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# Variance

> The Variance function estimates the sample variance of a column or group, measuring how far values deviate from the mean.

The **Variance** function estimates the sample variance of a column or group. This statistical measure determines the spread of distribution or degree to which the column or grouped values deviate from the mean. A small variance indicates the values are close to the mean (little variability), while a large variance indicates the values are dispersed farther from the mean (greater variability).

**Variance** assumes your dataset is a sample of a larger population. If the dataset represents an entire population, use the **[VariancePop](/docs/variancepop)** function to calculate actual variance.

Sigma calls the underlying CDW or DBMS function that uses the statistical sample variance definition. Refer to your CDW or DBMS provider’s documentation for details about the called function.

The **Variance** function is an aggregate function.

Aggregate functions evaluate one or more rows of data and return a single value.

In a table element, the aggregate is calculated for each grouping. For information on how to add a grouping with an aggregate calculation to a table, see [Group columns in a table](/docs/create-and-manage-tables#group-columns-in-a-table).

In a table with no groupings, the aggregate is calculated for each row. For information on how to calculate summary statistics across all rows in a table, see [Add summary statistics to a table](/docs/create-and-manage-tables#add-summary-statistics-to-a-table).

To learn more about using aggregate functions, see [Building complex formulas with grouped data](https://www.sigmacomputing.com/resources/training-videos/table-grouping-and-functions#complex-formulas).

## Syntax

```
Variance(field)
```

Function argument:

<dl>
  <dt>
    field
  </dt>

  <dd>
    (required) The column to reference when estimating sample variance.
  </dd>
</dl>

## Underlying formula

<table>
  <tbody>
    <tr>
      <td>
        ∑( x

        <sub>i</sub>

         – x̄ )

        <sup>2</sup>
      </td>
    </tr>

    <tr>
      <td>
        n – 1
      </td>
    </tr>
  </tbody>
</table>

* x<sub>i</sub> = each sample value
* x̄ = the mean of all sample values
* n = the total number of sample values (sample size)

## Example

A table contains a sample of customer ratings for specific products. If the data is grouped by product, you can use the following formula to measure and compare the ratings variability for each product.

```
Variance([Customer rating (0-5)])
```

When you calculate the formula in the *Product* grouping, the function returns the sample variance for each product. This example indicates a broader range of customer ratings for Product B.

![](https://sigma-docs-screenshots.s3.us-west-2.amazonaws.com/Functions/variance_example.png)

## Related resources

* [VariancePop](/docs/variancepop)