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Wolfram Language & System Documentation Center
PivotTable
  • See Also
    • AggregateRows
    • PivotFromColumns
    • PivotToColumns
    • TransformColumns
    • Tabular
  • Related Guides
    • Tabular Communication
    • Tabular Transformation
    • Tabular Processing Overview
    • See Also
      • AggregateRows
      • PivotFromColumns
      • PivotToColumns
      • TransformColumns
      • Tabular
    • Related Guides
      • Tabular Communication
      • Tabular Transformation
      • Tabular Processing Overview

PivotTable[tab,f,rowcol,colcol]

constructs a table where the value at the position with keys {row,col} is given by applying the function f to the subtabulars corresponding to the rows of tab where rowcol has value row and colcol has value col.

PivotTable[tab,{key1f1,…},rowcols,colcols]

uses multiple aggregation functions fi denoted by keyi.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Options  
IncludeGroupAggregates  
Applications  
Transplant Patients  
Fuel Efficiency  
New Mothers  
Properties & Relations  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • AggregateRows
    • PivotFromColumns
    • PivotToColumns
    • TransformColumns
    • Tabular
  • Related Guides
    • Tabular Communication
    • Tabular Transformation
    • Tabular Processing Overview
    • See Also
      • AggregateRows
      • PivotFromColumns
      • PivotToColumns
      • TransformColumns
      • Tabular
    • Related Guides
      • Tabular Communication
      • Tabular Transformation
      • Tabular Processing Overview

PivotTable

PivotTable[tab,f,rowcol,colcol]

constructs a table where the value at the position with keys {row,col} is given by applying the function f to the subtabulars corresponding to the rows of tab where rowcol has value row and colcol has value col.

PivotTable[tab,{key1f1,…},rowcols,colcols]

uses multiple aggregation functions fi denoted by keyi.

Details and Options

  • PivotTable is also known as contingency table in statistics.
  • PivotTable provides a way to summarize and reorganize data by applying an aggregation function to subtabulars specified by values of selected columns.
  • PivotTable[tab,f,rowcols,colcols] produces a Tabular object in which rowcols are key columns.
  • If the colcol specification is a list of several keys, the resulting table will have ExtendedKey column keys.
  • For each group determined by Flatten[{rowcols,colcols}], there is a subtabular stab corresponding to a subset of rows of tab. The aggregation functions fi are applied to the association of columns given by FromTabular[stab,"Columns"].
  • PivotTable[tab,{key1f1,…},rowcols,colcols] is effectively PivotToColumns[AggregateRows[tab, {key1f1,…}, Flatten[{rowcols,colcols}]],colcols{key1,…}].
  • The following option can be given:
  • IncludeGroupAggregates Falsewhether to show margins giving the aggregation for subsets of the groups »

Examples

open all close all

Basic Examples  (2)

Make a pivot table showing mean age of passengers:

Mean age per class and sex:

Show margins with the mean age for group subsets:

Take tabular data about sales:

Construct a pivot table showing number of product types per region and sector:

Scope  (3)

Take a table of data about penguins in the Palmer Archipelago:

Construct a pivot table specifying the output row keys and column keys by multiple input columns:

Show the number that lived and died for the Titanic:

Show group aggregate summaries:

Make a pivot table showing the percent survival for the Titanic:

Percent survived per class and per sex:

Show margins with the survival rate for group subsets:

Options  (1)

IncludeGroupAggregates  (1)

Take a table of data about penguins in the Palmer Archipelago:

Create pivot table to count the number of penguins per species and per island:

Use IncludeGroupAggregates to get the values of the function for the whole category across the rows and across the columns:

Applications  (3)

Transplant Patients  (1)

The data contains information on kidney transplant patients—time in days to death or on-study time since transplant at the given age:

Show the mean survival time in years split according to gender and race:

Show group aggregate summaries:

Show the mean survival time in years split according to alive status versus gender and race:

Fuel Efficiency  (1)

Take data for a selection of car models:

Find the mean city and highway milage per each model and each year:

Find the change in mean milage from 1999 to 2008:

Select the models where both city and highway mileage decreased:

New Mothers  (1)

Take data containing information about new mothers:

Create a pivot table counting how many new mothers smoked, depending on if they used or did not use alcohol, grouped by "motherage":

Visualize the pivot table:

Properties & Relations  (2)

Perform a PivotTable operation with a given list of aggregation functions:

This is equivalent to using AggregateRows with the same aggregations, followed by PivotToColumns to restructure the result:

The group aggregate summaries can be obtained as follows:

Compare to the group aggregation row and columns of this result:

Pivot tables have row keys:

Extract the list of row keys:

Use RowKey to access group aggregate values:

See Also

AggregateRows  PivotFromColumns  PivotToColumns  TransformColumns  Tabular

Related Guides

    ▪
  • Tabular Communication
  • ▪
  • Tabular Transformation
  • ▪
  • Tabular Processing Overview

History

Introduced in 2025 (14.2)

Wolfram Research (2025), PivotTable, Wolfram Language function, https://reference.wolfram.com/language/ref/PivotTable.html.

Text

Wolfram Research (2025), PivotTable, Wolfram Language function, https://reference.wolfram.com/language/ref/PivotTable.html.

CMS

Wolfram Language. 2025. "PivotTable." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PivotTable.html.

APA

Wolfram Language. (2025). PivotTable. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PivotTable.html

BibTeX

@misc{reference.wolfram_2025_pivottable, author="Wolfram Research", title="{PivotTable}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/PivotTable.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_pivottable, organization={Wolfram Research}, title={PivotTable}, year={2025}, url={https://reference.wolfram.com/language/ref/PivotTable.html}, note=[Accessed: 01-December-2025]}

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