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Math Help - class witdth

  1. #1
    Junior Member
    Joined
    Feb 2009
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    class witdth

    Hi , I'm having some difficilties with this exercise :

    59400 48900 55400 64600
    57800 56200 47200 55500
    57700 43400 54300 51200
    53000 57400 57100 54600
    49300 46000 57700 52700
    58000 40300 64600 52700
    52100 55900 50600 46700

    The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should
    have 10 classes with a "nice" class width. Each class should contain its lower class limit, and the lower class
    limits should all be multiples of the class width.

    This problem is to determine what the class width should be.

    What is the (most likely) discrete unit for this data set?
    discrete unit = __________________
    What is the span of the range?
    span = __________________
    Using this value, if the goal is to have 10 classes, what is the nicest class width?
    optimal class width = __________________


    I usually know how to calculate a class width ; I calculate the range , which is the maximum value subtracted from the minimum value in the set ; then , I divide the result by number of classes. However, in this case, I have to deal with a discrete unit and the span of the range , and I have no idea what to do. Thanks in advance!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by skorpiox View Post
    Hi , I'm having some difficilties with this exercise :

    59400 48900 55400 64600
    57800 56200 47200 55500
    57700 43400 54300 51200
    53000 57400 57100 54600
    49300 46000 57700 52700
    58000 40300 64600 52700
    52100 55900 50600 46700

    The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should
    have 10 classes with a "nice" class width. Each class should contain its lower class limit, and the lower class
    limits should all be multiples of the class width.

    This problem is to determine what the class width should be.

    What is the (most likely) discrete unit for this data set?
    discrete unit = __________________
    What is the span of the range?
    span = __________________
    Using this value, if the goal is to have 10 classes, what is the nicest class width?
    optimal class width = __________________


    I usually know how to calculate a class width ; I calculate the range , which is the maximum value subtracted from the minimum value in the set ; then , I divide the result by number of classes. However, in this case, I have to deal with a discrete unit and the span of the range , and I have no idea what to do. Thanks in advance!
    Coverage of 40000 to 65000 will cover all the data, then 10 classes will give a class interval of 2500 and all the lower limits will be multiples of this.

    CB
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