Question

The mean of a curriculum committee is 34.8 years. A 15-year-old student representative is added to the committee. How does the student’s age affect the mean?

A.) The new mean age will be less than 34.8

B.) The new mean age will be greater than 34.8

C.) The new mean age will still be 34.8

D.) The new mean age will be 24.9

Answer 1

The correct option is A. The new mean age will be less than 34.8

Explanation:

The mean of a curriculum committee is 34.8 years

Now, A 15-year-old student representative is added to the committee

Number of students in the curriculum committee is not known so if a student of 15 year age is added into the society we cannot find the exact new mean of the curriculum committee.

But, As the 15 is added to the sum of all observations but only 1 is added to the number of observations

So, The mean of the curriculum committee will obviously decrease

Since, Th mean of the curriculum committee is 34.8

Therefore, the new mean of the curriculum committee will be less than 34.8

Hence, The correct option is A. The new mean age will be less than 34.8

Answer 2

Since we don't know how many people are on the committee, we can only say ...
A.) The new mean age will be less than 34.8

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Any new members whose age is less than the mean will reduce the mean. Any new members whose age is greater than the mean will increase the mean.