Question Bank - Mathematics

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For grouped data, the expression of the median is based on:

A.
interpolation method
B.
extrapolation method
C.
trial and error method
D.
iterative method

Solution:

ExplanationFor the grouped data the formula of the median is given byMedian = L1 + I/F(N/2 - c)Whereas, L1 = Lower limit of the class in which particular partition values liesF = Frequency of the class intervalN = Total frequencyc = Cumulative frequency of the class preceding the class in which the particular partition value liesI= Width of the class intervalThis method is called the Interpolation method? For grouped data, the expression of the median is based on the interpolation method

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