Question

Use technology or a z-score table to answer the question.

The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on the test.

What percent of students scored below Jake?

Round your answer to the nearest whole number.


A. 33%

B. 57%

C. 63%

D. 72%

Answer 1

63%

Explanation:

63%

Answer 2

C

Explanation:

First we find the z-score.

z = (x - μ) / σ

z = (520 - 500) / 60

z = 0.33

Using a calculator or z-score table:

P(z < 0.33) = 0.6293

The probability is approximately 63%. Answer C