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Use the following to answer questions 1-3:
The points scored by a team in five basketball games are as follows:
118
124
72
84
112
1. The median for this data set is:
2. The mean for this data set is:
3. The mode of this data set is:
A) this data set does not have a unique mode
B) 112
C) 52
D) 72
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4. The value of the third quartile for a data set is 59. This means that:
A) 50% of the values in that data set are greater than 59.
B) 75% of the values in that data set are smaller than 59.
C) 75% of the values in that data set are greater than 59.
D) 25% of the values in that data set are smaller than 59.
Use the following to answer questions 5-9:
The work experiences (in years) of 14 employees of a company are
8
21
11
4
14
17
10
8
8
8
2
11
27
6
5. The approximate value of the 70th percentile for these data is:
6. The percentile rank for the employee with 17 years of experience is:
A) 62.96%
B) 85.71%
C) 68.00%
D) 78.57%
7. The third quartile for these data is:
8. The first quartile for these data is:
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9. The second quartile for these data is:
10. The mean age of all high school teachers in New York state is 47 years and the standard deviation is 5
years. According to Chebyshev's theorem, the percentage of teachers in New York who are 34.5 to
59.5 years old is at least:
A) 68.00
B) 84.00
C) 79.50
D) 86.00
11. The empirical rule is applicable to:
A) a bell-shaped distribution
B) a skewed distribution
C) a multimodal distribution
D) A and B only
E) A, B, and C
12. According to Chebyshev's theorem, the minimum percentage of values that fall within 1.5 standard
deviations of the mean is:
A) 55.56%
B) 57.06%
C) 53.56%
D) 52.56%
13. The percentiles divide a ranked data set into:
A) 10 equal parts
B) 100 equal parts
C) 2 equal parts
D) 4 equal parts
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Use the following to answer questions 14-18:
The following table gives the frequency distribution of prices for a sample of 30 college textbooks.
Price
20 to less than 30
30 to less than 40
40 to less than 50
50 to less than 60
60 to less than 70
f
4
7
13
3
3
14. The standard deviation of the textbook prices, rounded to two decimal places, is:
15. The mean price of these textbooks, rounded to two decimal places, is:
16. The value of
∑m
2
f is:
17. The variance of the textbook prices, rounded to two decimal places, is:
18. The value of
∑ mf
is:
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Use the following to answer questions 19-21:
The times (in minutes) taken by a sample of nine students to complete a statistics test are:
52 47
57
33
39
43
52
40
36
19. The standard deviation of these times, rounded to three decimal places, is:
20. The variance of these times, rounded to three decimal places, is:
21. The range of these times is:
Use the following to answer questions 22-24:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15
25
26
17
38
16
67
43
30
19
28
40
22. What is the value of the upper inner fence?
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20
36
31
23. Create a boxplot of the data. Describe the features of the distribution.
24. What is the value of the lower inner fence?
25. If a data set is right-skewed with one peak in the histogram, then which of the following is true?
A) the mode is greater than the median, which is greater than the mean
B) the mean is greater than the median, which is greater than the mode
C) the mean and median are equal, but the mode is different
D) the values of the mean, median, and mode are the same
26. The ages of all high school teachers in New York state have a bell-shaped distribution with a mean of
46 years and a standard deviation of 6 years. According to the empirical rule, the percentage of teachers
in this state who are 28 to 64 years old is approximately:
A) 99.4%
B) 97.9%
C) 99.7%
D) 98.3%
27. The value of the standard deviation of a data set is:
A) never positive
B) never zero
C) always positive
D) never negative
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Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
112
102
A
B
11
D
14
8
9
B
A
A
B
$11.26
$43.00
59,150
126.90
1,290
8.155
66.500
24
65
23.
24.
25.
26.
27.
-7
B
C
D
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