Question

The six numbers below are drawn from N(26, 2.5). Compute by hand their standard scores. (Just type in your answers; remember, by-hand calculations need not be shown.)

1. 27.5 = 0.6    b. 35.0 =3.6    c. 28.5 = 1    d. 31 =2     e. 23.5 =-1   f. 25.5 =-0.2

2. What relationship do you see between the number, its z-score, and the mean of the distribution?

Answer 1

Z = (X -- mean)/sd

=(X - 26)/2.5

X	z
27.5	0.6
35	3.6
28.5	1
31	2
23.5	-1
25.5	-0.2

b)

we see that as number increase, z-score increase

if number is more than mean, z-score is positive where if number is less than mean, then z-score is negative.