23
QuizMultiple Choice

Standard Deviation — Quiz

Question 23 • Algebra II

The weekly salaries of a sample of employees at the local bank are given in the table. Employee Weekly Salary Anja 245 dollars Raz 300 dollars Natalie 325 dollars Mic 465 dollars Paul 100 dollars What is the variance for the data? Variance: s^2=((x_1−x―)^2+(x_2−x―)^2+...+(x_n−x―)^2)/(n−1)

Answer
A
17 comma 507 point 5
B
132 point 3 2
C
14 comma 006
D
118 point 3 5

Explanation

First find the mean: (245 + 300 + 325 + 465 + 100) / 5 = 287 dollars. The squared deviations from the mean add to 70,030. Since this is a sample, divide by n − 1 = 4: s² = 70,030 / 4 = 17,507.5. The variance is 17,507.5, choice A.

AI-written and checked against the verified answer.

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