Question

The data show the number of free throws attempted by a team in its first ten games.2, 11, 11, 11, 12, 12, 13, 14, 14, 15The median is 12 attempts and the mean is 11.5 attempts. After reviewing the data, it isdetermined that 2 should not be included, since that was an exhibition game rather than aregular game during the season.What happens to the median if 2 is removed from the data set?O The median remains 12 attemptsThe median changes to 11The median changes to 13There will no longer be median

Answer 1

The median remains 12 attempts

Step-by-step explanation:

The number of free throws attempted by a team in its first ten games is given below.

2, 11, 11, 11, 12, 12, 13, 14, 14, 15

The median of a set of data is the term in the middle.

If there are two terms in the middle as in this case, we find the average.

Since 2 has been excluded, the data set now belomes:

`11,11,11,12,\boxed{12},13,14,14,15`

We can see that the middle term is still 12, therefore The median remains 12 attempts.