You can use the **DEVSQ** function in Google Sheets to calculate the sum of squares of deviations for a given sample.

This function uses the following basic syntax:

**=DEVSQ(value1, value2, value3, ...)**

Here’s the formula that **DEVSQ** actually uses:

Sum of squares of deviations = Σ(x_{i} – x)^{2}

where:

**x**: The i_{i}^{th}data value- x: The sample mean

The following example shows how to use this function in practice.

**Example: How to Use DEVSQ in Google Sheets**

Suppose we have the following dataset in Google Sheets:

We can use the following formula to calculated the sum of squares of deviations for this dataset:

=DEVSQ(A2:A13)

The following screenshot shows how to use this formula in practice:

The sum of squares of deviations turns out to be **319**.

We can confirm this is correct by manually calculating the sum of squares of deviations for this dataset.

**Note**: The average value of this dataset is 9.5.

Knowing this, we can simply plug in the values from the dataset into the formula for sum of squares of deviations:

- Sum of squares of deviations = Σ(x
_{i}– x)^{2} - Sum of squares of deviations = (2-9.5)
^{2}+ (3-9.5)^{2}+ (5-9.5)^{2}+ (5-9.5)^{2}+ (7-9.5)^{2}+ (8-9.5)^{2}+ (9-9.5)^{2}+ (12-9.5)^{2}+ (14-9.5)^{2}+ (15-9.5)^{2}+ (16-9.5)^{2}+ (18-9.5)^{2} - Sum of squares of deviations = 56.25 + 42.25 + 20.25 + 20.25 + 6.25 + 2.25 + 0.25 + 6.25 + 20.25 + 30.25 + 42.25 + 72.25
- Sum of squares of deviations =
**319**

The sum of squares of deviations turns out to be **319**.

This matches the value that we calculated using the **DEVSQ** function.

**Additional Resources**

The following tutorials explain how to perform other common operations in Google Sheets:

How to Use COUNTIF with Multiple Ranges in Google Sheets

How to Use SUMIF with Multiple Columns in Google Sheets

How to Sum Across Multiple Sheets in Google Sheets