Q. 34.5( 17 Votes )

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Answer :

For mode:

Here, highest frequency is 40.


So, the modal class = 1500-2000


Mode is given by



Where,


L = Lower class limit of the modal class = 1500


h = class interval of the modal class = 500


f1 = frequency of the modal class = 40


f0 = frequency of the class preceding the modal class = 24


f2 = frequency of the class succeeding the modal class = 33


Substituting values in the formula of mode,




Mode = 1500 + 347.8


Mode = 1847.8


For mean:


Using assumed-mean method, as values of the data are large.


Let’s draw a table showing midpoints and frequencies.



Mean is given by




Mean = 2750 – 87.5


Mean = 2662.5


Thus, mode is 1847.8 and mean is 2662.5.


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