Question

darius and barb are playing a video game in which the higher score wins the game. their scores are shown below. barbs scores: 92, 98, 96, 94, 110. dariuss scores: 96, 54, 120, 87, 123. barb says that she is the winner. darius says that it is a tie. who is correct? o barb is correct if both the mean and median scores are considered. o barb is correct if only the median score is considered. o darius is correct if both the mean and median scores are considered. o darius is correct if only the median score is considered.

Explanation:

Step1: Calculate Barb's mean score

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

Step2: Arrange Barb's scores in ascending - order

$92,94,96,98,110$. Median is 96.

Step3: Calculate Darius's mean score

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

Step4: Arrange Darius's scores in ascending - order

$54,87,96,120,123$. Median is 96.

Step5: Compare mean and median

Barb's mean is 98 and median is 96. Darius's mean is 96 and median is 96. Since both mean and median of Darius's scores are equal to the median of Barb's scores and less than Barb's mean, Barb is correct if both the mean and median scores are considered.

Answer:

Barb is correct if both the mean and median scores are considered.