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Math Help - mode for unequal class length

  1. #1
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    mode for unequal class length

    How to find mode for grouped frequency distribution with unequal class length? I have to find the mode for the following problem:

    Marks--- No of students

    0-20--- 32
    20-50--- 45
    50-70--- 15
    70-100 ---8


    For equal class length, we use the formula

    Mode= l+(f_0-f_-1)/(2f_0-f_-1-f_+1)

    But how to proceed for the above example?
    Last edited by Suvadip; February 23rd 2014 at 09:31 PM.
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  2. #2
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    Re: mode for unequal class length

    I think the answer is that in order to find the mode of a set of data you work with it before you sort it into bins.

    Let's say you have permissible data values yj.

    You take samples and observe nj occurrences of each yj

    The mode of this data set is the yk such that nk is the maximum of all the nj's

    Mode (statistics) - Wikipedia, the free encyclopedia
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  3. #3
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    Re: mode for unequal class length

    Hey Suvadip,
    You can convert this grouped frequenct distribution into frequency distribution of equal class length as follows:

    Marks---Number of Students
    0-25---39
    25-50---38
    50-75---16
    75-100---7
    then use the usual formula for mode
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  4. #4
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    Re: mode for unequal class length

    Quote Originally Posted by Vinod View Post
    Hey Suvadip,
    You can convert this grouped frequenct distribution into frequency distribution of equal class length as follows:

    Marks---Number of Students
    0-25---39
    25-50---38
    50-75---16
    75-100---7
    then use the usual formula for mode
    How have you done this conversion?
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