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Five number summary calculator is an online tool that calculates a summary of given numbers which includes:

Minimum number: It is the shortest number in a group of numbers.

Maximum number: It is the greatest number in a group of numbers.

First quartile: It is the median of lower half of the data set. 1st quartile is also known as 25th percentile and denoted by Q1. It indicates that the 25 percent data lies below Q1 and 75% data lies above Q1.

Median: It is a middle number that lies in the middle of an ascending or descending group of data.

Third quartile: It is the median of the upper half of the data set. 3rd quartile is also known as 75th percentile and denoted by Q3. It indicates that the 75 percent of the data lies below Q3.

Moreover, it also calculates the inter quartile, ascending order, and descending order of the given input. In this post, we will see how to calculate five number summary, how can you use our calculator to get 5 number summary and much more.

How to use 5 number summary calculator?

Don’t get confused with the name of this tool. It is a very simple an intuitive tool that lets our user calculate a comprehensive summary for a list of numbers. This summary can be used to simplify our data for further statistical purposes. To use this calculator, follow the below steps:

  • Enter the list of numbers in the given input box.
  • Separate each number using a comma.
  • Press the Calculate button to get the summary of numbers.
  • Use the Reset button to enter new values for next calculation.

As soon as you hit the button, it will show you the 5 number summary instantly. You can see the results below your input.

It will be not wrong if we call it an 8 number summary calculator because apart from those five terms listed above, it also calculates the descending order, ascending order, and inter quartile for the given list of numbers.

How to calculate five number summary?

Now that you know how to use above calculator, let’s keep going to understand how you can calculate five number summary on your own. There is no doubt that the above tool is much efficient and reliable tool to get this done, but as a student, you must be able you do it yourself.

Here are the steps to compute five number summary:

  • Write down the list of numbers.
  • Arrange the numbers in ascending order.
  • Write down the maximum and minimum values from this list of numbers.
  • Find out the median from this list. If the group of data is in odd quantity, median will be the middle number. If the data consists of even set of numbers, then take the two middle values and divide them by two to get the media.

Medians

  • Place the values in the parenthesis except median. Refer to the below image.

Five Number summary calculator

  • Now it’s time to get the Find the median in the lower half to get the 1st quartile. Similarly, find the median in the upper half to get the 3rd quartile.
  • Write down all the terms you calculated to make a 5 number summary.

Example:

Let’s calculate the 5 number summary in an un-arranged data set which is:

4, 1, 9, 2, 6, 3, 7, 11, 5

Solution:

Step 1: Write down the list of numbers.

4, 1, 9, 2, 6, 3, 7, 11, 5

Step 2: Arrange the numbers in ascending order.

1, 2, 3, 4, 5, 6, 7, 9, 11

Step 3: Write down the maximum and minimum values from this list of numbers.

Maximum number = 11

Minimum number = 1

Step 4: Find out the median from this list. The set of data we are working on consists of odd set of numbers. So, we will only pick the middle values form our arranged list of numbers.

Median = 5

Step 5: Place the values in the parenthesis except median.

(1, 2, 3, 4), 5, (6, 7, 9, 11)

Step 6: Now it’s time to get the quartiles. Find the median in the lower half to get the 1st quartile. Similarly, find the median in the upper half to get the 3rd quartile. You can also use our quartile calculator for this purpose.

Q1 = (2 + 3)/2 = 2.5

Q3 = (7 + 9)/2 = 8

Step 7: Write down all the terms you calculated to make a 5 number summary.

Minimum = 1

Maximum = 11

Median = 5

Q1 = 2.5

Q3 = 8