This tutorial explains how to calculate the three sigma values.
The following are the points obtained by the set of 5 players in a game 11,10,9,10.2,15.7. Find the variance and 3sigma for the given points.
Data Set = 11,10,9,10.2,15.7 N = 5
Variance and Three sigma
First, let us calculate the average for the given data set. Avg = Dataset/N = 11+10+9+10.2+15.7 / 5 = 55.9 / 5 Avg = 11.18
S,Square and AvergeNew value can be calcuated in the below table
S | Square | Avgnew |
---|---|---|
-0.18 | 0.032 | 0.0324 |
-1.18 | 1.392 | 1.4248 |
-2.18 | 4.752 | 6.1772 |
-0.98 | 0.960 | 7.1376 |
4.51 | 20.43 | 27.5679 |
Let us calculate the value of variance. Variance = Avgnew/N; Variance = 5.5136 Sigma = √variance= √5.5136 Three sigma = 3*sigma 3sigma = 7.0443
Three sigma = 7.0443