1. Calculate the variance of the set of data to two decimal places. { 1,2,4,4,5,6,6} a. 22 b. 4 c.3.14

Question

1. Calculate the variance of the set of data to two decimal places.

{ 1,2,4,4,5,6,6}

a. 22
b. 4
c.3.14
d. 1/7
e.2

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Amity 2 months 2021-08-31T12:16:32+00:00 1 Answers 0 views 0

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    2021-08-31T12:18:25+00:00

    Answer:  3.14 (choice C)

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    Explanation:

    First we need the arithmetic mean

    Add up the values to get 1+2+4+4+5+6+6 = 28

    Divide this over the number of values (n = 7) to get 28/n = 28/7 = 4

    The mean is 4.

    Next, we subtract the mean from each data value and square the difference

    • (1-4)^2 = 9
    • (2-4)^2 = 4
    • (4-4)^2 = 0
    • (4-4)^2 = 0
    • (5-4)^2 = 1
    • (6-4)^2 = 4
    • (6-4)^2 = 4

    Add up those results: 9+4+0+0+1+4+4 = 22

    Lastly, we divide over the number of items (n = 7) to get the population variance: 22/n = 22/7 = 3.14 approximately

    ———-

    Side note:

    If you wanted the sample variance, then you divide over n-1 = 7-1 = 6

    22/(n-1) = 22/6 = 3.67 is the approximate sample variance

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