Math Exam Worksheet With Answer Key - Math 103/gracey Page 17
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22Solve the problem. Round results to the nearest hundredth.
40) Scores on a test have a mean of 75 and a standard deviation of 9. Michelle has a score of 84.
40)
Convert Michelle's score to a z-score.
A) -9
B) -1
C) 9
D) 1
41) A department store, on average, has daily sales of $28,993.06. The standard deviation of sales is $
41)
1000. On Tuesday, the store sold $34,199.86 worth of goods. Find Tuesday's z score. Was Tuesday
an unusually good day?
A) 5.52, yes
B) 5.21, yes
C) 5.47, no
D) 4.17, no
Find the number of standard deviations from the mean. Round your answer to two decimal places.
42) The test scores on the Chapter 7 mathematics test have a mean of 66 and a standard deviation of
42)
13. Andrea scored 89 on the test. How many standard deviations from the mean is that?
A) 1.77 standard deviations above the mean
B) 1.77 standard deviations below the mean
C) 0.60 standard deviations below the mean
D) 0.60 standard deviations above the mean
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z - score is less than - 2.00 or greater than 2.00. Round the z - score to the nearest
tenth if necessary.
43) A body temperature of 96.5° F given that human body temperatures have a mean of 98.20° F and
43)
a standard deviation of 0.62°.
A) -2.8; unusual
B) -1.7; not usual
C) -2.8; not unusual
D) 2.8; unusual
Determine which score corresponds to the higher relative position.
44) Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score
44)
of 688 on a test with a mean of 493 and a standard deviation of 150?
A) Both scores have the same relative position.
B) A score of 688
C) A score of 92
Find the percentile for the data value.
45) Data set: 53 45 39 69 66 72 44;
45)
data value: 53
A) 20
B) 50
C) 43
D) 57
Find the indicated measure.
46) Use the given sample data to find Q 3 .
46)
49 52 52 52 74 67 55 55
A) 6.0
B) 67.0
C) 61.0
D) 55.0
17
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