Question

A distribution of exam scores has a mean of μ = 42.b. If your score is X= 38, which standard deviationwould give you a better grade: σ = 5 or σ = 10?

Answer 1

Remember that

z =(x - μ)/σ

where

μ=42

x=38

so

For σ=5

z=(38-42)/5=-0.8

For σ=10

z=(38-42)/10=-0.4

-0.4 > -0.8

therefore

The answer is σ=10