A set of 9 numbers {3, 3, 4, 5, 5, 5, 6, 7, 7} has a mean of 5. Another number is added to the set and the mean becomes 6. What number is added to the set?

A 15

explanation

The total sum of the 9 numbers is 9 × 5 = 45
The total sum of the 10 numbers is 10 × 6 = 60
45 + number added = 60.
Number added is 60 - 45 = 15.

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