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The mean of 11 results is 30. If the mean of the first 6 results is 28 and that of last 6 results is 32, find the 6th result. |
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Answer» Let the 6th number be x Given that mean of 11 results = 30 ∴ sum of 11 numbers = 11 × 30 = 330 Mean of the first 6 results = 28 Sum of first 6 numbers = 6 × 28 = 168 Mean of the last 6 results = 32 Sum of the last 6 results = 6 × 32 = 192 Therefore, Sum of first 6 numbers + sum of last 6 numbers – 6th number = sum of 11 numbers 168 + 192 - x = 330 ⇒ 360 – x = 330 ⇒ x = 30 |
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