Table of Contents |

Create a box-and-whisker diagram Set Adjustable or Variable Box Widths |

## Create a box-and-whisker diagram

A box plot compares the difference among median values. In Grapher, you can create a box diagram and display a confidence interval for the median by following the steps below:

- Click the
**Home | New Graph | Statistical | Vertical Box Plot**, the**Home | New Graph | Statistical | Notched Vertical Box Plot**, the**Home | New Graph | Statistical | Horizontal Box Plot**, or the**Home | New Graph | Statistical | Notched****Horizontal Box Plot**command. - In the
**Open Worksheet**dialog, select the data file and click*Open*. The default box-whisker plot is created. - Click on the box plot layer in the
**Object Manager**to select it (underneath*Graph 1*). - In the
**Property Manager**, click on the**Plot**tab. - From the Plot properties tab you can
- adjust the first and last variable,
- choose to use data in rows,
- create a grouped box plot,
- notch the boxes,
- adjust the statistics being graphed,
- and much more!

- See the Box Plot Properties help page for more details about each available property.

*A Vertical and Horizontal Notched Box-Whisker Plots in Grapher.*

## Set Adjustable or Variable Box Widths

If you'd like to layer box plots, or represent the size of data populations in each sample dataset, you can control the width of box plots in Grapher. To change the width of a boxes in a box plot:

- Select the Box Plot in the
**Object Manager.** - In the
**Property Manager,**click the**Plot**tab. - Expand the
*Width*section. - Change the
*Box width (percentage)*to change the width for all boxes at the same time. - Set the
*Type*field to*Variable, Fixed,*or leave it set to*Auto.**Variable*to vary the size based on the number of sample entries in each set of data. When using the*Variable*option the width of each box is determined via the sample count in that box vs the sum of the sample counts of all boxes.*Fixed*to choose a set width for each box plot.*Auto*to have Grapher automatically determine an appropriate box width

*Box plot with Variable Widths applied. *

## Use Data Filter to Clip Box Plot Limits

The data filter makes it possible to exclude or include specific criteria from your data without removing these data from your file. You can use the data filter with Box Plots in Grapher.

- In the
**Object Manager**, select the Box Plot. - In the
**Property Manager,**click the**Data Limits**tab. - Click
*Set*in the*Criteria Filter*section. - Delete the existing values in the
*Clipping*section and replace with desired values. Learn more about Clipping in Grapher's Help. - Fill out the
*Exclude data*or*Include data*fields for your desired results and click*OK.*

**Note**

Removing data from a Box Plot using Data Filter may affect the statistical shape or distribution of that box, depending on the chosen settings for Box Edges and Whiskers.

Learn more in Grapher's Help.

## Create Irregularly Spaced Box Plots

There are two possible workflows for creating irregularly spaced box plots in Grapher.

If your box plot categories are numeric, complete the steps below:

- Click
**Home | New Graph | Statistical | Vertical Grouped Box Plot**(). - In the
**Open Worksheet**dialog, select your data file and click*Open*. - Click the new box plot in the
**Object Manager**to select it. - Click the
**Plot**tab in the**Property Manager**. - Set the
*First Variable*and*Last Variable*to the same data column. This enables the box plot axis to use a linear scale. - Click the
*Box Plot Axis*in the**Object Manager**to select it. - Click the
**Axis**tab in the**Property Manager**. - Click in the
*Scale*field and select*Linear*or the desired scale.

*Create irregularly spaced box plots using a grouped box plot with linear axis.*

If your box plot categories are alpha-numeric, complete the steps below to space box plots at irregular intervals along the axis.

- Click on the box plot in the
**Object Manager**to select it. - In the
**Property Manager**, click on the Plot tab. - Change the
*Last variable*to be the same as the*First variable*. Only one box is now plotted. - In the
**Object Manager**, click on the*Box Plot Axis 1*to select it. - In the
**Property Manager**, click on the**Axis**tab. - Change the
*Length*to twice the desired width of the bar. If the box should be 0.5 inches wide, make the*Length*equal to 1.0 inches. - Click the
**Graph Tools | Add to Graph | Axis | X Axis**. - In the
**Position X Axis**dialog, click*At the bottom end of.* - Check the box next to
*Disable tick marks*, and*Disable labels*, and then click*OK*. - Click the
**Graph Tools | Add to Graph | Plot****| Box Plot - Vertical Plot**command. - In the
**Choose Axes**dialog click*Position c*lick*OK to*create a new X axis. - Select the data file and click
*Open*. - Select the new box plot in the
**Object Manager**. - Repeat steps 2 through 6 for the new box plot.
- In the plot window, click and drag the new box plot axis to move it to the desired location.
- Repeat steps 10-14 for each additional box plot.
- To keep your boxes relatively positioned so that they move with other plot changes, link your boxes to the appropriate axis in the Link Axis tab of the
**Property Manager**.

*Create variable spaced box plots using multiple box-plot axes.*

*Updated March 2024*

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