5 Number Summary Calculator online

A 5 number summary calculator is useful in finding the statistical results of a given dataset .  you will calculate the values of a given dataset.

Five Number Summary Calculator

Five Number Summary Calculator

Enter numbers separated by commas:

How do I calculate the 5 number Summary?

You can calculate the 5 number summary by breaking the data set into four equal parts with each representing 25% of the total data set. Here is a step-by-step process.

  1. Arrange the Data: Organize the dataset in ascending order.
  2. Find the minimum and MAXIMUM values: These are the smallest and largest values in the dataset.
  3. Calculate the Median (Q2): The median value is the middle value or number. You can get this when the total values are odd, it’s the middle number. when the dataset is even, is the average of the two middle values.
  4. Determine the first quartile (Q1) This is result of the lower half of a given dataset (excluding the overall median if the number of observation is odd.
  5. Determine the third quartile (Q3): This is the median of the upper half of data  (also excluding the overall median if the number of observation is odd).

Five number summary Examples

Let’s use two examples to explain what we mean by 5 number summaries in statistics.

Example 1: finding the 5 number summary in a Simple Dataset

If we are given the following dataset:

[3,7,8,5,12,14,13,21,18,]

  1. Lets arrange : (3,5,7,8,12,13,14,18,21)
  2. Minimum: (3)
  3. Maximum: (21)
  4. Median (Q2) (12) (middle value)
  5. First Quartile (Q1) (7) the median of (3,5,7,8)
  6. Third Quartile : : (14) the Median of (13,14,18,21)

The five number summary for this dataset is:

[ 3, 7, 12, 14, 21 ]

Example 2-  larger Dataset

This is the biggest dataset:

[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]

  1. Arrange the Data: Arrange them in ascending order
  2. Minimum – (1)
  3. Maximum: (15)
  4. Median (Q2): (8 ) middle value
  5. First quartile (Q1) (4) (median of (1,2,3,4,5,6,7,))
  6. Third quartile (Q3) (12)  (median of (9,10,11,12,13,14,15))

Here is the dataset for the 5 number summary

[1,4,8,12,15]

You can see the concise preview of the data distribution that the 5 number summary gives us.

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