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 ?->(Show Answer!)

1. 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

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By: anil on 05 May 2019 01.53 am

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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