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The Mean and Standard Deviation of Six Observations Are 8 and 4, Respectively. If Each Observation is Multiplied by 3, Find the New Mean and New Standard Deviation of the Resulting Observations

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Question

The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations

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Solution

Let the observations be x1, x2, x3, x4, x5, and x6.

It is given that mean is 8 and standard deviation is 4.

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