12
QuizMultiple Choice

Standard Deviation — Quiz

Question 12 • Algebra II

A poll worker analyzing the ages of voters found that mu is equal to 65 and sigma is equal to 5 What is a possible voter age that would give her z sub x is equal to 1 point 1 4 ? Round your answer to the nearest whole number.

Answer
A
66
B
90
C
71
D
59

Explanation

Use the z-score formula z = (x − μ) / σ and solve for the age: x = μ + zσ. Substituting μ = 65, σ = 5, and z = 1.14 gives x = 65 + (1.14 × 5) = 70.7, which rounds to 71. The correct choice is 71.

AI-written and checked against the verified answer.

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