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Q. The mean of 11 numbers is 35. If the mean of first 6 numbers is 32 and that of the last 6 numbers is 37, find the sixth number.
Given , Sum of 11 numbers = 35 × 11 = 385 Sum of the first 6 numbers = 32 × 6 = 192 and Sum of the next 9 numbers = 37 × 6 = 222 ∴ Sixth number = Sum of the first 6 numbers + Sum of the last 6 numbers – Sum of 11 numbers Sixth number= 192 + 222 – 385 = 29
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