Question : The average of 13 results is 70. If the average of the first seven is 65 and that of the last seven is 75, the seventh result is:
Option 1: 67
Option 2: 70
Option 3: 68
Option 4: 70.5
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Correct Answer: 70
Solution :
The average of 13 results = 70
The sum of all results = 13 × 70 = 910
The average of the first seven = 65, and the average of the last seven = 75
The sum of the first seven results = 7 × 65 = 455
The sum of the last seven results = 7 × 75 = 525
Seventh result = sum of first seven results + sum of last seven results – the sum of all results
= 455 + 525 – 910 = 70
Hence, the correct answer is 70.
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