# Documentation/Calc Functions/PEARSON

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## Function name:

PEARSON

## Category:

Statistical Analysis

## Summary:

Calculates the sample Pearson correlation coefficient (r) of two data sets.

## Syntax:

PEARSON(**Data1**; **Data2**)

## Returns:

Returns a real value which is the sample Pearson correlation coefficient of values in **Data1** and **Data2**. It returns a value in range [-1,1].

## Arguments:

**Data1** is a reference to a range of cells which 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. However for logical values, TRUE is considerd as 1 and FALSE as 0.
- If
**Data1**and**Data2**have different numbers of data points then the function returns an error value.

## Additional details:

- The formula for PEARSON is:

r =

where x̄ and ӯ are mean values.

- CORREL and PEARSON functions perform the same operation.
- For more details on the sample Pearson correlation coefficient, 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 |
---|---|---|

=PEARSON(A1:A6;B1:B6) | The function calculates the Pearson correlation coefficient of the two data sets, Data1 and Data2. |
0.46706598573232 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

PEARSON