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28 November, 21:54

Which of the choices is the standard deviation of the sample shown here?

19, 20, 21, 22, 23

A. 2.5

B. 21

C. square root of 2.5

D. 2

E. square root of 2

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Answers (1)
  1. 28 November, 23:54
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    Mean = (19 + 20 + 21 + 22 + 23) / 5 = 105/5 = 21

    x x - mean (x - mean) ^2

    19 - 2 4

    20 - 1 1

    21 0 0

    22 1 1

    23 2 4

    Sum = 10

    Standard deviation = sqrt (sum (x - mean) ^2 / n) = sqrt (10/5) = sqrt (2)
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