Question

In a​ boxplot, the whiskers extend to which of the​ following?

Choose the correct answer below.

A. The smallest and largest values in the data set

B. To the most extreme values that are not potential outliers

C. To the first and third quartiles

D. None of these

Answer 1

In a boxplot, the whiskers extend to the most extreme values that are not potential outliers, not including any outliers that may be present, which are marked separately.

Step-by-step explanation:

In a boxplot, the whiskers extend to the most extreme values that are not potential outliers. Thus, the correct answer to the question is B. To the most extreme values that are not potential outliers. It's important to note that if outliers are present, they are typically indicated as individual points on the plot, and the whiskers do not extend to include these outlier values.

Specifically, a boxplot is constructed using five key values: the minimum, first quartile, median, third quartile, and maximum of the dataset. The box itself contains the middle 50 percent of the data, ranging from the first quartile to the third quartile. The median is indicated within the box. The whiskers then extend from the ends of the box to the smallest and largest data values that are not outliers, offering a visual representation of the data spread and any potential skewness.