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?
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? Correct Answer 2 and 3 only
Total number of children = 40
Half of the total number = 20
20th 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