6
QuizMultiple Choice

Standard Deviation

Question 6 • AZ-Common Core Algebra II B

The monthly mean salaries and standard deviations of four college students are given below.StudentMeanStandard DeviationClarissa$34512.53Abi$5988.99Kaila$81215.29Shenika$2087.67Which statement must be true?

Answer
A
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
B
The monthly salary of Kaila is less spread out than the monthly salary of Abi.
C
The monthly salary of Abi is less spread out than the monthly salary of Shenika.
D
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.

Explanation

Standard deviation measures how spread out the salaries are; a smaller standard deviation means less spread. Shenika’s standard deviation is $7.67, which is smaller than Clarissa’s $12.53, so Shenika’s monthly salary is less spread out. The other statements compare salaries whose standard deviations show the opposite relationship.

AI-written and checked against the verified answer.

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