Question

If you have a mean score of 100 and a standard deviation of 10, what raw score would correspond to a z-score of:

(a) +3

(b) −2

(c) 0

(d) −1

(e) +1

Answer 1

Solution:-

Given that,

mean = = 100

standard deviation = = 10

a) z = 3

Using z-score formula,

x = z * +

x = 3 * 10 + 100

x = 130

b) z = -2

Using z-score formula,

x = z * +

x = -2 * 10 + 100

x = 80

c) z = 0

Using z-score formula,

x = z * +

x = 0 * 10 + 100

x = 100

d) z = -1

Using z-score formula,

x = z * +

x = -1 * 10 + 100

x = 90

e) z = 1

Using z-score formula,

x = z * +

x = 1 * 10 + 100

x = 110