Set S consists of integers {4, 7, 10, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 50%. What is the value of integer n?	Answers
A) 28
B) 32
C) 36
D) 40
E) 44
The average of the numbers in set S is 10.   If we increase the mean by 50%, 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 {4, 7, 10, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 50%. What is the value of integer n?