Generate Box and Whisker Plot online.

Box Plot Calculator

Enter the dataset values into this box plot generator, and click 'Calculate' to create your box and whisker plot statistically.

Box Plot Calculator: Make Box and Whisker Plot

This boxplot calculator generates the visual box-whisker plot representation of the given dataset values. It makes the plot by pin-point five different statistical parameters such as (minimum, maximum, first quartile Q1, median Q2, and third quartile Q3)

What is a Box Plot?

“A box-and-whisker plot is a graphical tool that summarizes a dataset. It can be displayed along a number line, either horizontally or vertically.”

This type of plot makes it easy to compare the distribution of different datasets by showing their values side by side on a single graph. A box-and-whisker plot generator is an effective tool to visualize data distribution and make insightful comparisons.

Examples:

Comparing test scores across multiple classrooms
Age distribution among different departments in a company
Height variation of various plant species
Observing data before and after a process change

boxplot

Box-and-Whisker Plot Components:

This plot is based on the following five statistical values:

Minimum value: The smallest value in the dataset
Maximum value: The largest value in the dataset
First quartile (Q1): The value separating the lowest 25% of data points
Median (Q2): The middle value of the dataset
Third quartile (Q3): The value separating the highest 25% of data points

How to Make a Box & Whisker Plot?

Arrange the dataset values in ascending order
Calculate the five-number summary
Draw a number line and label the axis
Create a box connecting the first and third quartiles
Calculate the interquartile range (IQR) and draw the whiskers extending to the minimum and maximum values
Plot any outliers beyond the whiskers

Solved Example (Step-by-Step):

Consider the following dataset and create a box plot for it: Data set = 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5

Steps to Create a Box Plot

# 1: Order the dataset

The dataset is already arranged in ascending order: 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5

# 2: Find the five-number summary

Maximum Number	5
Minimum Number	1
First Quartile (Q1)	2.5
Median (Q2)	4
Third Quartile (Q3)	5.0

# 3: Draw, label, and create the box

whisker and box plot

Instead of drawing the plot manually, an online box and whisker plot maker can quickly generate a graphical analysis of your dataset in seconds.

How to Read a Box Plot?

In a box-and-whisker plot:

The box represents the middle 50% of the data, also called the interquartile range (IQR)
The left edge of the box shows the first quartile (Q1)
The right edge of the box shows the third quartile (Q3)
The vertical line inside the box represents the median (Q2). Sometimes, it is indicated by a dot or a cross
The whiskers extend from the box to the minimum and maximum values outside the middle 50%

FAQs:

What are outliers?

Outliers are data points that lie significantly outside the whiskers, typically more than 1.5 times the IQR above Q3 or below Q1.

How many data values can I enter in the box plot calculator?

You can enter an unlimited number of numeric values in this box-and-whisker plot calculator.

What do the whiskers show?

The whiskers extend from the edges of the box to the minimum and maximum values that are not considered outliers.

How many data points are used in a box plot?

Minimum value
Maximum value
First quartile (Q1)
Median (Q2)
Third quartile (Q3)

References:

BBC Bitesize: Box and whisker plot

Khan Academy: Reading and Constructing a Box Plot