Discussion
If each observation of a data set is multiplied by 3, the mean of the new data set is:
Answer: B
The mean is a linear function of the data, so multiplying every observation by 3 multiplies the mean by 3.
\[ \frac{\sum 3x_{i}}{n} = 3 \times \frac{\sum x_{i}}{n} \]
The variance, by contrast, would be multiplied by 9.
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