Math
Quartile Formula – First Quartile, Third Quartile & Lower Quartile Formula
Table of Contents
Quartile Formula
Quartiles are given as values dividing the complete list into quarters. It will put the complete list of numbers in an order. It will cut the list into four equal parts. The other name for quartile is basically cuts. Further, they could be given as the upper quartile or the lower quartile.
The upper quartile is defined as the median of the upper half of a dataset. It is located by diving the data set with median and diving the upper half that could be considered as the median again. The median of upper half would be upper quartile and it can be given by formula as mentioned below –
first Quartile Formula
\[\large Q_{1}=\left(\frac{n+1}{4}\right)^{th}Term\]
second quartile Formula
\[\large Q_{2}=\left(\frac{n+1}{2}\right)^{th}Term\]
third Quartile Formula
\[\large Q_{3}=\left(\frac{3(n+1)}{4}\right)^{th}Term\]
Lower Quartile Formula
\[\large IQR=Upper\;QuartileLower\;Quartile\]
To make the things easy to understand, here we are giving upper quartile as Q3 or we can call it as upper quartile too. However, the value will not be for third quarter bit term number would be Q3. Here, N is representing the total number of elements within a dataset. Take an example, if there are total 9 elements in a dataset then the value of n would be nine in that case.
Hence, you just put the values into Quartile formula as find the final output as needed. In a few cases, when the final output is not a whole number then subtract .25 from the same and follow the earlier process as given.The quartile formula can be used for many realworld examples. For example, if you wanted to know how good a tutor is then we could apply quartile formula there.

Math2 years ago
Surface Area of a Triangular Prism Formula & Volume of a Triangular

Math4 months ago
Average Rate Of Change Formula Made Simple

Math1 year ago
Triangular Pyramid Formula  Volume & Surface Area of a Triangular Pyramid

Math2 years ago
Percentage Formulas  How to Calculate Percentages of a Number?

Math4 months ago
Math Formulas Made Simple: A StepbyStep Guide

Math2 years ago
List of Pyramid Formula – Surface Area, Volume of Pyramid

Math2 years ago
What is Integration? List of Integration by Parts Formulas

Math4 months ago
Algebra Formulas and Expression with Example