Question

A data set that is normally distributed has a mean of 128 and standard deviation of 6.2. What is the Z-score,

rounded to the nearest hundredth, for a data value of 143

Answer 1

• 2.42

Explanation:

Given:

• μ = 128
• σ = 6.2
• x = 143

Z-score is:

• z = (x - μ)/σ = (143 - 128)/6.2 ≈ 2.42 (rounded to the nearest hundredth)