Question

3a. The average for the statistics exam was 75 and the standard deviation was 8.

Andrey was told by the instructor that she scored 1.5 standard deviations below
the mean. What was Andrey's exam score?

Answer 1

63

Explanation:

The formula to when given the number of standard deviations below the mean x =μ - nσ

Where:

x = raw score

μ is the population mean = 75

σ is the population standard deviation = 8.

n = number of standard deviations below the mean

Hence

x = 75 - 1.5 × 8

x = 75 - 12

x = 63

Therefore, Andrey's exam score is 63