What percentage of observation lie outside interquartile range of any distribution?
A
121/2%
B
25%
C
50%
D
621/2 %
E
75%
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #23837)