Question

The mean of a set of credit scores is o = 690 and Sigma = 14. Which statement must be true?

A. z690 is within 1 standard deviation of the mean.
B. z690 is between 1 and 2 standard deviations of the mean.
C. z690 is between 2 and 3 standard deviations of the mean.
D. z690 is more than 3 standard deviations of the mean.

Answer 1

c on edge

Explanation:

Answer 2

C. Z690 is between 2 and 3 standard deviations of the mean

Explanation:

A z-score tells us how many standard deviations away from the mean a value is.

Given that the mean of the credit score is

μ = 690

And the standard deviation is

σ = 14

Then, the z score is calculated using

z = (x - μ) / σ

Since it is not away from the mean, it is within 1 standard deviation above or below the mean.

Then, since 1 standard deviation is between -2 and -3

Then, the Z690 is between 2 and 3 standard deviations of the mean