AP Statistics z-Scores and the Normal Distribution Quiz: 10 Questions with Explanations

AP Statistics math quiz: z-Scores and the Normal Distribution – Maths PDF

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This ap statistics normal distribution quiz for AP Statistics covers z-scores and the normal distribution (Common Core AP STAT 1.10, AP STAT 1.11, HSS-ID.A.4), with a free PDF to print.

Ten multiple-choice questions check z-scores, the empirical rule, and normal areas. Read every explanation, since each distractor is a common calculation error.

AP Statistics · Common Core State Standards: AP STAT 1.10, AP STAT 1.11, HSS-ID.A.4

Ap statistics normal distribution quiz: 10 questions

Question 1

A value of 34 on a scale with mean 28 and sd 3 has a z-score of:

Question 2

Standard normal.

What is P(Z < 1) approximately?

Question 3

Shaded 90 to 110.

About what proportion of values are in the shaded region?

Question 4

Shaded above 60.

About what percent of values are above the shaded boundary?

Question 5

Maya’s test z-score is 1.2 and Noah’s is 0.4. Which is true?

Question 6

The 75th percentile of a normal distribution corresponds to a z-score of about:

Question 7

In a normal distribution, P(X = 10) is:

Question 8

Heights have mean 66 in and sd 3 in. About what percent are between 60 and 72 inches?

Question 9

If every value is converted from inches to centimeters, what happens to a z-score?

Question 10

The empirical rule applies when a distribution is:

Remember

z = (x – mean) / sd measures position in standard deviations.
Empirical rule: 68% within 1 sd, 95% within 2 sd, 99.7% within 3 sd.
Area under the curve over an interval is the proportion of values in it; total area is 1.
Use normalcdf for areas and invNorm for percentiles; always sketch and shade first.
A percentile is the percent of values at or below a given value.

How to use this ap statistics normal distribution quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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