Question

In a distribution of scores, X = 64 corresponds to Z = 3.00, and X = 28 corresponds to a Z score of Z = 1.5. Find the mean and standard deviation for this distribution.

Answer 1

=> 3 = (64 - ) /
=> = (64 - ) / 3 ..... (1)

also,
=> 1.5 = (28 - ) /
=> = (28 - ) / 1.5.... (2)

comparing both equations
=> (64 - )/3 = (28 - )/1.5
=> 64 - = 56 - 2
=> = 56 - 64
=> = -8

= (64 - (-8)) / 3 = 24