Question

Find the mode of the following data.$$\begin{array}{cccccc}\text{Class interval}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{Frequency}& 7& 11& 15& 9& 8\end{array}$$

• A. 140
• B. 200
• C. 240
• D. 300

Answer 1

The correct option is C 240

Modal Class (class with highest frequency) is 200-300.

Using $\text{Mode}=l+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h$
where $f_1$ represents the frequency of the modal class.
Also,
$l=$ lower boundary of the modal class
$h=$ size of the modal class interval
$f_0=$ frequency of the class preceding the modal class
$f_2=$ frequency of the class succeeding the modal class

$\text{Mode}=200+\frac{15-11}{30-11-9}\times 100$

$\therefore Mode=240$