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.

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

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.

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:

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:

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).