How to Find the IQR

Know how the IQR is used., Understand quartiles., Learn the formula.

3 Steps 1 min read Easy

Step-by-Step Guide

  1. Step 1: Know how the IQR is used.

    Essentially, it is a way of understanding the spread or "dispersion" of a set of numbers.The interquartile range is defined as the difference between the upper quartile (the highest 25%) and the lower quartile (the lowest 25%) of a data set.

    The lower quartile is usually written as Q1, and the upper quartile is Q3 – which would technically make the halfway point of the data set Q2, and the highest point Q4., To visualize a quartile, chop a list of numbers into four equal parts.

    Each of these parts is a "quartile."Consider the set: 1, 2, 3, 4, 5, 6, 7,
    8. 1 and 2 are the first quartile, or Q1 3 and 4 are the second quartile, or Q2 5 and 6 are the third quartile, or Q3 7 and 8 are the fourth quartile, or Q4 , In order to find the difference between the upper and lower quartile, you'll need to subtract the 75th percentile from the 25th percentile.

    The formula is written as:
    Q3 – Q1 = IQR.
  2. Step 2: Understand quartiles.

  3. Step 3: Learn the formula.

Detailed Guide

Essentially, it is a way of understanding the spread or "dispersion" of a set of numbers.The interquartile range is defined as the difference between the upper quartile (the highest 25%) and the lower quartile (the lowest 25%) of a data set.

The lower quartile is usually written as Q1, and the upper quartile is Q3 – which would technically make the halfway point of the data set Q2, and the highest point Q4., To visualize a quartile, chop a list of numbers into four equal parts.

Each of these parts is a "quartile."Consider the set: 1, 2, 3, 4, 5, 6, 7,
8. 1 and 2 are the first quartile, or Q1 3 and 4 are the second quartile, or Q2 5 and 6 are the third quartile, or Q3 7 and 8 are the fourth quartile, or Q4 , In order to find the difference between the upper and lower quartile, you'll need to subtract the 75th percentile from the 25th percentile.

The formula is written as:
Q3 – Q1 = IQR.

About the Author

J

Joan Johnson

Joan Johnson has dedicated 13 years to mastering lifestyle and practical guides. As a content creator, Joan focuses on providing actionable tips and step-by-step guides.

102 articles
View all articles

Rate This Guide

--
Loading...
5
0
4
0
3
0
2
0
1
0

How helpful was this guide? Click to rate: