How to Calculate 3 Sigma - Formula, Example

Definition:

This tutorial explains how to calculate the three sigma values.

Example :

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.

Given :

Data Set = 11,10,9,10.2,15.7 N = 5

To Find :

Variance and Three sigma

Solution :

Step 1:

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

Step 2:

S,Square and AvergeNew value can be calcuated in the below table

Step 3:

Let us calculate the value of variance. Variance = Avgnew/N; Variance = 5.5136 Sigma = √variance= √5.5136 Three sigma = 3*sigma 3sigma = 7.0443

Result :

Three sigma = 7.0443