Lower Quartile Calculator
'Cuemath's Lower Quartile Calculator' is an online tool that helps to calculate the lower quartile.
What is Lower Quartile Calculator?
Cuemath's online Lower Quartile calculator helps you to calculate the Lower Quartile within a few seconds.
How to Use the Lower Quartile Calculator?
Please follow the below steps to find the lower quartile:
 Step 1: Enter the data set separated by a comma in the given input box.
 Step 2: Click on the "Calculate" button to find the lower quartile.
 Step 3: Click on the "Reset" button to find the lower quartile for different data.
How to Find the Lower Quartile?
Quartile means a quantile that divides a ranked data into four equal parts. The Quartile which divides a given data set into four equal parts is known as the First quartile Q1, second quartile Q2, and Third quartile Q3 respectively. The first quartile is also known as the lower quartile.
 Q1 is the midvalue of the first half.
 Q2 is the Median
 Q3 is the midvalue of the second half or last half.
The first quartile (or lower quartile) is the median or midvale of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
Note: 1) If the given data set has even numbers, Find the median from the bottom half
2) If the given data set has odd numbers, Find the median or average from the bottom half

Solved Example 1:
Find the lower quartile from the given data set { 8, 6, 9, 2, 4, 5 }
Solution:
Arrange this data set in increasing order i.e., {2, 4, 5, 6, 8, 9}
So, the bottom half is { 2, 4, 5 }
The median of these numbers { 2, 4, 5 } is 4.
Therefore, the lower quartile of the data set is 4.

Solved Example 2:
Find the lower quartile from the given data set { 8, 6, 9, 2, 5 }
Solution:
Arrange this data set in increasing order i.e., {2, 5, 6, 8, 9}
So, the bottom half is { 2,5 }
The median of these numbers { 2, 5 } is 3.5
Therefore, the lower quartile of the data set is 3.5
Similarly, you can try the calculator to find the lower quartile for the given data sets
1) {7, 11, 5, 4, 3} 2) {8, 2, 10, 7, 4, 6}