Q. 34.5( 17 Votes )

# <span lang="EN-US

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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