The arithmetic mean of the set S = {4, K, 3, 9, M, 4} is 5. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? Choose the correct answer:
A) 3 B) 3.5 C) 4 D) 4.5 E) 5
The sum of the numbers is 6*5= 
<gadget id="calculator">6*5</gadget>
<output>30</output>
30   K+M= 30 - 9 - 4 - 4 - 3= 
<gadget id="calculator">30 - 9 - 4 - 4 - 3</gadget>
<output>10</output>
10   Since K ≠ M, K and M do not equal 5.   Thus one of the two numbers is 4 or less and one is 6 or more.   Then middle two numbers in the set are 4 and 4.   The median is 4.   The answer is 4.
<result>C</result>
The arithmetic mean of the set S = {4, K, 3, 9, M, 4} is 5. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?