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The average was given as 27, and the quantity of numbers was given as 8. The sum WILL be . You do not know the values of each of the eight numbers. They might be any values, just requiring that when all eight are summed, and the sum is then divided by 8, the resulting average be 27. The eight different numbers might be anything or they could just as well EACH be 27; either way, you know the average value, 27, and you know how many values, 8; and so the sum of these eight values is , or .