36
QuizMultiple Choice

Standard Deviation — Quiz

Question 36 • Algebra II

The mean ages with standard deviations of four swim teams at a swim club are given. Team Mean Standard Deviation Stars 16 4 point 1 Dolphins 18 1 point 5 Giants 14 0 point 3 Mackerels 15 2 point 3 Which statement is most likely to be true?

Answer
A
The ages of the Giants 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 Mackerels are the most dispersed from the team’s mean.

Explanation

Standard deviation measures how dispersed the ages are from a team’s mean age. The Stars’ standard deviation is 4, compared with 1.5 for the Dolphins, 0.3 for the Giants, and 2.3 for the Mackerels. Since 4 is the largest, the Stars’ ages are most dispersed from their mean.

AI-written and checked against the verified answer.

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