Question 113

The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. The average marks of the top 5 students is

Solution

Average = $$\frac{SumofElements}{NumberofElements}$$

Given that average marks of 40 students in a class = 86

Hence total marks of 40 students = 40 x 86 = 3440

Now when the top 5 highest marks are removed than the average reduces by 1 and hence it become = 86-1 = 85

and number of students now becomes = 40-5 = 35

So total of remaining students = 35 x 85 = 2975

So total marks of top 5 students = 3440 - 2975 = 465

average of 5 students = $$\frac{465}{5}$$ = 93


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