In annual day of a school, age-wise participation of students is shown in the following frequency distribution:
Age of students (in years) 5-7 7-9 9-11 11-13 13-15 15-17 17-19
Number of students 20 18 22 25 20 15 10
Draw a ‘less than type’ ogive for the above data and from it find the median age.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is 1.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

We are given data, and we have to form a less than type ogive and find the median. The less-than-type table can be written as

Age (class)	Number of Students (frequency)
Less than 7	20
Less than 9	38
Less than 11	60
Less than 13	85
Less than 15	105
Less than 17	120
Less than 19	130
The ogive is shown below:

The 𝑥 − 𝑎𝑥𝑖𝑠 is taken as the age of students, and the 𝑦 − 𝑎𝑥𝑖𝑠 is taken as the number of students

This table shows that the total frequency, or the total number of students, is 130. So, the middlemost age student = 130/2
= 65
In the graph, the 𝑥 − 𝑐𝑜𝑜𝑟𝑑𝑖𝑛𝑎𝑡𝑒 corresponding to the 𝑦 − 𝑐𝑜𝑜𝑟𝑑𝑖𝑛𝑎𝑡𝑒 of 65 is 11. 4. Hence, the median age is 11. 4 years.