If we have a data set with a mean of 12 and a variance of 3, what are the new mean and variance if we multiply the values by 2 and then add 5?

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Quizplus · Accepted Answer

When you multiply a dataset by a constant, the mean is also multiplied by that constant, and the variance is multiplied by the square of that constant. Adding a constant to the dataset shifts the mean by that constant but does not affect the variance. Original mean = 12, multiplied by 2 gives 24, plus 5 gives a new mean of 29. Original variance = 3, multiplied by the square of 2 (4) gives a new variance of 12.

If We Have a Data Set with a Mean of 12