Question

The scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation of 6. What is the standard score for an exam score of 74?

Answer 1

Solution :-

Score = 74 - 65/6

Score = 9/6

Hence

Score is 9/6 or 1.5

Answer 2

z = 1.5

Explanation:

x - mean

standard score = -----------------

6

Substituting 74 for x, 65 for mean, we get:

74 - 65

standard score = ----------------- = 9/6 = 1.5

6

The pertinent z-score (standard score) is 1.5.