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# How to Calculate Weighted Standard Deviation in Excel

The weighted standard deviation is a useful way to measure the dispersion of values in a dataset when some values in the dataset have higher weights than others.

The formula to calculate a weighted standard deviation is:

where:

• N: The total number of observations
• M: The number of non-zero weights
• wi: A vector of weights
• xi: A vector of data values
• x: The weighted mean

The following step-by-step example shows how to calculate a weighted standard deviation in Excel.

### Step 1: Create the Data

First, letâ€™s create a column of data values along with their weights:

### Step 2: Calculate the Weighted Mean

Next, we can use the following formula to calculate the weighted mean:

```=SUMPRODUCT(A2:A11, B2:B11) / SUM(B2:B11)
```

The weighted mean turns out to be 31.147:

### Step 3: Calculate the Weighted Standard DeviationÂ

Next, we can use the following formula to calculate the weighted standard deviation:

`=SQRT(SUMPRODUCT((A2:A11-E2)^2, B2:B11) / SUM(B2:B11, -1))`

The weighted standard deviation turns out to be 8.570:

And if youâ€™d like to calculate the weighted variance, itâ€™s simply 8.5702 = 73.44.