Here, highest frequency is 40.
So, the modal class = 1500-2000
Mode is given by
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
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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