Weighted Sample Standard Deviation and Weighted Sample Variance
The formula used for calculation of the weighted sample Standard Deviation (“Weighted Stdev”) and weighted sample Variance (“Weighted Variance”) is the following, defined by NIST.gov, National Institute of Standards and Technology:
Example with sample data:
Value |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
23 |
Weight |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
100 |
Mean |
Weighted Mean |
Sample Standard Deviation |
Weighted sample Standard Deviation |
Sample Variance |
Weighted sample Variance |
10.75 |
22.08 |
5.34 |
3.74 |
28.50 |
13.99 |