SSC CHSL 2024 PYQ — Question 68

The correct answer is Option 3 i.e. 1.425 years.

The mean is calculated as the sum of all the ages multiplied by the number of children, divided by the total number of children.

Mean = ∑(Age × Number of Children)/∑Number of Children

⇒ 6 × 8 = 48

⇒ 7 × 3 = 21

⇒ 8 × 7 = 56

⇒ 9 × 2 = 18

⇒ 10 × 20 = 200

Mean = $\frac{48+21+56+18+200}{8+3+7+2+20} = \frac{343}{40}$ = 8.575

And,

The mode is the age with the highest frequency, which is 10 years

Hence,

Difference = Mode - Mean = 10 - 8.575 = 1.425