Question

A population has mean 27 and standard deviation 10 . What is the data value that has a z-score of -2 ?

Answer 1

Step-by-step explanation:

The z-score, or a standardized test score equals:

z = (x - μ) / σ)

Thus substitute -2 into z, 27 into μ, and 10 into σ

-2 =
`(x-27)/(10)`

Thus solve for x:

-2(10) = x - 27

x = -2(10) + 27

x = -20 + 27 = 7