Question

A survey was conducted on 20 families in a locality by a group of students .What will be the mode of the data?

$$\begin{array}{cccccc}Ageoffamilymember& 0-20& 20-40& 40-60& 60-80& 80-100\\ Numberofstudents& 7& 8& 2& 2& 1\end{array}$$

Given that modal class is 20-40

• A. 21.85
• B. 22.85
• C. 23.87
• D. 24.87

Answer 1

The correct option is B

22.85

Given that the modal class is 20- 40
Frequency of modal class= 8
Frequency of the preceding class = 7
Frequency of the succeeding class = 2

$l=20;D_1=8-7=1$
$D_2=8-2=6;h=20$

$Mode=l+\left(\frac{D_1}{D_1+D_2}\right)\times h=20+\frac{1}{7}\times 20=22.86$