Question

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.

Answer 1

Answer:

z = -1.5

Step-by-step explanation:

To Find z-score

• z = (X - μ) / σ

1. X = Test score
2. μ = Mean
3. σ = Standard Deviation

Given

• X = 270
• μ = 300
• σ = 20

Solving

• z = 270 - 300 / 20
• z = -30/20
• z = -1.5