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AP Statistics/Unit 1: Exploring One-Variable Data
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Interpreting Proportions in a Histogram

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The area under a histogram for a variable z is distributed as follows: 20% between z=−2z = -2 and z=−1z = -1, 40% between z=−1z = -1 and z=0z = 0, 10% between z=0z = 0 and z=1z = 1, and 30% between z=1z = 1 and z=2z = 2. Which of the following statements must be true?

A

The histogram indicates that 30% of the area lies between z=−1z=-1 and z=0z=0, suggesting that 60% lies to the right of z=0z=0.

B

The total area from z=0z=0 to z=2z=2 is 50%, so the area between z=+1z=+1 and z=+2z=+2 must be 20%.

C

The area under the histogram between z=+1z=+1 and z=+2z=+2 is 10%, and 70% of the area lies to the left of z=0z=0.

D

The area under the histogram between z=+1z=+1 and z=+2z=+2 is 30%, and 60% of the area lies to the left of z=0z=0.

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