Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?
Answers
A) 10
B) 12
C) 16
D) 22
E) 24
The average of the numbers in set S is 10.   If we increase the mean by 10%, the new mean is 11.   Thus, on average, 5 numbers increase by 1.   Therefore n = 11+5= 
<gadget id="calculator">11+5</gadget>
<output>16</output>
16   The answer is 16.
<result>C</result>
Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?