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# Five (5) Number Summary Calculator

Use our Five (5) number summary calculator to calculate summary of given numbers.

Table of Contents:

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

- Minimum number
- Maximum number
- First quartile
- Median
- Third quartile

Moreover, the 5 number summary calculator also calculates the inter quartile, ascending order, and descending order for the given input.In this post, we will explain how to calculate 5 number summary with an example.

## How to calculate five number summary?

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**odd**, 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 median.

- Place the values in the parenthesis except median.

- Find the median in the
**lower half**to get the 1^{st}quartile. Similarly, find the median in the**upper half**to get the 3^{rd}quartile. - Write down all the terms you calculated to make a five (5) number summary.

**Example:**

Calculate the 5 number summary in an un-arranged data set given below. *(more examples at allmath)*

**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 value from the data set.

**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 find the quartiles. Find the median in the **lower half** to get the 1^{st} quartile. Similarly, find the median in the **upper half** to get the 3^{rd} quartile.

**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**

**References:**

- What Is the 5 Number Summary in Statistics? by thoughtco.com
- Stapel, E.The Five-Number Summary | Purplemath.