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

darius and barb are playing a video game in which the higher score wins the game. their scores are shown below. dariuss scores: 96, 54, 120, 87, 123 barbs 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 and barb are playing a video game in which the higher score wins the game. their scores are shown below. dariuss scores: 96, 54, 120, 87, 123 barbs 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

Explanation:

Step1: Calculate Darius's mean score

$\text{Mean}=\frac{96 + 54+120+87+123}{5}=\frac{480}{5}=96$

Step2: Arrange Darius's scores in ascending - order: 54, 87, 96, 120, 123. Median is 96.

Step3: Calculate Barb's mean score

$\text{Mean}=\frac{92 + 98+96+94+110}{5}=\frac{490}{5}=98$

Step4: Arrange Barb's scores in ascending - order: 92, 94, 96, 98, 110. Median is 96.

Answer:

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