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.
Question 1 Report
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.
Answer Details
The mean of a set of six numbers is 60. Therefore, the sum of the six numbers is 6 x 60 = 360.
The mean of the first five is 50. Therefore, the sum of the first five numbers is 5 x 50 = 250.
To find the sixth number, we can subtract the sum of the first five numbers from the sum of all six numbers:
6th number = sum of all six numbers - sum of the first five numbers
6th number = 360 - 250
6th number = 110
Therefore, the sixth number in the set is 110.
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