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A data set has 60 observations with minimum value equal to 30 and a maximum value equal to 72. The estimated class width using the 2k>n rule to determine the number of classes is ___.

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  1. 21 January, 03:04
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    7

    Explanation:

    class width = (largest value-smallest value) / k

    where k is the number of classes.

    According to 2^k>n rule

    We choose different value of k till we get the 2^k greater than number of observation.

    The given value of n=60

    Now,

    2^1=2 <60

    2^2=4 <60

    2^3=8 <60

    2^4=16 <60

    2^5=32 <60

    2^6=64 >60

    So, k=6.

    Now class width = (largest value-smallest value) / k

    class width=72-30/6

    class width=42/6=7

    class width=7
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