Which of the following statements is true about the interquartile range?
A)It shows the middle quarter of values in a rank ordered distribution.
B)It shows the range of values falling between the 50th and 75th percentiles.
C)It has virtually no relevance to practitioners.
D)It shows the range of values falling between the 25th and 75th percentiles.

Question

Quizplus · Accepted Answer

The interquartile range (IQR) shows the range of values falling between the 25th and 75th percentiles, meaning it represents the middle 50% of the data distribution. It is a useful measure of spread as it is less affected by extreme values/outliers compared to the range. Therefore, option D is the correct answer. Options A and B are partially correct but miss important details regarding which specific percentiles the IQR represents. Option C is incorrect as the IQR is relevant to practitioners in fields such as statistics, finance, and data analysis.

Which of the Following Statements Is True About the Interquartile