Question

what is the interquartile range (iqr) used to measure?
a. the middle fifty percent of a dataset
b. the average of the dataset
c. the most frequent data point
d. total spread of the dataset

Explanation:

The Interquartile Range (IQR) is calculated as \(Q_{3}-Q_{1}\), where \(Q_{1}\) is the first quartile (25th percentile) and \(Q_{3}\) is the third quartile (75th percentile). The difference \(Q_{3}-Q_{1}\) represents the range of the middle 50% of the data.

• Option b: The average of a dataset is measured by mean, median, or mode, not IQR.
• Option c: The most frequent data point is the mode.
• Option d: The total spread of a dataset is measured by the range (\(max - min\)).

Answer:

A. The middle fifty percent of a dataset