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Mode of Grouped Data

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CBSE: Class 10
Maharashtra State Board: Class 10

Definition: Modal Class

In a grouped frequency distribution, the modal class is the class interval that has the highest frequency.

CBSE: Class 10
Maharashtra State Board: Class 10

Formula: Mode

\[\mathrm{Mode}=l+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h\]

l = lower limit of the modal class,
h = size of the class interval (assuming all class sizes to be equal),
f1 = frequency of the modal class,
f0 = frequency of the class preceding the modal class,
f2 = frequency of the class succeeding the modal class.

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