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What is Interquartile Range ?

Question

What is Interquartile Range ?

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Solution

The Interquartile Range (IQR) is a statistical measure used to represent the middle spread of values in a data set. Here's how you calculate it:

  1. Arrange the data in increasing order.

  2. Calculate the first quartile (Q1), which is the middle number between the smallest number and the median of the data set.

  3. Calculate the third quartile (Q3), which is the middle value between the median and the highest value of the data set.

  4. Subtract Q1 from Q3. The result is the Interquartile Range (IQR).

IQR = Q3 - Q1

The IQR can be used to identify outliers in the data. Any value that falls below Q1 - 1.5IQR or above Q3 + 1.5IQR could be considered an outlier.

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