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

Mathematics

WAEC 1996

A. 12¹/₂%
B. 25%
C. 50%
D. 62¹/₂ %
E. 75%

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Correct Answer: Option C

Explanation

Q1 represents the value below which 25% of the data falls, while Q3 indicates the value below which 75% of the data falls (or above which 25% falls). Consequently, the percentage of data outside the interval [Q1, Q3] is 50%, composed of 25% on each side.

This principle applies to any distribution, as quartiles are determined by order statistics and cumulative probabilities, independent of the distribution's shape

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