Stats- Z scores

Question

For a population with a mean of 60 and a standard deviation of 12, find the z score for each of the following X values. 75, 48, 84, 54,78, 51

Answer 1

To find the z-score, use the following formula

z = (x-µ)/σ

where µ is the mean, 60, and σ is the standard deviation, 12.

The values given, 75, 48, 84, 54,78, 51, are the x values

for 75,

(75-60)/12 = 15/12 = 1.25

for 48

(48-60)/12 = -12/12 = -1

for 84

(84-60)/12 = 24/12 = 2

for 54

(54-60)/12 = -6/12 = -1/2

for 78

(78-60)/12 = 18/12 = 1.5

for 51

(51-60)/12 = -9/12 = -3/4