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More mean median mode (Posted on 2014-02-21) Difficulty: 3 of 5
For each part begin with the set {8, 10, 11}.

The goal is to add as few integers as possible to the set to create a new set having the given values. If there is more than one possibility then the range should be minimized.

a. mean=8, median=10, mode=11

b. mean=8, median=11, mode=10

c. mean=10, median=8, mode=11

d. mean=10, median=11, mode=8

e. mean=11, median=8, mode=10

f. mean=11, median=10, mode=8

Notes: Mean refers to the arithmetic mean. There should be a single mode (no ties).

No Solution Yet Submitted by Jer    
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re: possible solution | Comment 2 of 3 |
(In reply to possible solution by Charlie)


Your (a) and (b) solutions look right to me, but solutions for (c) through (f) do not adhere to the problem conditions.  Each of 8, 10 and 11 needs to be in the solution set at least once. 

  Posted by Steve Herman on 2014-02-21 16:34:07
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