The problem asks whether the interquartile range is less affected by outliers. The possible answers are true or false.
2025/5/4
1. Problem Description
The problem asks whether the interquartile range is less affected by outliers. The possible answers are true or false.
2. Solution Steps
The interquartile range (IQR) is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, . Outliers are extreme values in a dataset. Since the IQR only considers the data between the first and third quartiles, it is less sensitive to extreme values (outliers) than measures like the range or standard deviation, which consider all the data. Therefore, the interquartile range is indeed less affected by outliers.
3. Final Answer
A. True