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Quartile Calculator

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Quartile are the three points which divides a set of data into four equal parts. First Quartile ($Q_1$) is the middle value between the median of the data and smallest number. Median is the Second Quartile ($Q_2$) of the data set. Third Quartile ($Q_3$) is the middle value between median and highest number of the data set.

This online Quartile calculator will help finding the first, second and third quartile of a set of data.
 

Steps 

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Step 1: Arrange the given set of data in ascending order.

Step 2: Divide the data set into two using the middle number.

Step 3: As explained median is the $Q_2$ value. $Q_1$ is the median of the lower part of the data set. $Q_3$ is the median of the upper part of the data set.

Problems

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Given below are some of the problems based on quartile.

Solved Examples

Question 1: Calculate first quartile, second quartile and third quartile of the following sequence
4, 17, 14, 7, 18, 12, 3, 10, 16, 4, 4, 11
Solution:
 
Step 1: Given : 4, 17, 7, 14, 18, 12, 3, 16, 10, 4, 4, 11
Putting the data in order,
3, 4, 4, 4, 7, 10, 11, 12, 14, 16, 17, 18

Step 2: Quartile Problem

Step 3: Second quartile ($Q_2$) = $\frac{10+11}{2}$ = 10.5

First quartile ($Q_1$) = $\frac{4+4}{2}$ = 4

Third quartile ($Q_3$) = $\frac{14+16}{2}$  = 15

Therefore, the quartiles are (4, 10.5, 15).

 

Question 2: Calculate first quartile, second quartile and third quartile of the following sequence
3, 3, 1, 4, 5, 6, 6, 8, 8, 7

Solution:
 
Step 1: Given : 3, 3, 1, 4, 5, 6, 6, 8, 8, 7
Putting the data in order,
1, 3, 3, 4, 5, 6, 6, 7, 8, 8

Step 2: Quartile Example

Step 3: Second quartile ($Q_2$) = $\frac{5+6}{2}$  = 5.5

First quartile ($Q_1$) = $\frac{3+3}{2}$ = 3

Third quartile ($Q_3$) = $\frac{7+8}{2}$  = 7.5

Therefore, the quartiles are (3, 5.5, 7.5).