Question

If a normal distribution has a mean of 154 and a standard deviation of 15,

what is the value that has a z-score of 1.6?

Answer 1

The correct answer is - 178.

Explanation:

The standard deviation is a measure of the amount of dispersion in a set of values.

Given:

Mean of a normal distribution (m) = 154

Standard deviation (s) = 15

z-score = 1.6

Solution:

To find: value (x) that has a z-score of 1.6

z-score is given by = x-u/15

1.6*15 = x-154

=> 154+24 = x

x = 178