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 :
| Family Size | 1-3 | 3-5 | 5-7 | 7-9 | 9-1 |
| Number of families | 7 | 8 | 2 | 2 | 1 |
The mode of the given data is :
Answer & explanation
Correct answer: option 2
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