A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represents the ages of the team, including the coah, and why?

A: Mean, because it is not affected by the age of the coach.

B: Median, because it is not affected by the age of the coach.

C: Mean, because it includes the age of everyone on the team.

D: Mode, because it includes the age of everyone on the team.

To determine which measure of central tendency best represents the ages of the team, including the coach, we need to consider the characteristics of each measure.

A: The mean calculates the average value of a set of numbers. It sums up all the values and divides by the total number of values. In this case, calculating the mean would include the age of everyone on the team, including the coach. The age of the coach would have some impact on the mean value.

B: The median is the middle value when the data is arranged in ascending or descending order. It is not affected by outliers or extreme values. In this case, the median would also include the age of everyone on the team, but it would not be affected by the age of the coach.

C: This option suggests the mean because it accounts for the age of everyone on the team, including the coach.

D: The mode refers to the value(s) that appear most frequently in a dataset. In this case, it would not be the best measure as the ages of the team members and the coach are all unique.

Considering the characteristics of the measures, the best choice would be:

B: Median, because it is not affected by the age of the coach.

Choosing the median allows us to focus on the ages of the players without being influenced by the coach's age.

Do you understand these terms?

http://www.purplemath.com/modules/meanmode.htm

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