The arithmetic mean of the set S = {5, K, 4, 10, M, 5} is 6. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? Choose the most appropriate option.
A) 4
B) 4.5
C) 5
D) 5.5
E) 6
The sum of the numbers is 6*6= 
<gadget id="calculator">6*6</gadget>
<output>36</output>
36   K+M= 36 - 10 - 5 - 5 - 4= 
<gadget id="calculator">36 - 10 - 5 - 5 - 4</gadget>
<output>12</output>
12   Since K ≠ M, K and M do not equal 6.   Thus one of the two numbers is 5 or less and one is 7 or more.   Then middle two numbers in the set are 5 and 5.   The median is 5.   The answer is 5.
<result>C</result>
The arithmetic mean of the set S = {5, K, 4, 10, M, 5} is 6. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?