Question : The average mark obtained by 19 boys in a college is 48. If the highest and lowest marks obtained are removed, the average is reduced by 4. What is the average of the highest and lowest marks obtained?
Option 1: 76
Option 2: 80
Option 3: 84
Option 4: 82
Correct Answer: 82
Solution :
The average mark obtained by 19 boys in a college is 48.
Total marks = 19 × 48 = 912
If the highest and lowest marks obtained are removed, the average is reduced by 4.
Remaining 17 boys average = 48 – 4 = 44
Total marks of 17 boys = 17 × 44 = 748
Total marks of highest and lowest = 912 – 748 = 164
Average mark of highest and lowest $=\frac{164}{2}=82$
Hence, the correct answer is 82.
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