What is the variance of the following data If necessary roun

What is the variance of the following data? If necessary, round your answer to two decimal places.
17, 13, 13, 22, 11, 20

Solution

Variance is the average of squared deviations from the mean.

The given set of data is:

17, 13, 13, 22, 11, 20

[barx] =(17+13+13+22+11+20)/6=16

[x_i ] [x_i-barx] [(x_i-barx)^2]

---- ----------- ----------------------

17 1 1

13 -3 9

13 -3 9

22 6 36

11 -5 25

20 4 16

------------------------------------------------------

[sum(x_i-barx)^2=96]

Variance= [(sum(x_i-barx)^2)/n]

[=96/6=16.00]

What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20SolutionVariance is the average of squa

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