Darius and barb are playing a video game in which the higher score wins the game. their scores are shown below.

darius’s scores: 96, 54, 120, 87, 123

barb’s scores: 92, 98, 96, 94, 110

barb says that she is the winner. darius says that it is a tie. who is correct?
barb is correct if both the mean and median scores are considered.
barb is correct if only the median score is considered.
darius is correct if both the mean and median scores are considered.
darius is correct if only the median score is considered.

Darius is correct if only the median score is considered.

Step-by-step explanation:

Let arrange the scores in ascending order such that

Darius’s scores: 54,87,96,120,123

Barb’s scores: 92,94,96,98,110

Here, median value of both Darius and Barb is 96 (the mid value).

Thus, if only the median score is considered, then there is a tie.

hence Darius is correct.

Mean score of Darius=

Mean score of Barb=

If only mean score is considered then Barb is the winner.

But it is not the option.

Hence the right option is " Darius is correct if only the median score is considered".