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CHAPTER 3b review
Name:___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the problem. Round results to the nearest hundredth.
1) The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The
team's center is 6.5 feet tall. Find the center's z score. Is his score unusual?
2) A department store, on average, has daily sales of $29,131.76. The standard deviation of
sales is $1000. On Tuesday, the store sold $31065.24 worth of goods. Find Tuesday's z score.
Was Tuesday an unusually good day?
Determine which score corresponds to the higher relative position.
3) Which score has a better relative position, a score of 250.8 on a test for which x = 220 and s
1)
2)
3)
= 15, or a score of 90.4 on a test for which x = 80 and s = 4?
Find the percentile for the data point.
4) Data set: 10 10 35 20 10 25 40 45 55 15 10 40 30 5 40;
data point 40
Find the indicated percentile, decile, or quartile.
5) The test scores of 32 students are listed below. Find P60.
32
56
70
80
1
37
57
71
82
41
59
74
83
44
63
74
86
46
65
75
89
48
66
77
92
53
68
78
95
4)
5)
55
69
79
99
6) The test scores of 32 students are listed above. Find Q 1 .
6)
7) The test scores of 32 students are listed above. Find D4 .
7)
Find the mean, median, mode, midrange, standard deviation, variance and range for the given sample data.
8) The number of vehicles passing through a bank drive-up line during each 15-minute
8)
period was recorded. The results are shown below. Find the median number of vehicles
going through the line in a fifteen-minute period.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
mean = ______ median = _______ mode = _______ midrange = ______ std dev = _____
variance = ________
range = ________
Find the mean and standard deviation of the data summarized in the given frequency distribution.
9) The manager of a bank recorded the amount of time each customer spent waiting in line
during peak business hours one Monday. The frequency distribution below summarizes
the results. Find the mean and standard deviation. Round your answer to one decimal
place.
Waiting time Number of
(minutes) customer
0-3
9
4-7
16
8-11
15
12-15
8
16-19
0
20-23
2
2
9)