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    Which is the correct formula for median of grouped data? Consider: L= lower limit of median class CF_0= cumulative frequency of preceding cla
    Question

    Which is the correct formula for median of grouped data?
    Consider:
    L= lower limit of median class
    CF_0= cumulative frequency of preceding class
    F= frequency of median class
    H= class width
    N= the total of frequency

    A.

    (N/2CF0)F×H\frac{( N/2-CF_0)}F×H​​

    B.

    L+(N/2CF0)F×HL+\frac{(N/2-CF_0)}F×H​​

    C.

    L+(N/2CF0)FL+\frac{(N/2-CF_0)}F​​

    D.

    L+N2CF0F×HL+\frac N2-CF_0-F×H​​

    Correct option is B

    Solution:

    Median=L+(N/2CF0F)×H\text{Median} = L + \left( \frac{N/2 - CF_0}{F} \right) \times H 

    Where: 

    L = Lower limit of the median class

    CF0CF_0 = Cumulative frequency of the class preceding the median class

    F = Frequency of the median class

    H = Class width (difference between the upper and lower limit of the median class)

    N = Total frequency (sum of all frequencies) 

    Thus, Option(b) is correct.


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