Both the ‘Range’ and ‘Interquartile Range’ measure the spread of our data set. That is they both tell us how spread out our data set is; so the bigger the value, the more spread out the data is and the smaller the value, the more condensed the data is.
But the Interquartile Range is a more realistic measure of spread than the Range. Let’s look at an example. Suppose we have the below data set. If we plot this set on a number line we get the following
Finding the ‘Range’
Finding the ‘Interquartile Range’ (IQR)
We can see a big difference between the two values but the IQR is the better measure of the spread.
Both the ‘Range’ and ‘Interquartile Range’ measure the spread of our data set. That is they both tell us how spread out our data set is; so the bigger the value, the more spread out the data is and the smaller the value, the more condensed the data is.
But the Interquartile Range is a more realistic measure of spread than the Range. Let’s look at an example. Suppose we have the below data set. If we plot this set on a number line we get the following
We can see a big difference between the two values but the IQR is the better measure of the spread.
Nouri Dib