Notes On Mode of Grouped Data - CBSE Class 10 Maths
In Statistics Mean, Median and Mode are known as the measures of central tendencies. The mode of a given set of data is the observation with the maximum frequency. The first step towards finding the mode of the grouped data is to locate the class interval with the maximum frequency. The class interval corresponding to the maximum frequency is called the modal class. The mode of this data is calculated using the formulae. Mode = l + h x $\frac{{\text{f}}_{\text{i}}\text{-}{\text{f}}_{\text{0}}}{{\text{2f}}_{\text{1}}\text{-}{\text{f}}_{\text{0}}\text{-}{\text{f}}_{\text{2}}}$ . Where, l is the lower class limit of the modal class “h” stands for the class size assuming that all class intervals have the same class size. “f1” stands for the frequency of the modal class. "f0"stands for the frequency of the class preceding or just before the modal class. "f2" stands for the frequency of the class succeeding or just after the modal class. Relationship between Mean, Median and Mode Mode = 3 Median - 2 Mean Median = Mode + $\frac{\text{2}}{\text{3}}$( Mean - Mode) Mean = Mode + $\frac{\text{3}}{\text{2}}$( Median - Mode)

#### Summary

In Statistics Mean, Median and Mode are known as the measures of central tendencies. The mode of a given set of data is the observation with the maximum frequency. The first step towards finding the mode of the grouped data is to locate the class interval with the maximum frequency. The class interval corresponding to the maximum frequency is called the modal class. The mode of this data is calculated using the formulae. Mode = l + h x $\frac{{\text{f}}_{\text{i}}\text{-}{\text{f}}_{\text{0}}}{{\text{2f}}_{\text{1}}\text{-}{\text{f}}_{\text{0}}\text{-}{\text{f}}_{\text{2}}}$ . Where, l is the lower class limit of the modal class “h” stands for the class size assuming that all class intervals have the same class size. “f1” stands for the frequency of the modal class. "f0"stands for the frequency of the class preceding or just before the modal class. "f2" stands for the frequency of the class succeeding or just after the modal class. Relationship between Mean, Median and Mode Mode = 3 Median - 2 Mean Median = Mode + $\frac{\text{2}}{\text{3}}$( Mean - Mode) Mean = Mode + $\frac{\text{3}}{\text{2}}$( Median - Mode)

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