The inter-quartile range of the given data set is 13
The interquartile range (IQR) measures the spread of the middle half of your data. It is the range for the middle 50% of your sample. Use the IQR to assess the variability where most of your values lie. Larger values indicate that the central portion of your data spread out further.
Given data is : 3, 16, 18, 25, 26, 29, 31, 50
The median of the given data is 25.5
Now, we have to find the median for data 3,16,18 and 25 which is 17.
Lastly we have to find the median for the data 26, 29, 31, and 50 which is 30.
Hence, the inter quartile range is
= Q3 -Q1
= 30-17
=13
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