Answer :

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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