Question

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.

Answer 1

The correct answer option is: Darius is correct if only the median score is considered.

Explanation:

If we rearrange the scores in ascending orders, we get:

Darius’s scores: 54, 87, 96, 120, 123

Barb’s scores: 92, 94, 96, 98, 110

So the median (middle value) of both Darius and Barb is 96.

Therefore, if only the median score is considered then there is a tie and according to this, Darius is correct.

So the correct answer option is: Darius is correct if only the median score is considered.

Answer 2

Darius is correct if only the median score is considered.

Explanation:

Darius scores are; 96, 54,120, 87, 123

arrange the scores in increasing order;

54,87,96,120,123

mean = (54+87+96+120+123)/5 =480/5 =96

median =96

Barb's scores are 92,94,96,98,110

mean=(92,94,96,98,110)/5 =490/5=98

median score=96

⇒if the median score only is considered; then it is a tie because the score is 96 in both players.