A experiment conducted on 20 household in a locality by a group of students resulted in the following frequency table for the number of family member in a household :

The mode of the given data is :

3.286

Mode class is = 3 - 5

l = 3 , f0 = 7 , f1 = 8 , f2 = 2 & h = 2

Mode = l + \(\frac{ f1 - f0 }{ 2f1 - f0 - f2 }\) × h

= 3 + \(\frac{ 8 - 7 }{ 16 - 7 - 2  }\) × 2

= 3 + \(\frac{ 1 }{ 7  }\) × 2

= 3.286

The correct answer is option (2) : 3.286