Question

The median is 12 attempts and the mean is 11.5 attempts. After reviewing the data, It is

determined that 2 should not be included, since that was an exhibition game rather
than a regular game during the season.
a. What happens to the median If 2 attempts is removed from the data set?
b. What happens to the mean if 2 attempts is removed from the data set?

Answer 1

a. The median remains 12 attempts. b. The mean will be lower than 11.5 attempts.

Step-by-step explanation:

a. The median represents the middle value in a data set when the values are arranged in numerical order. Removing 2 attempts from the data set will not change the position of the middle value, so the median will remain the same at 12 attempts.

b. The mean represents the average of a data set and is calculated by summing all the values and dividing by the total number of values. Removing 2 attempts will decrease the sum and also the total number of values, resulting in a lower mean than 11.5 attempts.