For the following set of scores, fill in the cells. The mean is 70 and the standard deviation is 8.

Raw score Z score
68.0 ?
? –1.6
82.0 ?
? 1.8
69.0 ?
? –0.5
85.0 ?
? 1.7
72.0 ?

1 answer

z score = (your data value - mean)/sd

I will do the first and fourth, follow the same procedure for the others

68, ?
z = (68-70)/8 = -2/8 = -.25

? 1.8
1.8 = (x - 70)/8
multiply by 8
14.4 = x-70
add 70
84.4 = x

notice the z value may be ±
but your data value must be positive for your problem