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The average mark in Maths of 10 friends is 85. The average of the top 9 highest marks getter is 90. The average mark of the bottom 9 marks getter is 80. What is the average of the highest and the lowest marks?

The average mark in Maths of 10 friends is 85. The average of the top 9 highest marks getter is 90. The average mark of the bottom 9 marks getter is 80. What is the average of the highest and the lowest marks? Correct Answer 85

Given:

The average of 10 friends is 85

The average of top 9 is 90

The average of bottom 9 is 80

Concept:

Total = average × total number of items

Calculations:

Total marks in maths = 85 × 10 = 850

Total marks of top 9 = 9 × 90 = 810

Marks of lowest marks getter = 850 – 810 = 40

Total marks of bottom 9 = 80 × 9 = 720

Marks of highest marks getter = 850 – 720 = 130

Average of highest and lowest marks getter = (130 + 40)/2

⇒ Average = 170/2

⇒ Average = 85

∴ The average of the highest and the lowest marks is 85

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