+3 votes
in Class 10 by kratos

Find the mean, median and mode from the following table:

1 Answer

+6 votes
by kratos
 
Best answer

We have n = 274

So, n/2 = 274/2 = 137

The cumulative Frequency just greater than n/2 is 152 then the median class is 21 – 28 such that

the lower limit (l) = 21

cumulative frequency of the class preceding 21 – 28 (cf) = 80

frequency of the median class 21-28 = 72,

class size (h) = 7

Using the formula,

Now, we have to find the mode

Here, the maximum class frequency is 72, and the class corresponding to this frequency is 21 – 28.

So, the modal class is 21 – 28.

Now, modal class = 21 – 28, lower limit (l) of modal class = 21, class size(h) = 7

frequency (f1) of the modal class = 72

frequency (f0) of class preceding the modal class = 36

frequency (f2) of class succeeding the modal class = 51

Now, let us substitute these values in the formula

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