5 Number Summary Calculator

The 5 number summary calculator is used to calculate the five-number summary, which consists of five different calculations. In addition to the basic five calculations, it also gives IQR, graph, and descending order.

What is a Five-number summary?

This summary includes 5 calculations that give information about the range, location, and spread of the data. These calculations include:

• Minimum number
• The first quartile Q1
• Median
• The second quartile Q2, and
• Maximum number

However, if you want to calculate quartiles, you can use our quartile calculator anytime.

What are the steps to find 5 number summary?

As we have described earlier, this summary consists of a total of five values, which are minimum and maximum numbers, median, and first and third quartile. Follow these steps to calculate the five-number summary.

1. Arrange your data in ascending order (from lower to higher).
2. Get the minimum and maximum values from the arranged values.
3. Find the median from these values. Median can be found by locating the middle value in an arranged set of data. If there are two middle numbers, add them and divide them with 2 to get the median.
   
4. Wrap the parenthesis around the values which are on the left and right side of the median. See the below image.
   
5. Find the first and third quartiles. 1^st quartile can be found as the median in the lower quartile, and 3^rd quartile can be found as the median in the upper quartile.
6. Write down all values together to get a summary.

Example:

Let’s calculate 5 number summary using an example to understand the process properly.

Calculate the five number summary in data set 5, 2, 19, 6, 7, 1, 18, 9, 12, 15, 27.

Solution:

Step 1: Arrange the data set in ascending order.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27

Step 2: Get the minimum and maximum values in the data set.

Minimum value = 1

Maximum value = 27

Step 3: Find the median from these values. 

Median = 9

Step 4: Wrap the parenthesis around the values which are on the left and right sides of the median.

(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27)

Step 5: Find the first and third quartiles. 1^st quartile can be found as the median in the lower quartile, and 3^rd quartile can be found as the median in the upper quartile.

Q1 = 5

Q2 = 18

Step 6: Write down all values together to get a summary.

1. Minimum = 1
2. Q1 = 5
3. Median = 9
4. Q3 = 18
5. Maximum = 27