# Documentation/Calc Functions/COVARIANCE.P

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COVARIANCE.P

## Category:

Statistical Analysis

## Summary:

Returns the covariance of the product of paired deviations, for the entire population.

## Syntax:

COVARIANCE.P(Data1; Data2)

## Returns:

Returns a real number which is population covariance (the average of the products of deviations) for each data point pair in two data sets, Data1 and Data2.

## Arguments:

Data1 is a reference to a range of cells that is considered the first data set.

Data2 is a reference to a range of cells which is considered the second data set.

• If a cell contains text, or empty cells, then the function ignores these values.
• If Data1 and Data2 have different number of data points then the function returns an error value.
• If the standard deviation of Data1 and Data2 is 0 then the function returns an error value.
• If any of the arguments is empty, or if the standard deviation of their values equals zero, COVAR returns an error value.

## Additional details:

• The formula for COVARIANCE.P is:

where x̄ and ӯ are mean values.

• COVAR and COVARIANCE.P perform the same function.
• For more details on covariance, visit Wikipedia.

## Examples:

Data1 Data2
1 195 200
2 151 180
3 148 178
4 189 165
5 183 192
6 154 144
Formula Description Returns
=COVARIANCE.P(A1:A6;B1:B6) The function calculates covariance (the average of the products of deviations) for each data point pair in two data sets, Data1 and Data2. 165.166666666667

None

COVARIANCE.P