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 siblings age affect the mean? a. the new mean age will still be 14.2 years. b. the new mean age will be greater than 14.2 years. c. the new mean age will be 10.6 years. d. the new mean age will be less than 14.2 years.

Explanation:

Step1: Understand mean concept

The mean is the sum of all values divided by the number of values. A value less than the original mean will pull the mean down.

Step2: Analyze the situation

The original mean age is 14.2 years and a 7 - year - old (which is less than 14.2) is added. So the new mean will be less than 14.2 years.

Answer:

D. The new mean age will be less than 14.2 years.