A basketball coach keeps track of the points scored per game for all of her players. She gives a trophy to to the player with the highest mean score at the end of the season. Which of the following justifies why she uses the mean instead of the median?
She wants to take unusually of the good and bad games into account
She wants to remove unusually good and unusually bad games from consideration
The mean and median give the same information, so it doesn't matter which one she chooses.

Given that a basketball coach keeps track of the points scored per game for all of her players. A trophy is given to the player with the highest mean score at the end of the season.

Mean vs median:

Mean is the arithmetic average of all the entries while median is the middle entry after arranging in ascending order.

Median is not affected by extreme items but mean is very much affected by unusually high or low scores.

Here since the trophy is decided to be given to the highest mean score it is obvious that

She wants to take unusually of the good and bad games into account

Because of this only, mean is taken instead of median.