Question 69

In a class when test is conducted, mean of 25 students marks is 60. If mean of first 13 students marks is 70 and mean of last 13 students marks is 50 find the marks of the middle student when arranged in the ascending order.

Solution

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According to the question,
Total marks obtained by all the students in the class = 25 x 60 = 1500 
Total marks obtained by first 13 students = 13 x 70 = 910
Total marks obtained by last 13 students = 13 x 50 = 650 
Marks obtained by the middle student(13th student) = (910 + 650) - 1500 
= 1560 - 1500 = 60
Marks obtained by middle student = 60
Hence, option D is the correct answer.

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