What is the Quartile Formula?
As mentioned above Quartile divides the data into 4 equal parts. This can be represented visually by the below figure.
- Quartile 1 lies between the starting term and the middle term.
- Quartile 2 lies between the starting terms and the last terms i.e., the Middle term.
- Quartile 3 lies between quartile 2 and the last term.
There is a separate formula for finding each quartile value. And in order to find these quartile values first, sort the given number series data into ascending order.
The steps to obtain the quartile formula are as shown below as follows:
- Step 1: Sort the given data in ascending order.
- Step 2: Find respective quartile values/terms as per need from the below formulae.
- First Quartile = ({n + 1}/{4})th term
- Second Quartile = ({n + 1}/{2})th term
- Third Quartile = ({3(n + 1)}/{4})th term
Where n is the total count of numbers in the given data.
Quartile Formula
Quartiles are the set of values that divide the data points into four identical values using three individual data points. Thus, a quartile is a very important topic in Statistics that helps us to study large amounts of data, they are used to divide the large data values into four equal quarters. These quartiles show the data that is near the middle points of the large data set.
In this article, we will learn about the quartiles as well as the formulas for the first quartile, second quartile, and third quartile and also provide a step-by-step guide to help you easily calculate quartiles. So, let’s start with the definition of quartile first.
Table of Content
- Quartiles Definition
- What is the Quartile Formula?
- Quartiles in Statistics
- Generalized Formula for Quartile
- Quartile vs Percentile
- Solved Problems on Quartile Formula
- Quartile Formula Practice Probems
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