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]
