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The mean of 6, 6, __, 11 and 12 is 9. What is the missing number?

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Answer:

missing number = 7

Explanation:

The mean is the average of a set of data points and we find it by dividing the sum of all the data points by the total number of points.

We can allow m to represent the unnown number. Since there are 4 data points in all and we know that the mean is 9, we cause the following formula to solve for m, the missing number:

9 = (6 + m + 11 + 12) / 4

36 = m + 29

7 = m

Thus, in order to have a mean of 9 given the data set already contains the numbers 6, 11, and 12, the value of the missing number must be 7

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