Q13 of 55 Page 340

Let us find the mean of obtaining marks of girl students if their cumulative frequencies are as follows.

We have been given cumulative frequencies of data as given in question.

We need to convert it into grouped frequency distribution (exclusive type of data).


So, let us create a table showing the frequencies and class intervals.



So, we have


∑fixi = 3625


∑fi = 105


From direct method, mean is given by



Using the above values,



⇒ Mean = 34.52


Thus, mean is 34.52.


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