Chapter 2 Test - Modeling Distributions of Quantitative Data

Many professional schools require applicants to take a standardized test. Suppose that 1000 students take such a test. Several weeks after the test, Pete recieves his score report: he got a 63, which placed him at the 73rd percentile. This means that

• Pete's score was below the median.
• Pete did worse than about 63% of the test takers.
• Pete did worse than about 73% of the test takers.
• Pete did better than about 73% of the test takers.

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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.HSS.ID.A.4

The 75th percentile is also know as the

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

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CCSS.6.SP.B.5C

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

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CCSS.6.SP.B.5C

Here are the weights (in pounds) of 10 puppies: 4 4 5 7 8 8 8 10 12 13 What is the percentile of a 5 pound puppy?

• 38th percentile

• 20th percentile

• 70th percentile

• 30th percentile

Adam's Z-score on a test is +2.50. What does this mean?

• Adam's score has a 2.5% chance of being better than any other randomly selected score.

• Adam's test score was better than 25% of his peers.

• He scored 2.5 standard deviations above the average.

• He did terrible.

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.

What is the Z-score for Tina if she got a 31 on the ACT, the mean was 23 and the SD was 4?

• +0.20

• +2.00

• -2.00

• -0.20

Kellogg's cereal has an average of 7.6 g of sugar with an SD of 4.5g.

What is the Z-score of Frosted Flakes if it has 11g sugar?

• +0.76

• -0.74

• +0.68

• +0.28

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CCSS.HSS.ID.A.4

The cumulative relative frequency graph at right shows the distribution of lengths (in centimeters) of fingerlings at a fish hatchery. The median for this distribution is approximately:

• 6 centimeters

• 6.5 centimeters

• 7 centimeters

• 1.2 centimeters