The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.
The correct answer is D. 110
Let's find the sixth number in the set given that the mean of a set of six numbers is 60 and the mean of the first five is 50. Let x be the sixth number. The sum of the first five numbers is 5 50 = 250.
The sum of all six numbers is 6 60 = 360. So, we have 250 + x = 360, which means x = 360 - 250 = 110. So, the sixth number in the set is 110.
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