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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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Solution Improved possible solutions (spoiler?) Comment 3 of 3 |
a. {0,8,10,11,11}  (same as Charlie)

b. {-21,8,10,10,11,12,13,14,15} (same as Charlie)

c. {4,5,6,7,8,10,11,11,28}

d. {-1,8,8,10,11,12,13,14,15}

e. {4,5,6,7,8,10,10,11,38}

f. {8,8,10,11,18}

  Posted by Steve Herman on 2014-02-21 20:38:45
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