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 add 5 to all the values, then multiply them by 2?

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Quizplus · Accepted Answer

Adding 5 to all values increases the mean by 5, making it 17. Multiplying by 2 doubles the mean to 34 and multiplies the variance by 4 (since variance is affected by the square of the scaling factor), resulting in a variance of 12.

If We Have a Data Set with a Mean of 12