9
QuizMultiple Choice

Standard Deviation

Question 9 • AZ-Common Core Algebra II B

The mean ages with standard deviations of four swim teams at a swim club are given below.TeamMeanStandard DeviationStars164.1Dolphins181.5Giants140.3Mackerels152.3Which statement is most likely to be true?

Answer
A
The ages of the Mackerels are the most dispersed from the team’s mean.
B
The ages of the Stars are the most dispersed from the team’s mean.
C
The ages of the Dolphins are the most dispersed from the team’s mean.
D
The ages of the Giants are the most dispersed from the team’s mean.

Explanation

Standard deviation describes how dispersed values are from their mean: the larger the standard deviation, the greater the spread. The Stars’ standard deviation is 4.1, larger than the Mackerels’ 2.3, Dolphins’ 1.5, and Giants’ 0.3. Therefore, the Stars’ ages are most dispersed from their team’s mean.

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