Q. 54.6( 13 Votes )

# Let us find the mode from the following frequency distribution table of ages of examinees of an entrance examination.

Answer :

This is a grouped frequency distribution table.

Notice the greatest number of examinees is 75.

⇒ Modal class = 18 – 20

Mode is given by

Where,

L = Lower class limit of the modal class = 18

h = class interval of the modal class = 2

f_{1} = frequency of the modal class = 75

f_{0} = frequency of the class preceding the modal class = 45

f_{2} = frequency of the class succeeding the modal class = 38

Substituting values in the formula of mode,

⇒

⇒

⇒ Mode = 18 + 0.896

⇒ Mode = 18.896

**Thus, mode is 18.896.**

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