Question

A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household.

Family size	1-3	3-5	5-7	7-9	9-11
Number of families	7	8	2	2	1

The mode of this data 3.286

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow$ Here, modal class $=3-5$

$\Rightarrow$ $l=3,f_0=7,f_1=8,f_2=2$ and $h=2$

$\Rightarrow$ $Mode=l+\frac{f_1-f_0}{2f_1-f_0-f_2}\times h$

$=3+\frac{8-7}{2\times 8-7-2}\times 2$

$=3+\frac{1}{7}\times 2$

$=3+0.286$

$\therefore$ Mode $=3.286$

$\therefore$ Given mode value in question is correct.