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9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and
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Q12 of 145 Page 410

The relation between mean, mode and median is

This relationship between mean, median and mode is also called empirical relationship and is given by,


mode = (3 × median) – (2 × mean)

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10

In the formula, for finding the mean of the grouped data, the di's are the deviations from A of

11

While computing the mean of the grouped data, we Assume that the frequencies are

13

If the 'less than type' ogive and 'more than type' ogive intersect each other at (20.5, 15.5) then the median of the given data is

14

Consider the frequency distribution of the heights of 60 students of a class:






































Height (in cm)



No of Students



Cumulative Frequency



150 - 155



16



16



155 - 160



12



28



160 - 165



9



37



165 - 170



7



44



170 - 175



10



54



175 - 180



6



60



The Sum of the lower limit of the modal class and the upper limit of the median class is

Questions · 145
9. Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and
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