7
QuizMultiple Choice

Calculating and Interpreting z-Scores

Question 7 • DRHS GA-Statistical Reasoning

A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the athlete scored 10 points. What is the z-score for the points scored in this game?

Answer
A
–2.02
B
–1.63
C
1.63
D
2.02

Explanation

Use the z-score formula: z = (score − mean) ÷ standard deviation. Substituting the values gives z = (10 − 22.5) ÷ 6.2 = −12.5 ÷ 6.2 ≈ −2.02. The correct choice is –2.02.

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