Questions: The length of the box in a boxplot is proportional to which of the following? Choose the correct answer below. Standard deviation Mean IQR Median

The answer is the third one (IQR): Interquartile Range.

Explanation for each option:

1. Standard deviation: This measures the amount of variation or dispersion in a set of values. It is not directly represented by the length of the box in a boxplot.
2. Mean: This is the average of a set of values. The mean is not represented by the length of the box in a boxplot.
3. IQR (Interquartile Range): This is the range between the first quartile (Q1) and the third quartile (Q3) and represents the middle 50% of the data. The length of the box in a boxplot is proportional to the IQR.
4. Median: This is the middle value of a data set when it is ordered. The median is represented by a line inside the box in a boxplot, not by the length of the box.

Summary: The length of the box in a boxplot is proportional to the Interquartile Range (IQR).