Altair® Panopticon

 

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