7
QuizMultiple Choice

Introduction to Normal Distributions — Quiz

Question 7 • Mathematics III

The annual salaries of all employees at a financial company are normally distributed with a mean of 34 dollars comma 000 and a standard deviation of 4 dollars comma 000 What is the z - score of a company employee who makes an annual salary of 54 dollars comma 000 ?

Answer
A
4
B
negative 3
C
negative 5
D
5

Explanation

Use the z-score formula: z = (salary − mean) ÷ standard deviation. For this employee, z = ($54,000 − $34,000) ÷ $4,000 = 5. The employee’s salary is 5 standard deviations above the mean, so the correct choice is A, 5.

AI-written and checked against the verified answer.

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