Question:
The average of 11 numbers is 50. The average of the first 6 numbers is 49 and the average of the last 6 numbers is 52. Find the 6th number.
The average of 11 numbers is 50. The average of the first 6 numbers is 49 and the average of the last 6 numbers is 52. Find the 6th number.
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Think in terms of deviations from the overall average of 50 rather than working with the raw totals.
Updated On: Jul 8, 2026
- 54
- 55
- 56
- 58
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The Correct Option is C
Solution and Explanation
Sum of all 11 \(=11\times 50=550\). Sum of first 6 \(=6\times 49=294\); sum of last 6 \(=6\times 52=312\). Their total \(294+312=606\) counts the 6th number twice. So the 6th number \(=606-550=56\). Correct option: 56.
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