Orange08 wrote:
Set S contains seven distinct integers. The median of set S is the integer m, and all values in set S are equal to or less than 2m. What is the highest possible average (arithmetic mean) of all values in set S ?
A. m
B. 10m/7
C. 10m/7 – 9/7
D. 5m/7 + 3/7
E. 5m
One approach is to TEST a value of m.
Let's say m =5 .
So, when we arrange all 7 values in ASCENDING order, 5 is the MEDIAN: _ _ _5 _ _ _
Since all values in set S are equal to or less than 2m, the BIGGEST value is 10.
So,
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