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[AP Statistics] 2.2a - Density Curves and Normal Distributions

Last updated 8 months ago

23 questions

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Question 1

1.

Predict what the density curve for scores on the Iowa Test of Basic Skills, a standardized test with scores from 1-12, looks like.

Question 2

2.

Predict what the density curve for the distribution of household income in the United States looks like

Question 3

3.

Predict what the density curve for female age at time of death is.

Question 4

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Question 5

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Question 6

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Question 7

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Question 8

8.

In baseball, a player’s batting average is the proportion of times the player gets a hit out of his total number of times at bat. The distribution of batting averages in a recent season for Major League Baseball players with at least 100 plate appearances can be modeled by a Normal distribution with mean μ=0.261 and standard deviation σ=0.034

Use the empirical rule to answer the following questions.

68% of MLB players had a batting average between what two values?

Question 9

9.

99.7% of MLB players had a batting average between what two values?

Question 10

10.

About what percent of Major League Baseball players with 100 plate appearances had batting averages of 0.363 or higher?

Question 11

11.

A player with a batting average of 0.227 is at about what percentile in this distribution? Justify your answer.

The questions that follow are from the textbook (Section 2-2). I'll mostly post odd questions so you can find the answers in the back of the book.

Question 12

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Question 13

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Question 14

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Question 15

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Question 16

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Question 17

17.

99.7% of students have scores between what two values?

Question 18

18.

About what percent of students scored greater than 69 on the Chapter 1 test?

Question 19

19.

A student who scored a 75 would be at about what percentile of the distribution?

Question 20

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Question 21

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Question 22

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Question 23

23.

Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.