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Math Help - Data - Calculate the Actual median

  1. #1
    Feb 2009
    South Africa

    Data - Calculate the Actual median

    Ok here is the table I am given.

    Mark Intervals Number of Learners
    30-39 2
    40-49 5
    50-59 20
    60-69 42
    70-79 25
    80-89 5
    90-99 3

    Then I did the a cumulative frequency and represented the data on an Ogive.

    I was then asked to read off the Median from the Ogive which was also straight forward.

    Then I was asked to calculate the ACTUAL median.

    Any help on how to calculate it?

    What I did was (100 + 1)/2 and got 50.5th value which would be in the 60-69 interval and I gave that as my answer? Is that correct? If not, how would I do this problem.

    Thanks for the help in advance
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  2. #2
    Master Of Puppets
    pickslides's Avatar
    Sep 2008
    You have 102 samples therefore the median will be in between the 51st and 52nd values. You are correct to say it lies in the 60-69 range.
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