Question

A box plot was made to represent the number of matches won by 14 participants in a tennis tournament. The box plot had the box shifted to the right so that the left tail was much longer than the right tail. Based on the box plot, which conclusion is correct?

(A)The mean and median of matches won are equal.
(B)The mean of matches won is more than the median of matches won.
(C)Most of the participants won many matches, but there were some participants who won very few matches compared to the others.
(D)Most of the participants won very few matches, but there were some participants who won many matches compared to the others.

Answer 1

The box plot had the box shifted to the right so that the left tail was much longer than the right tail. Based on the box plot, the conclusion that is correct is Most of the participants won very few matches, but there were some participants who won many matches compared to the others. The answer is letter D

Answer 2

(C)- Most of the participants won many matches, but there were some participants who won very few matches compared to the others.

Explanation:

The Box plot is shifted to the right this means it is right-skewed data thus left tail is much longer than right tail. Hence, Option (C) is correct.

Option (A) means than neither right tail is longer nor left, the box will remain in middle only. So it is incorrect.

Option (B) is incorrect because Box Plot doesn't give us idea about mean.

Option (D) is also not correct because if this happened then box will shifted to the left