
1. $27,000
2. $27,600
3. $27,900
4. $28,320
5. $28,600
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
37.
Listed below is the average earnings ratio by sex for full-year,
full-time workers from 1999 to 2008. (Source: Adapted from Statistics
Canada-seeConnectfordatafile.)
Year
Women
Men Earnings Ratio(%)
1999
$27000
$43000 62.6
2000 27500 44500 61.7
2001 27600 44400 62.1
2002 27900 44400 62.8
2003 27600 44800 62.9
2004 27900 44000 63.5
2005 28600 44700 64.0
2006 29000 44800 64.7
2007 29900 45500 65.7
2008 30200 46900 64.5
What are the mean earnings for women for the years 1999-2008?
1. $27,000
2. $27,600
3. $27,900
4. $28,320
5. $28,600
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
38.
Listed below is the average earnings ratio by sex for full-year,
full-time workers from 1999 to 2008. (Source: Adapted from Statistics
Canada-seeConnectfordatafile.)
Year Women
Men Earnings Ratio(%)
1999
$27000
$43000 62.6
2000 27500 44500 61.7
2001 27600 44400 62.1
2002 27900 44400 62.8
2003 27600 44800 62.9
2004 27900 44000 63.5
2005 28600 44700 64.0
2006 29000 44800 64.7
2007 29900 45500 65.7
2008 30200 46900 64.5
What were the modal earnings for women for the years 1999-2008?
1. $27,000
2. $27,600
and $27,900
3. $28,320
4. $28,600
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-09 The Mode
39.
Listed below is the average earnings ratio by sex for full-year,
full-time workers from 1999 to 2008. (Source: Adapted from Statistics
Canada-seeConnectfordatafile.)
Year
Women
Men Earnings Ratio(%)
1999
$27000
$43000 62.6
2000 27500 44500 61.7
2001 27600 44400 62.1
2002 27900 44400 62.8
2003 27600 44800 62.9
2004 27900 44000 63.5
2005 28600 44700 64.0
2006 29000 44800 64.7
2007 29900 45500 65.7
2008 30200 46900 64.5
What were the median earnings for men for the years 1999-2008?
1. $43,000
2. $44,400
3. $44,500
4. $44,600
5. $44,700
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
40.
Listed below is the average earnings ratio by sex for full-year,
full-time workers from 1999 to 2008. (Source: Adapted from Statistics
Canada-seeConnectfordatafile.)
Year
Women
Men Earnings Ratio(%)
1999
$27000
$43000 62.6
2000 27500 44500 61.7
2001 27600 44400 62.1
2002 27900 44400 62.8
2003 27600 44800 62.9
2004 27900 44000 63.5
2005 28600 44700 64.0
2006 29000 44800 64.7
2007 29900 45500 65.7
2008 30200 46900 64.5
What were the mean earnings for men for the years 1999-2008?
1. $43,000
2. $44,400
3. $44,500
4. $44,600
5. $44,700
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
41.
Listed below is the average earnings ratio by sex for full-year,
full-time workers from 1999 to 2008. (Source: Adapted from Statistics
Canada-seeConnectfordatafile.)
Year
Women
Men Earnings Ratio(%)
1999
$27000
$43000 62.6
2000 27500 44500 61.7
2001 27600 44400 62.1
2002 27900 44400 62.8
2003 27600 44800 62.9
2004 27900 44000 63.5
2005 28600 44700 64.0
2006 29000 44800 64.7
2007 29900 45500 65.7
2008 30200 46900 64.5
What were the modal earnings for men for the years 1999-2008?
1. $43,000
2. $44,400
3. $44,500
4. $44,600
5. $44,700
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-09 The Mode
42.
i. For salaries of $102,000, $98,000, $25,000, $106,000 and
$101,000, the arithmetic mean would be an appropriate average.
43.
Extremely high or low scores affect the value of the median.
iii. Three persons earn $8 an hour, six earn $9 an hour, and one
earns $12 an hour. The weighted mean hourly wage is $10.
1. (i), (ii)
and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and, (iii) are correct statements but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-06 The Weighted Mean
Topic: 03-08 The Median
43.
i. For salaries of $102,000, $98,000, $35,000, $106,000 and
$101,000, the arithmetic mean would be an appropriate average.
44.
Extremely high or low scores do not affect the value of the
median.
iii. Three persons earn $8 an hour, six earn $9 an hour, and one
earns $12 an hour. The weighted mean hourly wage is $9.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and, (iii) are correct statements but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-06 The Weighted Mean
Topic: 03-08 The Median
44.
i. For salaries of $102,000, $98,000, $25,000, $106,000 and
$101,000, the median would be an appropriate average.
45.
There are always as many values above the mean as below it.
iii. Three persons earn $8 an hour, six earn $9 an hour, and one
earns $12 an hour. The weighted mean hourly wage is $9.
1. (i),
(ii) and (iii) are all correct statements.
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and, (iii) are correct statements but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-06 The Weighted Mean
Topic: 03-08 The Median
45.
Referring to the printout below, describe the shape of the
distribution of the corresponding histogram.
Class Grades
count 35
mean 71.8
minimum 14.3
maximum 99.2
range 84
coefficient of variation (CV) 30.67%
1st quartile 58.25
median
77.25
3rd quartile 89.91
interquartile range 31.67
mode 82.0
1. Positively
skewed
2. Negatively
skewed
3. Perfectly
symmetrical
4. Statistical
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
46.
i. If there is an even number of ungrouped values, then half of
the values will be less than the median.
47.
Extremely high or low scores affect the value of the median.
iii. There are always as many values above the mean as below it.
1. (i),
(ii) and (iii) are all correct statements.
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-08 The Median
47.
i. If there is an even number of ungrouped values, then half of
the values will be less than the median.
48.
Extremely high or low scores do not affect the value of the
median.
iii. There are always as many values above the mean as below it.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-08 The Median
48.
Sometimes, data has two values that have the highest and equal
frequencies. In this case, the distribution of the data can best be summarized
as
49.
symmetric
50.
bimodal (having two modes)
51.
positively skewed
52.
negatively skewed
53.
continuous
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-09 The Mode
Topic: 03-12 The Relative Positions of the Mean, Median, and
Mode
49.
Which measures of central tendency always have but one value for
a set of grouped or ungrouped data?
50.
Mode and median
51.
Mode and mean
52.
Mode and geometric mean
53.
Mean and median
54.
Mean, median and geometric mean
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-02 Identify and compute a weighted mean.
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-08 The Median
Topic: 03-14 The Geometric Mean
50.
Which measures of central tendency are not affected by extremely
low or extremely high values?
51.
Mean and median
52.
Mean and mode
53.
Mode and median
54.
Geometric mean and mean
55.
Mean only
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-08 The Median
Topic: 03-09 The Mode
Topic: 03-14 The Geometric Mean
51.
What must be the least scale of measurement for the median?
52.
Nominal
53.
Ordinal
54.
Interval
55.
Ratio
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-08 The Median
52.
What are half of the observations always greater than?
53.
Median
54.
Mode
55.
Mean
56.
Geometric mean
57.
Weighted mean
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-08 The Median
53.
If a frequency distribution has open-ended intervals at the
extremes, which measure of central tendency is the most difficult to estimate?
54.
Median
55.
Mode
56.
Mean
57.
Mean, Median and Mode
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
54.
In the calculation of the arithmetic mean for grouped data,
which value is used to represent all the values in a particular class?
55.
The upper limit of the class
56.
The lower limit of the class
57.
The frequency of the class
58.
The cumulative frequency preceding the class
59.
The midpoint of the class
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
55.
A disadvantage of using an arithmetic mean to summarize a set of
data is
56.
The arithmetic mean sometimes has two values.
57.
It can be used for interval and ratio data
58.
It is always different from the median.
59.
It can be biased by one or two extremely small or large values.
60.
It doesn’t always exist.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
56.
The mean, as a measure of central tendency, would be
inappropriate for which one of the following?
57.
Ages of adults at a senior citizen center
58.
Incomes of lawyers
59.
Number of pages in textbooks on statistics
60.
Marital status of college students at a particular university
61.
Number of family pets
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
57.
If a major sports star were to move into your neighbourhood,
what would you expect to happen to the neighbourhood’s “average” income?
58.
The mean income would increase significantly
59.
The median income would increase significantly
60.
The modal income would increase significantly
61.
The mean income would increase significantly, but the modal
income and median income would decrease
62.
The standard deviation of the neighbourhood’s income would get
smaller
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
58.
The mean, as a measure of central location would be
inappropriate for which one of the following?
59.
Ages of adults at a senior citizen center
60.
Incomes of lawyers
61.
Number of pages in textbooks on statistics
62.
Marital status of college students at a particular university
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
59.
A disadvantage of using an arithmetic mean to summarize a set of
data is
60.
It can be used for ratio data.
61.
It is always different from the median.
62.
It can be biased by one or two extremely small or large values.
63.
The arithmetic mean sometimes has two values.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
60.
What is a disadvantage of the range as a measure of dispersion?
61.
Based on only two observations
62.
Can be distorted by a large mean
63.
Not in the same units as the original data
64.
Has no disadvantage
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-17 Measures of Dispersion
Topic: 03-18 Range
61.
If a major sports star were to move into your neighbourhood,
what would you expect to happen to the neighbourhood’s “average” income?
62.
The mean income would decrease significantly
63.
The median income would increase significantly
64.
The modal income would increase significantly
65.
The mean income would increase significantly, but the median
income would stay almost the same as before
66.
The standard deviation of the neighbourhood’s income would get
smaller
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Learning Objective: 03-03 Compute and interpret the geometric
mean.
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-21 Variance and Standard Deviation
62.
The following printout is a summary of housing prices in
Edmonton:
Descriptive statistics
List Price
count 96
mean 447,403.14
sample
variance
20,560,909,990.86
sample standard deviation
143,390.76
minimum 269,900
maximum 1,100,000
range 830,100
1st quartile 357,250.00
median
402,400.00
3rd quartile 479,150.00
interquartile range
121,900.00
mode 399,900.00
What can we determine from this printout?
1. The
mean list price is less than both the median and modal prices
2. The
median list price is the most representative as it is larger than the modal
price and smaller than the mean price.
3. The
modal price is affected by a few houses that must be priced very high
4. More
than half of the houses are listed above $425,000.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
Topic: 03-08 The Median
Topic: 03-09 The Mode
63.
The following printout is a summary of number of bedrooms in
homes for sale in Regina:
Descriptive statistics
No of Bedrooms
Count 99
mean 3.73
sample
variance 1.12
sample standard deviation
1.06
minimum 0
maximum 7
range 7
skewness 0.04
kurtosis
2.11
coefficient of variation(CV) 28.38%
1st quartile 3.00
median
4.00
3rd quartile 4.00
interquartile range 1.00
mode 4.00
What can we determine from this printout?
1. The
mean number of bedrooms is less than both the median and modal number.
2. The
median number of bedrooms is the most representative as it is larger than the
modal number and smaller than the mean number of bedrooms.
3. The
modal number of bedrooms is affected by a few houses that must have a large
number of bedrooms.
4. 75%
of the houses have more than 3 bedrooms.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-01 Introduction
Topic: 03-03 The Sample Mean
Topic: 03-08 The Median
Topic: 03-09 The Mode
64.
i. The sum of the deviations from the mean for the set of
numbers 4, 9 and 5 will equal zero.
65.
If there is an even number of ungrouped values, the median is
found by arranging them from low to high and then determining the arithmetic
mean of the two middle values.
iii. For salaries of $102,000, $98,000, $35,000, $106,000 and
$101,000, the arithmetic mean would be an appropriate average.
1. (i),
(ii) and (iii) are all correct statements.
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and, (iii) are correct statements but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-03 The Sample Mean
Topic: 03-04 The Properties of the Arithmetic Mean
Topic: 03-08 The Median
65.
i. In a negatively skewed distribution, the mean is always
greater than the median.
66.
In a negatively skewed distribution, the median occurs at the
peak of the curve.
iii. In a positively skewed distribution, the mode is greater
than the median.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
66.
i. In a positively skewed distribution, the mean is always
greater than the median.
67.
In a negatively skewed distribution, the median occurs at the
peak of the curve.
iii. In a negatively skewed distribution, the mode is greater
than the median.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
67.
i. The mode is the value of the observation that appears most
frequently.
68.
A distribution that has the same shape on either side of the
center is said to be symmetrical.
iii. Negatively skewed indicates that a distribution is not
symmetrical. The long tail is to the left or in the negative direction.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and, (iii) are correct statements but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
68.
i. In a positively skewed distribution, the mean is always
greater than the median.
69.
In a negatively skewed distribution, the mode occurs at the peak
of the curve.
iii. In a negatively skewed distribution, the mode is greater
than the median.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
69.
What is the relationship among the mean, median and mode in a
symmetric distribution?
70.
All values are equal
71.
Mean is always the smallest value
72.
Mean is always the largest value
73.
Mode is the largest value
74.
Median is always the largest value
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-12 The Relative Positions of the Mean, Median, and
Mode
70.
Rank the measures of dispersion in terms of their relative
computational difficulty from least to most difficulty.
71.
Mode, median, mean
72.
Range, mean deviation, variance
73.
Variance, mean deviation, range
74.
There is no difference
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-17 Measures of Dispersion
Topic: 03-18 Range
Topic: 03-19 Mean Deviation
Topic: 03-21 Variance and Standard Deviation
71.
The ages of a sample of telephones used in a small town hotel
were organized into the following table:
Ages (in
years) Number
2 to under 5 2
5 to under 8 5
8 to under 11 10
11 to under 14 4
14 to under 17 2
What is the sample variance?
10.
About 10.2
11.
About 6.1
12.
About 14.0
13.
About 3.2
14.
About 5.0
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-44 Standard Deviation of Grouped Data
72.
A purchasing agent for a trucking company is shopping for
replacement tires for their trucks from two suppliers. The suppliers’ prices
are the same. However, Supplier A’s tires have an average life of 100,000 km
with a standard deviation of 10,000 km. Supplier B’s tires have an average life
of 100,000 km with a standard deviation of 2,000 km. Which of the following
statements is true?
73.
The two distributions of tire life are the same
74.
On average, Supplier A’s tires have a longer life then Supplier
B’s tires
75.
The life of Supplier B’s tire is more predictable than the life
of Supplier A’s tires
76.
The dispersion of Supplier A’s tire life is less than the
dispersion of Supplier B’s tire life
77.
The life of Supplier A’s tire is more predictable than the life
of Supplier B’s tires
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-28 Interpretation and Uses of the Standard Deviation
73.
The sum of the differences between sample observations and the
sample mean is
74.
Zero
75.
The mean deviation
76.
The range
77.
The standard deviation
78.
The mean
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-04 The Properties of the Arithmetic Mean
74.
Which of the following measures of dispersion are based on
deviations from the mean?
75.
Variance
76.
Standard deviation
77.
Mean deviation
78.
Mean deviation, standard deviation, and variance
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Learning Objective: 03-07 Identify and compute measures of
position.
Topic: 03-17 Measures of Dispersion
Topic: 03-19 Mean Deviation
Topic: 03-21 Variance and Standard Deviation
75.
What is the relationship between the variance and the standard
deviation?
76.
Variance is the square root of the standard deviation
77.
Variance is the square of the standard deviation
78.
Variance is twice the standard deviation
79.
No constant relationship between the variance and the standard
deviation
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-17 Measures of Dispersion
Topic: 03-21 Variance and Standard Deviation
76.
What is the range for this sample of March electric bills
amounts for all-electric homes of similar sizes (to the nearest dollar): $212,
$191, $176, $129, $106, $92, $108, $109, $103, $121, $175 and $194.
77.
$100
78.
$130
79.
$120
80.
$112
81.
$115
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-18 Range
77.
A survey of passengers on domestic flights revealed these
distances:
Kilometres Flown Number of
Passengers
100 to under 500
16
500 to under 900
41
900 to under 1300 81
1300 to under 1700 11
1700 to under 2100 9
2100 to under 2500 6
What is the range (in kms)?
1. 2499
2. 1100
3. 2400
4. 1999
5. 2500
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-18 Range
78.
Which measure of dispersion disregards the algebraic signs (plus
and minus) of each difference between X and the mean?
79.
Standard deviation
80.
Mean deviation
81.
Arithmetic mean
82.
Variance
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-17 Measures of Dispersion
Topic: 03-19 Mean Deviation
79.
A population consists of all the weights of all defensive
tackles on Sociable University’s football team. They are: Johnson, 204 pounds;
Patrick, 215 pounds; Junior, 207 pounds; Kendron, 212 pounds; Nicko, 214
pounds; and Cochran, 208 pounds. What is the population standard deviation (in
pounds)?
80.
About 4
81.
About 16
82.
About 100
83.
About 40
84.
Zero
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean deviation;
variance and standard deviation.
Topic: 03-23 Population Standard Deviation
80.
The weights (in grams) of the contents of several small bottles
are 4, 2, 5, 4, 5, 2 and 6. What is the sample variance?
81.
6.92
82.
4.80
83.
1.96
84.
2.33
85.
Zero
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-25 Sample Variance
81.
Each person who applies for an assembly job at Robert’s
Electronics is given a mechanical aptitude test. One part of the test involves
assembling a plug-in unit based on numbered instructions. A sample of the
length of time it took 42 persons to assemble the unit was organized into the
following frequency distribution.
Length of Time (in minutes) Number
1 to under 4 4
4 to under 7 8
7 to under 10 14
10 to under 13 9
13 to under 16 5
16 to under 19 2
What is the standard deviation (in minutes)?
3. 3.89
4. 6.01
5. 8.78
6. 17.00
7. Zero
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
82.
The following are the weekly amounts of welfare payments made by
the federal government to a sample of six families: $139, $136, $130, $136,
$147 and $136. What is the range?
83.
$0
84.
$14
85.
$52
86.
$17
87.
$147
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-18 Range
83.
Measures of dispersion calculated from grouped data are
84.
Estimates
85.
Biased
86.
Means
87.
Skewed
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-17 Measures of Dispersion
84.
The closing prices of a common stock have been 61.5, 62, 61.25,
60.875 and 61.5 for the past week. What is the range?
85.
$1.250
86.
$1.750
87.
$1.125
88.
$1.875
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-18 Range
85.
Ten experts rated a newly developed chocolate chip cookie on a
scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32, 36, 38 and
40. What is the mean deviation?
86.
8.00
87.
4.12
88.
12.67
89.
0.75
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-19 Mean Deviation
86.
The weights (in kilograms) of a group of crates being shipped to
Panama are 95, 103, 110, 104, 105, 112 and 92. What is the mean deviation?
87.
5.43 kg
88.
6.25 kg
89.
0.53 kg
90.
52.50 kg
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-19 Mean Deviation
87.
The ages of all the patients in the isolation ward of the
hospital are 38, 26, 13, 41 and 22. What is the population variance?
88.
106.8
89.
91.4
90.
240.3
91.
42.4
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-18 Range
88.
A sample of the daily number of passengers per bus riding the
Bee Line commuter route yielded the following information:
Number of
Passengers
Frequency
0 to under 5 4
5 to under 10 9
10 to under 15 5
15 to under 20 10
20 to under 25 2
What is the standard deviation?
6. About
6.06
7. About
20.0
8. About
12.9
9. About
2.3
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
89.
i. The standard deviation is the positive square root of the
variance.
90.
For a symmetrical distribution, the variance is equal to the
standard deviation.
iii. If the standard deviation of the ages of a female group of
employees is six years and the standard deviation of the ages of a male group
in the same plant is ten years, it indicates that there is more spread in the
ages of the female employees.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-21 Variance and Standard Deviation
Topic: 03-28 Interpretation and Uses of the Standard Deviation
90.
i. If a frequency distribution is open-ended, the variance
cannot be determined.
91.
The range cannot be computed for data grouped in a frequency
distribution having an open end.
iii. The standard deviation is the positive square root of the
variance
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements, but not (i).
5. (i),
(ii) and (iii) are all false statements
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Learning Objective: 03-09 Compute the mean; median and standard
deviation of grouped data.
Topic: 03-18 Range
Topic: 03-41 The Mean, Median, and Standard Deviation of Grouped
Data
91.
What disadvantage(s) are there of the mean deviation?
92.
Based on only two observations
93.
Based on deviations from the mean
94.
Uses absolute values, which are difficult to manipulate
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-04 Compute and interpret the range; mean
deviation; variance and standard deviation.
Topic: 03-19 Mean Deviation
92.
A sample of the monthly amounts spent for food by families of
four receiving food stamps approximates a symmetrical distribution. The sample
mean is $150 and the standard deviation is $20. Using the Empirical Rule, about
95 percent of the monthly food expenditures are between what two amounts?
93.
$100 and $200
94.
$85 and $105
95.
$205 and $220
96.
$110 and $190
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
93.
A sample of assistant professors on the business faculty at the largest
college in Ontario revealed the mean annual income to be $62,000 with a
standard deviation of $3,000. Using the Empirical Rule, what proportion of
faculty earn more than $56,000 but less than $68,000?
94.
At least 50%
95.
Approximately 68%
96.
At least 75%
97.
Approximately 95%
98.
Almost all
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
94.
Samples of the wires coming off the production line were tested
for tensile strength. The statistical results (in PSI) were:
Arithmetic mean
500
Median 500
Mode 500 Standard
deviation 40
Mean
deviation
32 Quartile
deviation 25
Range 240 Number in
sample 100
According to the Empirical Rule, the middle 95 percent of the
wires tested between approximately what two values?
1. 450
and 550
2. 460
and 540
3. 420
and 580
4. 380
and 620
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
95.
The distribution of a sample of the outside diameters of PVC gas
pipes approximates a symmetrical, bell-shaped distribution. The arithmetic mean
is 14.0 cm, and the standard deviation is 0.1 cm. About 68 percent of the
outside diameters lie between what two amounts?
96.
13.5 and 14.5 cm
97.
13.0 and 15.0 cm
98.
13.9 and 14.1 cm
99.
13.8 and 14.2 cm
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
96.
Below is a summary of the size of homes for sale in Regina in
2005.
The Empirical Rule would suggest that the middle 68% of the home
sizes are between what two approximate values?
Size (sq ft)
count 99
mean 1,713.38
sample
variance 674,283.32
sample standard deviation
821.15
minimum 0
maximum 4737
range 4737
1. 1,000
to 2,000 sq. ft.
2. 892
to 2,534 sq ft.
3. 71 to
3,355 sq ft.
4. 0 to
4,176 sq ft.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
97.
Below is a summary of the size of homes for sale in Regina in
2005.
The Empirical Rule would suggest that the middle 95% of the home
sizes are between what two approximate values?
Size (sq ft)
count 99
mean 1,713.38
sample variance
674,283.32
sample standard deviation
821.15
minimum 0
maximum 4737
range 4737
1. 1,000
to 2,000 sq. ft.
2. 892
to 2,534 sq ft.
3. 71 to
3,355 sq ft.
4. 0 to
4,176 sq ft.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
98.
The Empirical Rule states that:
(i) about 68% of the observation will lie within one standard
deviation of the mean.
1. about
95% of the observations will lie within two standard deviations of the mean.
iii. and virtually all (99.7%) will lie within three standard
deviations of the mean.
1. (i),
(ii) and (iii) are all correct statements.
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements, but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-30 The Empirical Rule
99.
Chebyshev’s theorem states that:
1. About
68% of the observation will lie within one standard deviation of the mean.
2. About
95% of the observations will lie within two standard deviations of the mean.
iii. Virtually all (99.7%) will lie within three standard
deviations of the mean.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements, but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-05 Explain and apply Chebyshev’s theorem
and the Empirical Rule.
Topic: 03-29 Chebyshev’s Theorem
100.
i. An outlier is a value in a data set that is inconsistent with
the rest of the data.
101.
The interquartile range is the difference between the values of
the first and third quartile, indicating the range of the middle fifty percent
of the observations.
iii. A percentile divides a distribution into one hundred equal
parts.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-07 Identify and compute measures of
position.
Topic: 03-36 Measures of position
Topic: 03-37 Quartiles, Deciles, and Percentiles
101.
i. An outlier is a value in a data set that is inconsistent with
the rest of the data.
102.
The interquartile range is the difference between the values of
the first and third quartile, indicating the range of the middle fifty percent
of the observations.
iii. A student scored in the 85 percentile on a standardized
test. This means that the student scored lower than 85% of the rest of the
students taking the test.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-07 Identify and compute measures of
position.
Topic: 03-36 Measures of position
Topic: 03-37 Quartiles, Deciles, and Percentiles
102.
i. A percentile divides a distribution into one hundred equal
parts.
103.
A student scored in the 85 percentile on a standardized test.
This means that the student scored lower than 85% of the rest of the students
taking the test.
iii. The interquartile range is the difference between the
values of the first and third quartile, indicating the range of the middle
fifty percent of the observations.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (i)
is a correct statement, but not (ii) or (iii).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-07 Identify and compute measures of
position.
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-36 Measures of position
Topic: 03-37 Quartiles, Deciles, and Percentiles
Topic: 03-39 Box Plots
103.
i. A percentile divides a distribution into one hundred equal
parts.
104.
A student scored in the 85 percentile on a standardized test.
This means that the student scored higher than 85% of the rest of the students
taking the test.
iii. The interquartile range is the difference between the
values of the first and third quartile, indicating the range of the middle
fifty percent of the observations.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements, but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-07 Identify and compute measures of
position.
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-36 Measures of position
Topic: 03-37 Quartiles, Deciles, and Percentiles
Topic: 03-39 Box Plots
104.
What do the quartile deviation and the interquartile range
describe?
105.
Lower 50% of the observations
106.
Middle 50% of the observations
107.
Upper 50% of the observations
108.
Lower 25% and the upper 25% of the observations
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-39 Box Plots
105.
i. An outlier is a data point that always occurs in the first
quartile.
106.
A student scored in the 85 percentile on a standardized test.
This means that the student scored higher than 85% of the rest of the students
taking the test.
iii. The interquartile range is the difference between the
values of the first and third quartile, indicating the range of the middle
fifty percent of the observations.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements, but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-07 Identify and compute measures of
position.
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-36 Measures of position
Topic: 03-37 Quartiles, Deciles, and Percentiles
Topic: 03-39 Box Plots
106.
i. The interquartile range is the average of the values of the
first and third quartile.
107.
An outlier is a data point that always occurs in the first
quartile.
iii. A student scored in the 85 percentile on a standardized test.
This means that the student scored lower than 85% of the rest of the students
taking the test.
1. (i),
(ii) and (iii) are all correct statements
2. (i)
and, (ii) are correct statements but not (iii).
3. (i)
and, (iii) are correct statements but not (ii).
4. (ii)
and (iii) are correct statements, but not (i).
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-07 Identify and compute measures of
position.
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-37 Quartiles, Deciles, and Percentiles
Topic: 03-39 Box Plots
107.
A box plot shows
108.
The mean and variance
109.
The relative symmetry of a distribution for a set of data
110.
The percentiles of a distribution
111.
The deciles of a distribution
112.
The location of the mean of a distribution
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-39 Box Plots
108.
What statistics are needed to draw a box plot?
109.
Minimum, maximum, median, first and third quartiles
110.
Median, mean and standard deviation
111.
A mean and dispersion
112.
A mean and a standard deviation
113.
Q1, Q2 and Q3
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-08 Construct and analyze a box plot.
Topic: 03-39 Box Plots
109.
The coefficient of variation for a set of annual incomes is 18%;
the coefficient of variation for the length of service with the company is 29%.
What does this indicate?
110.
More dispersion in the distribution of the incomes compared with
the dispersion of their length of service
111.
More dispersion in the lengths of service compared with incomes
112.
Dispersion in the two distributions (income and service) cannot
be compared using percents
113.
Dispersions are equal
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
110.
Mr. and Mrs. Jones live in a neighbourhood where the mean family
income is $45,000 with a standard deviation of $9,000. Mr. and Mrs. Smith live
in a neighbourhood where the mean is $100,000 and the standard deviation is
$30,000. What are the relative dispersions of the family incomes in the two
neighbourhoods?
111.
Jones 40%, Smith 20%
112.
Jones 20%, Smith 30%
113.
Jones 30%, Smith 20%
114.
Jones 50%, Smith 33%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
111.
A large oil company is studying the number of gallons of
gasoline purchased per customer at self-service pumps. The mean number of
litres is 10.0 with a standard deviation of 3.0 litres. The median is 10.75
litres. What is the Pearson’s coefficient of skewness?
112.
– 1.00
113.
– 0.75
114.
+ 0.75
115.
+ 1.00
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
112.
What is the value of the Pearson coefficient of skewness for a
distribution with a mean of 17, median of 12 and standard deviation of 6?
113.
+ 2.5
114.
– 2.5
115.
+ 0.83
116.
– 0.83
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
113.
A study of business faculty in Ontario revealed that the
arithmetic mean annual salary is $62,000 and a standard deviation of $3,000.
The study also showed that the faculty had been employed an average (arithmetic
mean) of 15 years with a standard deviation of 4 years. How does the relative
dispersion in the distribution of salaries compare with that of the lengths of
service?
114.
Salaries about 100%, service about 50%
115.
Salaries about 5%, service about 27%
116.
Salaries about 42%, service about 81%
117.
Salaries about 2%, service about 6%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
114.
The printout below is a summary of the average annual earnings
of male full time workers in Canada from 1999-2008. Determine the coefficient
of variation.
Men
count 10
mean 44,700.00
sample
variance
1,011,111.11
sample standard deviation 1,005.54
minimum 43000
maximum 46900
range 3900
population variance 910,000.00
population standard
deviation
953.94
1. 1.0%
2. 2.2%
3. 3%
4. 15%
5. 25%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
115.
The printout below is a summary of the average annual earnings
of male full time workers in Canada from 1999-2008. Determine the coefficient
of variation.
Women’s Earnings 1999-2008
count 10
mean 28,320.00
sample
variance
1,152,888.89
sample standard deviation
1,073.73
minimum 27000
maximum 30200
range 3200
1. 1.0%
2. 2.5%
3. 3%
4. 3.8%
5. 4.25%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
116.
The coefficient of variation generally lies between what two
values?
117.
– 1 and + 1
118.
– 3 and + 3
119.
0% and 100%
120.
Unlimited values
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
117.
A research analyst wants to compare the dispersion in the
price-earnings ratios for a group of common stock with their return on
investment. For the price-earnings ratios, the mean is 10.9 and the standard
deviation is 1.8. The mean return on investment is 25 percent and the standard
deviation 5.2 percent. What is the relative dispersion for the price-earnings
ratios and return on investment?
118.
Ratios = 32.0 percent, investment = 19.0 percent
119.
Ratios = 16.5 percent, investment = 20.8 percent
120.
Ratios = 132.0 percent, investment = 190.0 percent
121.
Ratios = 50.0 percent, investment = 10.0 percent
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
118.
A study of the scores on an in-plant course in management
principles and the years of service of the employees enrolled in the course
resulted in these statistics:
1. Mean
test score was 200 with a standard deviation of 40
2. Mean
number of years of service was 20 years with a standard deviation of 2 years.
In comparing the relative dispersion of the two distributions,
what are the coefficients of variation?
1. Test
50%, service 60%
2. Test
100%, service 400%
3. Test
20%, service 10%
4. Test
35%, service 45%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
119.
A large group of inductees was given a mechanical aptitude and a
finger dexterity test. The arithmetic mean score on the mechanical aptitude
test was 200, with a standard deviation of 10. The mean and standard deviation
for the finger dexterity test were 30 and 6 respectively. What is the relative
dispersion in the two groups?
120.
Mechanical 5 percent, finger 20 percent
121.
Mechanical 20 percent, finger 10 percent
122.
Mechanical 500 percent, finger 200 percent
123.
Mechanical 50 percent, finger 200 percent
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
120.
A study of business faculty in Ontario revealed that the
arithmetic mean annual salary is $72,000 and a standard deviation of $3,000.
The study also showed that the faculty had been employed an average (arithmetic
mean) of 15 years with a standard deviation of 4 years. How does the relative
dispersion in the distribution of salaries compare with that of the lengths of
service?
121.
Salaries about 100%, service about 50%
122.
Salaries about 4%, service about 27%
123.
Salaries about 42%, service about 81%
124.
Salaries about 2%, service about 6%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-32 Relative Dispersion
121.
In order to predict life expectancy, a data sample is received
from a local funeral parlour. The sample includes the ages (in years) of each
of the customers received over the past few weeks. The following is the Excel
summary statistics:
Mean 64.9
Standard
Error 1.67
Median
69.1
Mode 73.7
Standard Deviation 10.6
Sample Variance
111.8
Kurtosis
-0.2
Skewness -1.0
Range 37.3
Minimum 39.5
Maximum 76.8
Sum 2595.9
Count 40
Largest(2) 76.1
Smallest(2) 44.9
What is the size of the sample?
1. 40
2. 46
3. 44.9
4. 2595.9
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-11 An Excel Example
122.
In order to predict life expectancy, a data sample is received
from a local funeral parlour. The sample includes the ages (in years) of each
of the customers received over the past few weeks. The following is the Excel
summary statistics:
Mean 64.9
Standard
Error 1.67
Median
69.1
Mode 73.7
Standard Deviation 10.6
Sample Variance
111.8
Kurtosis
-0.2
Skewness -1.0
Range 37.3
Minimum 39.5
Maximum 76.8
Sum 2595.9
Count 40
Largest(2) 76.1
Smallest(2) 44.9
Determine the age of the youngest person who died in this
sample.
76.
76.1
77.
39.5
78.
44.9
79.
76.8
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-11 An Excel Example
123.
In order to predict life expectancy, a data sample is received
from a local funeral parlour. The sample includes the ages (in years) of each
of the customers received over the past few weeks. The following is the Excel
summary statistics:
Mean 64.9
Standard
Error 1.67
Median
69.1
Mode 73.7
Standard Deviation 10.6
Sample Variance
111.8
Kurtosis
-0.2
Skewness -1.0
Range 37.3
Minimum 39.5
Maximum 76.8
Sum 2595.9
Count 40
Largest(2) 76.1
Smallest(2) 44.9
Determine the age of the oldest person who died in this sample.
37.
37.3
38.
39.5
39.
44.9
40.
76.8
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-11 An Excel Example
124.
In order to predict life expectancy, a data sample is received
from a local funeral parlour. The sample includes the ages (in years) of each of
the customers received over the past few weeks. The following is the Excel
summary statistics:
Mean 64.9
Standard
Error 1.67
Median
69.1
Mode 73.7
Standard Deviation 10.6
Sample Variance
111.8
Kurtosis
-0.2
Skewness -1.0
Range 37.3
Minimum 39.5
Maximum 76.8
Sum 2595.9
Count 40
Largest(2) 76.1
Smallest(2) 44.9
Describe the shape of the age of death distribution.
1. Slight
positive skewness
2. Slight
negative skewness
3. Perfectly
symmetrical
4. You
cannot determine this from the data given
5. Strong
negative skewness
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 03-06 Compute and interpret the coefficient
of skewness and the coefficient of variation.
Topic: 03-34 Skewness
125.
In order to predict life expectancy, a data sample is received
from a local funeral parlour. The sample includes the ages (in years) of each
of the customers received over the past few weeks. The following is the Excel
summary statistics:
Mean 64.9
Standard
Error 1.67
Median
69.1
Mode 73.7
Standard Deviation 10.6
Sample Variance
111.8
Kurtosis
-0.2
Skewness -1.0
Range 37.3
Minimum 39.5
Maximum 76.8
Sum 2595.9
Count 40
Largest(2) 76.1
Smallest(2) 44.9
Describe the shape of the age of death distribution.
(i) Since the mode is the largest of the 3 measures of central
tendency, more people died at this older age than any earlier age
(ii) Since the mean age of death is the lowest of the three
measures of central tendency, there must have been one or more person who died
at a significantly younger age than the mode
(iii) Since the mode is the largest of the 3 measures of central
tendency, everyone died at this age
1. (i)
and (ii) are correct statements, but (iii) is false.
2. (ii)
and (iii) are correct statements, but (i) is false.
3. (i),
(ii) and (iii) are all correct statements.
4. (i)
and (iii) are correct statements, but (ii) is false.
5. (i),
(ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 03-01 Compute and interpret the mean; the
median and the mode.
Topic: 03-12 The Relative Positions of the Mean, Median, and
Mode
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