What percentage of observation lie outside interquartile range of any distribution?

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

Question 1 Report

What percentage of observation lie outside interquartile range of any distribution?
Answer Details
The interquartile range (IQR) is the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a distribution. Half of the observations lie within this range, which means that the other half lie outside of it. Therefore, the percentage of observations that lie outside the IQR is 100% - 50% = 50%. So, the answer is 50%.
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