Question

A box plot was made to represent the number of matches won by 14 participants in a tennis tournament. The box plot was symmetric. Based on the box plot, which conclusion is most likely correct?

There are no participants who won exceptionally large or small number of matches.

The mean of matches won by participants is more than the median of matches won by participants.

Most of the participants won many matches, but some participants won very few matches compared to the others.

Most of the participants won very few matches, but some participants won many matches compared to the others.

Answer 1

Answer - A

Given that the box plot that was made was symmetric, it means that the data is not skewed to neither right nor left; this further implies that there is none of the 14 participants in the tennis tournament who won exceptionally large or small number of matches.

Answer 2

If we have drawn a box plot to represent number of matches won by 14 participants in a tennis tournament, and got that the box plot was symmetric . It means

1 . There are equal number of values that is points obtained by 14 participants , on both side of a line drawn from the middle of the curve , there are equal number of points.

Symmetric means, → Median = Mean

→The point graph representing number of points obtained by 14 players is divided into two congruent parts or curves have equal areas.

So, we can conclude that

Option (A):There are no participants who won an exceptionally large or small number of matches compared to other participants.