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A set of 15 different integers has median of 25 and a range

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Re: A set of 15 different integers has median of 25 and a range [#permalink]

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Hi Pratyaksh2791,

This question asks us to find the greatest possible number that could be in this set. Since 25 is the MEDIAN of the group of 15 INTEGERS, we know that 7 integers are greater than 25 and 7 integers are less than 25. We're told that the largest integer is exactly 25 more than the smallest integer, so to maximize the biggest value, we also have to maximize the smallest value. Since we're restricted to INTEGERS, the only way to get that maximum result is if the 7 integers that are less than 25 are CONSECUTIVE integers:

24, 23, 22, 21, 20, 19 and 18

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Kudos [?]: 3694 [1], given: 173

Re: A set of 15 different integers has median of 25 and a range   [#permalink] 25 Nov 2017, 14:22
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A set of 15 different integers has median of 25 and a range

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