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# 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 representation that summarizes a set of data. It can be displayed along the number line, horizontally, or vertically”

The plot is a straight-forward way to compare the distribution of different data sets by representing the values side-by-side on a single graph. The box and whisker plot generator is the best tool that makes insightful comparisons and visualizes your data distribution.

Examples:

• Comparing the test scores across different classrooms
• Age distribution across the various departments in a company
• Height variation of multiple plant species
• Information from before and after a change in the process

### Box-and-Whisker Plot Components:

This graph comes from the five statistical terms below:

• Minimum value: Smallest value in the dataset
• Maximum value: Highest value in the dataset
• First quartile: Value that separates the lowest 25% of data points
• Median quartile: The middle value in the given set of data
• Third quartile: Value that separates the highest 75% of data points

## How to Make a Box & Whisker Plot?

• Arrange your given data set values
• Calculate the five number summary
• Draw the number line and label the axis
• Create a box connecting the quartiles
• Find the interquartile range and draw the whiskers
• Plot the outliers beyond the ends of the whiskers

### Solved Example (Step-by-Step):

Let us suppose a dataset that is given as follows. So make a boxplot of this given set of values. Data set = 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5

Steps to Create a Box Plot

# 1: Order the dataset

The given values are already arranged in ascending order 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5

# 2: Find the 5 number summary

 Maximum Number 5 Minimum Number 1 First Quartile 2.5 Median 4 Third Quartile 5

# 3: Draw, label, and create a box

Rather than sketching the plot manually, our online box and whisker plot maker is a valuable tool that takes a matter of seconds to show a graphical analysis of your dataset.

## How to Read a Box Plot?

In the box and whisker plot:

• The box shows 50% of the data known as the interquartile range
• The left side of the plot shows the first quartile 'Q1'
• The right side of the boxplot indicates the third quartile 'Q3'
• The verticle line inside the box is the median 'Q2'. Sometimes, it is also indicated by the dots or cross
• There are two lines outside the box known as the whisker. It shows the range of the remaining data points that fall outside the middle 50%

## FAQs:

### What are outliers?

Outliers are data points that fall significantly outside the whiskers, typically beyond 1.5 times the IQR from the quartiles.

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

You can enter unlimited numeric values in this box and whisker plot calculator.

### What do the whiskers show?

The whiskers extend from the outside of the box and go from minimum to lower quartile and maximum to upper quartile.

### How many data points for a boxplot?

• Minimum
• Maximum
• First quartile Q1
• Median Q2
• Third quartile Q3

## References:

BBC Bitesize: Box and whisker plot