**Q) **Find the mode of the following frequency distribution:

**Ans: **Since the modal class is the class with the highest frequency.

In the given question, class “40 – 50” has 17 frequency which is the highest frequency among all other classes.

**Hence, modal class is “40 – 50”.**

Now mode of the grouped data is calculated by:

Mode = L + x h

Here,

L = lower class limit of modal class = 40

_{ }= frequency of modal class = 17

_{ }= frequency of class proceeding to modal class = 12

_{ }= frequency of class succeeding to modal class = 4

h = class size = 50 – 40 = 10

Let’s put values in the formula and solve:

Mode = L + x h

= 40 + x 10

= 40 + x 10

= 40 + = 40 + 2 ** = 42 **

**Hence, the mode value is 42 **

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