Question 67

The average of 60 student’s results is 38. If the average of the first 22 students is 36, and that of the last 32 students is 32, then the average result of the remaining students is:

Solution

Total sum of result of 60 students = average $$\times number of students = 38 \times 60 = 2280$$

Sum of result of first 22 students = $$ 36 \times 22$$ = 792

Sum of result of last 32 students = $$ 32 \times 32$$ = 1024

Sum of result of remaining students = 2280 - 792 - 1024 = 462

Number of remaining students = 60 - 22 - 32 = 6

Average result of the remaining students = 462/6 = 77

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