The age distribution of 40 children is as follows: Age (in years) 5 – 6 6 – 7 7 – 8 8 – 9 9 – 10 10 – 11 Number of children 4 7 9 12 6 2 Consider the following statements in respect of the above frequency distribution: 1. The median of the age distribution is 7 years 2. 70% of the children are in the age group 6 – 9 years. 3. The modal age of the children is 8 years. Which of the above statements are correct?

1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 2 and 3 only

Total number of children = 40

Half of the total number = 20

20^th person will be in the group 7 – 8

Median = L +

⇒ 7 + = 8

⇒ Statement 1 is false

Number of students from 6 – 9 years = 7 + 9 + 12 = 28

⇒ 28 = 70% of 40

⇒ Statement 2 is true

Modal class = 8 – 9

⇒ Mode = L +

⇒ 8 +

⇒ 8 + 3/9 = 8.33 that is same as 8 years

⇒ Statement 3 is true

4 views Answered 2022-09-04 04:29

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