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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.
Solution
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.
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