Question

QUESTION 4

A test was administered in a health class. The scores have a mean of 75 with a standard deviation of 4.8. Pat scored an 83 on the test. How
does Pat's score deviate from the mean on the standard scale?

Answer 1

Pat's score is 1.67 standard deviation above the mean

Explanation:

We solve using z score formula

z score tells us how much a score deviates from the mean

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

x = 83

μ = 75

σ = 4.8

z score = 1.66667

Therefore, Pat's score is 1.67 standard deviations above the mean