5
QuizMultiple Choice

Calculating and Interpreting z-Scores — Quiz

Question 5 • VA Statistics

A basketball player averages 22 point 5 points scored per game with a standard deviation of 6 point 2 points. In one game, the athlete scored 10 points. What is the z -score for the points scored in this game?

Answer
A
1 point 6 3
B
negative 1 point 6 3
C
negative 2 point 0 2
D
2 point 0 2

Explanation

Use the z-score formula: z = (observed score − mean) ÷ standard deviation. Substituting the values gives (10 − 22.5) ÷ 6.2 = −12.5 ÷ 6.2 ≈ −2.02. The score is about 2.02 standard deviations below the average, so the correct choice is negative 2.02 points.

AI-written and checked against the verified answer.

Previous
Next