Question

The mean age of a dance troupe is 14.2 years. A 7-year-old sibling is invited to join the troupe. How does the sibling’s age affect the mean?
A. The new mean age will be 10.6 years.
B. The new mean age will be greater than 14.2 years.
C. The new mean age will be less than 14.2 years.
D. The new mean age will still be 14.2 years.

Answer 1

The correct answer is c.  There is no possible way to know how much the mean age decreases, but we know it definitely will (averages decrease as values less than the average are added to the data.) <span />

Answer 2

The new mean age will be less than 14.2.