Question

A set of 200 scores is normally distributed with a mean of 60 and . a standard deviation of 12. a, What are the z-scores corresponding to the. raw scores .of 76, 38; and 50

Answer 1

Z scores for:

a) 76 = 1.33333

b) 38 = -1.83333

c) 50 = -0.83333

Explanation:

Z score formula is:

z = (x-μ)/σ where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Mean = 60

Standard deviation = 12.

a) 76

z = (x-μ)/σ

z = 76 - 60/12

z score = 1.33333

b) 38

z = (x-μ)/σ

z = 38 - 60/12

z score = -1.83333

c) 50

z = (x-μ)/σ

z = 50 - 60/12

z score = -0.83333