The Google Sheets function DEVSQ is a statistical tool used to calculate the sum of the squares of the deviations of a dataset from its mean. This function is particularly useful in various analytical scenarios, allowing users to assess the variability within a sample by providing a measure of dispersion.

Syntax

DEVSQ(value1, [value2, ...])

• value1: The first data point or range of data points being analyzed.
• value2: Optional additional data points or ranges to include in the calculation. You can include up to 30 additional arguments.

Example #1

=DEVSQ(A1:A5)

This formula calculates the sum of the squares of deviations for the values in cells A1 through A5. For instance, if A1=5, A2=7, A3=9, A4=6, and A5=8, the result would be 30, showing the total deviation from the mean.

Example #2

=DEVSQ(5, 7, 9)

Here, the function takes three individual values: 5, 7, and 9, to compute the sum of their squares of deviations. The result would thus be 8, which illustrates the variability of these specific data points.

Example #3

=DEVSQ(A1:A3, B1:B3)

This function analyzes two ranges: A1 through A3 and B1 through B3. If A1=5, A2=7, A3=9 and B1=4, B2=6, B3=8, the output here would be 14, reflecting the combined deviation of both sets from their respective means.

Error handling

• VALUE!: This error occurs when a non-numeric value is input as one of the parameters. Only numeric values can be processed by the DEVSQ function.
• NUM!: This error may arise if the provided ranges or values are empty or contain incompatible data types. Ensure all values are numeric.

Conclusion

In summary, the DEVSQ function is a powerful tool for analyzing the sum of squares of deviations in Google Sheets. By understanding its syntax and how it processes input values, users can better assess variability within their data. This function is essential in statistical analysis, offering insights into how data points deviate from their mean, supporting better-informed decision-making.