A recent study involving a sample of 3,000 vehicles in California showed the following statistics related to the number of miles driven per day: Q1 = 12 Q2 = 45 and Q3 = 56.Based on these data,if a box and whisker plot is developed,the right-hand whisker value is 122 miles.

Question

Quizplus · Accepted Answer

The right-hand whisker in a box and whisker plot extends to the maximum value in the dataset that is not an outlier. Since there is no information given about outliers in the dataset, we can assume that the maximum value is 1.5 times the interquartile range (IQR) above Q3. Therefore, the maximum value is 56 + 1.5(56-12) = 112 miles. However, it is also possible that the dataset has extreme values that are considered outliers, which would affect the maximum value and the length of the whisker. Therefore, we cannot conclude with certainty that the right-hand whisker value is 122 miles based on the given information.

A Recent Study Involving a Sample of 3,000 Vehicles in California