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Math Help - Cumulative Frequency (Interquartile Range)

  1. #1
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    Cumulative Frequency (Interquartile Range)

    Hi,

    I understand what an interquartile range is, however when I was asked to answer the following question I did not know why I got it wrong:

    " A box contains 100 cards. Each card has a number between one and six written on it. The following table shows the frequencies for each number.

    Number: 1, 2, 3, 4, 5, 6
    Frequency: 26 10 20 4 29 11
    Cumulative F: 26 36 56 60 89 100


    So what I did was worked out, the UQ which was 75 and took the LQ away from it which was 25, leaving 50. The number 50 corresponded to the the number 3 which I thought was correct, however the actual answer is 4. (NB: a graph was not supposed to be drawn).

    Please tell me where I went wrong and why is 4 the answer.

    Thanks

    p.s sorry for the badly drawn table.
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  2. #2
    MHF Contributor
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    What NUMBER represents the BOTTOM of the Upper Quartile?
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  3. #3
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    Of course! I get it now, that was a silly mistake, thanks again!
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