# Set of items closest to the mean? [closed]

Given a set of N objects with assigned weights, how would we find the set of K objects that is closest to the average? The average being sum(weights) / N.

Also, how could we compute the next set that is 2nd closest to the average, and continue on to the 3rd, 4th, etc.?

## closed as unclear what you're asking by gnat, Jörg W Mittag, 8bittree, enderland, David HammenJun 18 '17 at 20:39

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• What are you computing the mean over? The subset or the full set? And what measure are you using to compare a subset with the average? – CodesInChaos May 22 '17 at 14:37

## 1 Answer

1. Calculate the average
2. For each object calculate its difference from the average
3. Sort by this difference.
4. Take K objects from the top of the sorted list, and so on