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3, k, 2, 8, m, 3
The arithmetic mean of the list of numbers above is 4. If k and m are integers and k ≠ m, what is the median of the list?
  • a)
    2
  • b)
    2.5
  • c)
    3
  • d)
    3.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
3, k, 2, 8, m, 3The arithmetic mean of the list of numbers above is 4....
Mean = 4
k ≠ m so k = m = 4 is out.
{k, m} = {1, 7} or {2, 6} or {3, 5}
for median of {3, k, 2, 8, m, 3}
{1, 2, 3, 3, 7, 8} or {2, 2, 3, 3, 6, 8} or {2, 3, 3, 3, 5, 8}
Median: (3 + 3) /2 = 3
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