Question : The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth number is:
Option 1: 48
Option 2: 50
Option 3: 52
Option 4: 56
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Correct Answer: 56
Solution :
Given: The average of 11 results is 50.
The average of the first 6 results is 49.
The average of the last 6 results is 52.
According to the question,
The sum of 11 results = 50 × 11 = 550
The sum of the first 6 results = 49 × 6 = 294
The sum of the last 6 results = 52 × 6 = 312
So, the sixth result = sum of first 6 results + sum of last 6 results – sum of 11 results
⇒ The sixth result = 294 + 312 – 550 = 56
Hence, the correct answer is 56.
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