Question

The grades on a history midterm at Almond are roughly symmetric with y = 85 and o = 2.0.

Michael scored 86 on the exam.
Find the z-score for Michael's exam grade. Round to two decimal places.

Answer 1

The z-score for Michael's exam grade is 0.50

Explanation:

Data

• mean, μ = 85

• standard deviation, σ = 2.0

• Michael's exam grade is the value of interest, x = 86

From definition, z-score is computed as follows:

Z = (x - μ)/σ

Z = (86 - 85)/2.0

Z = 0.50