Find the z score?

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

Now find the X value that corresponds to each of the following z-scores:

1.00, 0.25, 1.50, -.50, -1.25, -2.50

Answer 1

How to find z-score, example 1st x value = 75

z score = (x - mean)/standard deviation = (75-60)/12 = 15/12 = 1.25

same for the other five x values, just replace x in the equation

How to find x for z-score, example 1st z-score = 1

1 = (x - mean)/standard deviation

1 = (x - 60)/12

12 = x-60

x = 72

same for other five z values, just replace z value in the equation