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Math Help - [SOLVED] SAT math page 738 #19

  1. #1
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    [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

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    Thanks in advance
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by fabxx View Post
    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

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

    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

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

    e) increasing the largest number only
    this is the only plausible answer by process of elimination. but you see how it makes sense, right?
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    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?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by fabxx View Post
    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
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