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Box Plot Calculator


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The box plot is a graphical way of representing the numerical data. It is a way to systematically show the data distribution. We can find the minimum, lower quartile, Median, Upper Quartile and Maximum value of our statistical data.

The box plot calculator is a standardized way of displaying the distribution of data. 

What is a box plot?

The plot box is a simple way of finding the ascending order, descending order, maximum and minimum numbers.

A box plot is perhaps the easiest method for visualizing a dataset without listing the individual values. The box plots are also known as the Whisker diagram.

Box plot Chart:

“The box plot is a type of chart that describes a group of numerical data”.

It is one of the easiest ways to visualize the meaning of the range of dataset. We can understand our data by the simple graphical representation. By the help of the box and whisker plot maker, we can understand the dataset and can evaluate the following concept.

  • We can understand the components of statistical data.
  • What are the mean, median, and the quartile of our dataset.

For the creation of a box and whisker plot, we can use the box plot maker. 

We do require the following information about the statistical data.

Minimum value:

We can extract the minimum value in the dataset by the box whisker plot maker.This also describes the lower limit of our statistical data.

Maximum value:

The maximum value of the dataset and the upper limit of the dataset.The upper limit of the dataset can be measured by the box and whisker calculator by simply inserting all the dataset values.

Range of the data:

The maximum and the minimum values difference would enable us to find the Range of our dataset. The box plot generator makes it possible for us to find the graphical demonstration  of our statistical data, which can be used in presentations of the data.The dot plot calculator is a simple way to find the whole set of data representation.


Median of First Quartile:

Identify the first quartile and the median values of the first quartile.The box plot generator identifies the median value of each of the quartiles automatically.

Median of Third Quartile:

Spot out the third quartile and the median value of the third quartile of the dataset and draw a line on the median values of the third quartile.The box plot calculator can be used to find the median of the first and the third quartile.

How to make a box plot?

There are following steps, we need to follow the box plot.


The first step to create a box plot is to arrange the values in the dataset from the least to greatest or in the ascending order.

Consider the following dataset, and we have arranged the values from the least to greatest:


Step 2:

Identify the upper and the lower extremes or the limits of the dataset.

The lower extreme: The lower extreme or the smallest value in “5” in this example

The upper extreme: The upper extreme value is 32 in our dataset.

Step 3:

Identify the median, or the middle of dataset, In our example the median values is “17”

Step 4:

Identify the median of lower and upper quartiles of the dataset. For finding the lower and upper quartile start splitting the dataset from the median into the lower and the upper regions.

In our dataset the median of the upper quartile is 20 and the maiden of lower quartile is 10.

Step 5:

Create a box and whisker plot:


Ascending Order: 5 , 10 , 16 , 17 , 18 , 20 , 32 ,
Descending Order: 32 , 20 , 18 , 17 , 16 , 10 , 5 ,
Maximum Number: 32
Minimum Number: 5
Third Quartile: 20.0
First Quartile: 10.0
Median: 18

Box plot is a simple way of representing the statistical data and it is a graphical portrayal of the given set of the data.It is a special type of graph that represents such as  Q1, Q2, and Q3. It means the data can be divided into three quartiles.The lines extending from the box display minimum and the maximum values of a given set of data. It provides us additional information that deals with the multiple sets of data. Box and whisker plot maker is a simple way to analyze the data and to compare it.

Graphical representation of the box plot:

The graphical representation of the box plot by the box plot calculator.
Graphical representation of the box plot

The first step in constructing a box and whisker plot is to find the median, the lower quartile(Q1) then the upper quartile (Q2) of a given set of data.Then you need to find the interquartile range or the (IQR). The (IQR) is the difference between the lower and the upper quartile. The box and whisker plot calculator can be used to find the IQR and the upper and the lower quartile.

Working of box plot calculator:

The box and whisker plot calculator require the following input values:


  • Enter  the range of dataset
  • Press the calculate button to find box plot


The box plot calculator displays the following result.

  • The minimum,maximum, median of lower and upper quartile
  • The graphical presentation of the box plot 


What is a box and whisker plot maker?

The box and whisker plot maker will generate a list of key measures and create a box plot chart to show the distribution of the data. For making the data representation more easy for us, it is best to copy and paste whole data into the box plot

What is the basic purpose of box plots?

The main purpose of the box plot will make it easy to figure out the whole dataset. The dot plot calculator generates a chart or a box, which includes reliable information about the range of data.

What is the information we can extract from the box and whisker plot?

We can extract a lot from the plot box, the information gathered by the box plot generator helps to understand the data set. We can clearly distinguish what is the maximum, minimum values of our dataset. The upper and lower quartile and the interquartile range(IQR) and also the median value.The boxplot calculator makes it easy for us to draw the box plot and to extract all the critical information about our statistical data.

What is a quartile in a box plot?

The left edge of the box represents the lower quartile,the first 25 % of the data falls up to. The right edge of the box shows the upper quartile, it resides 25 % of the data lies to the right of the upper quartile value.The quartile do carry all the dataset values except the mean values. The box plot creator does help us to find the quartile values.

How do you find Q1 and Q3?

Q1 is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. (3, 5, 7, 8, 9), | (11, 15, 16, 20, 21). Q1 = 7 and Q3 = 16.The box plot calculator is readily able to find the Q1 and Q3 for any range of given dataset.

How to create the boxplot easily?

Identify the median and draw a symbol on the median value.Then find the interquartile range, which is the difference between the lower and the upper quartile.Mark the three points and then find the mean values of each of the quartiles, and draw the plot box. The box and whisker plot calculator doing all the steps, you only need to insert the whole range of the data.  


The box plot calculator provides us with critical information about the dataset  and creates a box or plot chart to show the data distribution.The graphical representation also describes what is the maximum and minimum range of our data and we can simply analyze the whole statistical data.


From the source of Wikipedia: Box plot, Elements of box plot

From the source of is box plot,When you should use a plot box