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True or False; Explain answer. If the standard deviation of a data set is 4, then...

True or False; Explain answer. If the standard deviation of a data set is 4, then the variance of the data set is 16?

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Answer #1

Answer

We know that the relationship between standard deviation and variance is given as  

variance = (σ)2

here we have standard deviation = sigma = 4

setting the value, we get

variance = (σ)2 = (4)--4 * 4-16

So, it is correct statement that when the standard deviation is 4, then the variance is 16.

Answer is TRUE

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