The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth number?56745742
Question
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth number?56745742
Solution
Sure, let's solve this step by step:
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The average of 11 results is 50, so the total sum of these 11 results is 50 * 11 = 550.
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The average of the first six results is 49, so the total sum of these six results is 49 * 6 = 294.
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The average of the last six results is 52, so the total sum of these six results is 52 * 6 = 312.
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The sixth result is counted in both the first six results and the last six results. So, to find the sixth result, we add the total of the first six results and the total of the last six results, and then subtract the total of all 11 results.
So, the sixth result is 294 + 312 - 550 = 56.
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