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Math Help - Probability Question

  1. #1
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    Jan 2010
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    Probability Question

    Hi,

    Need some help with this problem, not to sure what's the right approach.

    Data Set: 3, 8, 6, 5, 7, 11, 6, 4, 9, 9

    Question: Using the above data set, what value would you select to have less than a 25% chance of having a number smaller than this value.

    Thanks
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  2. #2
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    Jan 2010
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    Regardless, begin by arranging the data in order:

    3, 4, 5, 6, 6, 7, 8, 9, 9, 11

    Now, there are ten sample data points. We are looking for one value that essentially is less than roughly 75% of the remaining data.

    So, 25% of 10 = 2.5; rounded up to 3 since 5 has two numbers less than it (20% of the data, which is obviously less than 25%.)

    I am sure the question is a little more specific, because, technically, the way that you word it leaves 3 and 4 as valid answers too. (Choosing 3, 0% is certainly less than 25%.)
    Last edited by mr fantastic; January 26th 2010 at 02:30 AM.
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