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    The table here gives the yield of wheat per hectare of 100 farmers of a village. What is the cumulative frequency of the class preceding the median cl
    Question

    The table here gives the yield of wheat per hectare of 100 farmers of a village. What is the cumulative frequency of the class preceding the median class?

    Production yield (Qui/Hec)
    Number of farmers
    30-40
    5
    40-50
    18
    50-60
    15
    60-70
    22
    70-80
    27
    80-90
    13

    A.

    43

    B.

    38

    C.

    29

    D.

    35

    Correct option is B

    Solution:

    Class IntervalFrequencyCumulative Frequency30405540501823506015386070226070802787809013100\begin{array}{|c|c|c|}\hline\textbf{Class Interval} & \textbf{Frequency} & \textbf{Cumulative Frequency} \\\hline30 - 40 & 5 & 5 \\40 - 50 & 18 & 23 \\50 - 60 & 15 & 38 \\60 - 70 & 22 & 60 \\70 - 80 & 27 & 87 \\80 - 90 & 13 & 100 \\\hline\end{array}​​

    total number of farmers (N):

    N = 5 + 18 + 15 + 22 + 27 + 13 = 100
    N2\frac{N}{2}​ = 1002\frac{100}{2} = 50  falls in the class 60-70 

    The median class is 60-70.

    The class preceding 60-70 is50-60.
    From the table,

    the cumulative frequency of 50-60 = 38.

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