Query about Question 8 from "Data Analysis Fundamentals Quiz #2" [2060]

https://www.gregmat.com/quizzes/quiz/data-analysis-fundamentals-quiz-2-eurt (Question 8)


I am confused on why you can’t determine that the mean is greater than the median based on the fact that the box plot indicates a positive skew

I was confused about this question too for the same reason. The box plot doesn’t actually indicate skew of the set of numbers; the median is just shown where it is on the number line.

Imagine the set is just [20, 24, 24, 27, 32, 32, 36]. This satisfies the box plot, and mean > median.

Imagine the set is [20, 20, 24, 24, 24, 27, 27, 27, 32, 32, 36]. This satisfies the box plot, and mean < median.

Hope this helps.

Yes, thank you!