3
QuizMultiple Choice

Variability

Question 3 • CARE_24_25_TX-Mathematical Models with Applications B

Compute the standard deviation for the set of data. 2, 4, 6, 8, 10

Answer
A
2.83
B
8
C
6.32
D
64

Explanation

The mean of 2, 4, 6, 8, and 10 is 6. Their squared deviations from the mean are 16, 4, 0, 4, and 16, which sum to 40. For the standard deviation of this data set, divide by 5 to get a variance of 8, then take the square root: √8 ≈ 2.83. The best answer is choice A, 2.83.

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