Sum of Integers Not an IntegerDate: 02/20/2003 at 20:36:16 From: Juliet Subject: Picking a set of integers with a certain mean I need to pick a set of 9 integers with a mean of 3.5. I can't make it work with an odd number of integers. Date: 02/20/2003 at 22:54:51 From: Doctor Ian Subject: Re: Picking a set of integers with a certain mean Hi Juliet, Before we try lots of combinations, let's think about this. We're trying to pick 9 integers such that 1st + 2nd + ... + 9th --------------------- = 3.5 9 Now, what this means is that 1st + 2nd + ... + 9th = 9 * 3.5 = 31.5 Does that make sense? If so, is there _any_ way to pick 9 integers that add up to something that isn't an integer? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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