Set S consists of integers {8, 11, 12, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 25%. What is the value of integer n?  Select.
A) 28 B) 32 C) 36 D) 40 E) 44
The average of the numbers in set S is 12.   If we increase the mean by 25%, the new mean is 15.   Thus, on average, 5 numbers increase by 5.   Therefore n = 15+25= 
<gadget id="calculator">15+25</gadget>
<output>40</output>
40   The answer is 40.
<result>D</result>
Set S consists of integers {8, 11, 12, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 25%. What is the value of integer n?