AP Stats 2.1 Practice

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

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CCSS.HSS.ID.A.4

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

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CCSS.HSS.ID.A.4

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

• 82
• 88
• 100
• 118

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CCSS.HSA.REI.B.3

CCSS.HSS.ID.A.4

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

• True

• False

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CCSS.HSS.ID.A.4

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

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CCSS.7.EE.B.3

The 75th percentile is also know as the

• median
• third quartile
• 1st quartile`
• interquartile range

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

What is the percentile rank of 74 in the following group of 15 data values? 35, 65, 68, 100, 23, 69, 74, 70, 61, 90, 85, 55, 30, 65, 80

• 73rd

• 90th

• 75th

• 27th

Joanne's score on a test gives her a Z-score is -1.50. What does this mean?

• Joanne didn't take the test yet.

• Joanne's test score is 1.50 standard deviations below the average test score.

• Joanne did better than 1.50 times her peers.

• Joanne's test score, on average, was 1.5 points lower than the other test scores.

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CCSS.HSS.ID.A.4

More practice: At a recent invitational, Emmett threw the shotput 43.5 feet with an invite mean of 41 and a SD of 3.

Reese ran the 800 in 2 minutes, 1 second with the mean being 2 minutes 46 seconds and SD of 15 seconds.

What were their Z-scores and who performed better?

• Emmett's Z-score was +0.83, Reese's was -3.00. Emmett did better because his Z-score is higher.

• Emmett's Z-score was +0.83, Reese's was -3.00 but Reese did better because in track, lower times are better to have

• Not enough information

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4