What happens to the mean of the data set {10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set? A. The mean increases by 2. B. The mean increases by 12. C. The mean increases by 0.75. D. The mean increases by 1.75.

C. The mean increases by 0.75.

Step-by-step explanation:

The mean of a data set is given by the sum of all its values, divided by the number of values.

Data set {10, 2, 8, 9, 5, 2, 6}

7 values

Sum: 10 + 2 + 8 + 9 + 5 + 2 + 6 = 42

Mean: 42/7 = 6

Adding number 12 to the data set

Now we have 8 values

The sum is 42 + 12 = 54

The mean is 54/8 = 6.75

This means that the mean increases by 0.75.

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step-by-step explanation:

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