The standard deviation of the sample data 13, 14, 17, and 20 equals if you know that the mean is 16 Select one: a. 3.16

Question

The standard deviation of the sample data 13, 14, 17, and 20 equals if you know that the mean
is 16
Select one:
a. 3.16
b. 7.98
c. 2.74
d. 9.16

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Faith 3 hours 2021-09-13T22:19:00+00:00 1 Answer 0

Answers ( )

    0
    2021-09-13T22:20:02+00:00

    Answer:

    a) 3.16

    Step-by-step explanation:

    Explanation:-

    Given sample size ‘n’ =4

    mean of x⁻ = ∑x / n

                      = \frac{13+14+17+20}{4} = \frac{64}{4} =16

              x⁻ = 16

    Given data

    x              13            14            17         20

    x – x⁻         -3           -2              1           4

    (x-x⁻)²        9              4              1          16

             ∑(x-x⁻)² = 9 + 4 + 1 +16 =30

    The sample Variance

    S² = ∑(x-x⁻)²/n-1

    S^{2} = \frac{30}{4-1} = \frac{30}{3} =10

    The standard deviation of the sample

     S = √10 = 3.1622 ≅3.16

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45:7+7-4:2-5:5*4+35:2 =? ( )