The age distribution of 40 children is as follows

Consider the following statements in respect of the above frequency distribution.

(A) The median of the age distribution is 7 yr.

(B) 70% of the children are in the age group 6-9 yr.

(C) The modal class of the children is 8-9 yr.

Which of the above statements are true?

Choose the correct answer from the options given below:

(B) and (C) only

The correct answer is Option (2) → (B) and (C) only

Given data:

(A) Median

• Total children = 40 → Median position = $\frac{40+1}{2} = 20.5^{th}$ child
• Cumulative frequency:

• Median class = 8–9 yr (since 20.5th child falls in 8–9 yr)

So median is NOT 7 yr
(A) is false

(B) 70% of children in age group 6–9 yr

• Age groups 6–7, 7–8, 8–9 → 7 + 9 + 12 = 28 children
• Percentage = $\frac{28}{40} \times 100 = 70\%$

(B) is true

(C) Modal class

• Mode = class with highest frequency
• Frequencies: 4, 7, 9, 12, 6, 2 → Highest = 12 → 8–9 yr

(C) is true

Correct answer: (B) and (C) only