Question

Out of 10 students, who appeared in a test, three secured less than 30 marks and 3 secured more than 75 marks. The marks secured by the remaining 4 students are 35, 48, 66 and 40. Find the median score of the whole group.

Answer 1

Here, total observations = n = 10 (even)
Thus, we have

Median =`1/2[ "value of"(10/2)^"th""term"+"value of"((10)/(2)+1)^"th""term"]`

=`1/2[ "valueof" 5^"th" "term"+"value of "6^"th" "term"]`

According to the given information, data in ascending order is as follows:

	1 st Term	2nd Term	3rd Term	4th Term	5th term	6th Term	7th Term	8th Term	9th term	10th term
Marks	Less than 30			35	40	48	66	More than 75

∴ Median =`1/2(40 + 48) = 88/2 =44`

Hence, the median score of the whole group is 44.