# [SOLVED] SAT math page 738 #19

• Sep 29th 2008, 12:06 AM
fabxx
[SOLVED] SAT math page 738 #19
In a set of eleven different numbers, which of the following CANNOT affect the value of the median?

a) doubling each number
b) increasing each number by 10
c) increasing the smallest number only
d) decreasing the largest number only
e) increasing the largest number only

Is there any shortcuts in doing this?
• Sep 29th 2008, 12:20 AM
Jhevon
Quote:

Originally Posted by fabxx
In a set of eleven different numbers, which of the following CANNOT affect the value of the median?

a) doubling each number

if you double each number, then the median will double as well

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b) increasing each number by 10
if you increase each number, then the median will increase as well

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c) increasing the smallest number only
the smallest number may overtake the median if you increase it too much, thus changing what number we take for the median

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d) decreasing the largest number only
it might undertake the median

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e) increasing the largest number only
this is the only plausible answer by process of elimination. but you see how it makes sense, right?
• Sep 29th 2008, 01:24 AM
fabxx
E is correct because no matter how much you increase the largest number, it is still the largest number, so it won't undertake the median. But as for decreasing the largest number, you might decrease it that it does undertake the median. And same goes for c)

Is this correct?
• Sep 29th 2008, 01:42 AM
Jhevon
Quote:

Originally Posted by fabxx
E is correct because no matter how much you increase the largest number, it is still the largest number, so it won't undertake the median. But as for decreasing the largest number, you might decrease it that it does undertake the median. And same goes for c)

Is this correct?

yes. increasing the largest number does not change the order in which the numbers appear, as the larger before will still be the larger after increasing it. all else remains the same