A sample consists of the following n � 6 scores: 2, 7,

Question

4, 6, 4, and 7.
a. Compute the mean and standard deviation for the
sample.
b. Find the z-score for each score in the sample.
c. Transform the original sample into a new sample
with a mean of M � 50 and s � 10.

Answer 1

a. Find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

b. Z = (score-mean)/SD

c. You can make up your own.

I'll let you do the calculations.