19
QuizMultiple Choice

Standard Deviation — Quiz

Question 19 • Algebra II

A missing data value from a set of data has a z -score of negative 2 point 1 Fred already calculated the mean and standard deviation to be mu is equal to 43 and sigma is equal to 2 What was the missing data value? Round the answer to the nearest whole number.

Answer
A
41
B
45
C
39
D
47

Explanation

Use the z-score formula z = (x − μ)/σ and solve for the data value: x = μ + zσ. Substituting μ = 43, z = −2.1, and σ = 2 gives x = 43 + (−2.1)(2) = 38.8. Rounded to the nearest whole number, the missing value is 39, choice C.

AI-written and checked against the verified answer.

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