The interquartile range always
A) is one-fourth of the range
B) becomes larger if more observations are added
C) contains 50 percent of the frequencies
D) all of the other alternatives are correct.

Question

Quizplus · Accepted Answer

The interquartile range (IQR) is the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of a dataset, effectively spanning the middle 50% of the data. This means it contains 50 percent of the frequencies, regardless of the dataset's size or distribution. It does not necessarily equate to one-fourth of the range (A is incorrect), nor does it automatically become larger with more observations (B is incorrect).

The Interquartile Range Always