**Q) **The following table gives the heights (in cm) of a group of 55 students in a class.

Compute the modal height and interpret the result.

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

In the given question, class “146 – 148” has 12 students (i.e. highest frequency of 12).

**Hence, modal class is “146-148”.**

Now mode of the grouped data is calculated by:

Mode = L + x h

Here,

L = lower class limit of modal class = 146

_{ }= frequency of modal class = 12

_{ }= frequency of class proceeding to modal class = 9

_{ }= frequency of class succeeding to modal class = 9

h = class size = 148 – 146 = 2

Let’s put values in the formula and solve:

Mode = L + x h

= 146 + x 2

= 146 + x 2

= 146 + 1

**= 147**

**Hence, the modal height of the class is 147 cm**

**Interpretation of the result: **

**The height of maximum students in the class is 147 cm.**