How to Find the Interquartile Range?
we will see how to Calculate the Interquartile Range using an example:
Example: Consider the following dataset of exam scores for a class tenth:
77, 85, 92, 64, 78, 95, 82
Find the Interquartile Range of the above data
Solution:
Now to calculate the Interquartile Range steps involved are:
- First, we need to arrange in ascending order
- Count the given values i.e is 7 ,so count is odd,then median is middle value =82
- Next Divide into two halfs ,Lower half and Upper half
- Next identify median value in lower half as Q1 and upper half as Q3
Now,Q1 = 77 and Q3 = 92
⇒ IQR = Q3 – Q1= 92-77 = 15
Interquartile Range in Statistics
Interquartile Range is a fundamental statistical concept that helps us understand the measure of data spread and variability of data within the given dataset. Interquartile Range is also represented as IQR. The Interquartile Range is quite different from calculating the Range. It is different from Range and it is not affected by outliers.
Interquartile Range provides the required valuable information about variability within the middle 50% of the data, which is very useful for descriptive statistics and identifying data issues easily.
Interquartile Range is quite different from the range, because it focuses on the middle 50% of the data, whereas the Range considers all the given data points in the provided data.
Table of Content
- What does a Quartile mean?
- What is Interquartile Range?
- Interquartile Range Formula
- How to Find the Interquartile Range?
- What is Semi Interquartile Range?