The standard deviation of a dataset is the square root of the variance.
The standard deviation of the same set of data is 4
The variance is given as:
[tex]\sigma^2 = 16[/tex]
Take the square root of both sides to calculate the standard deviation
[tex]\sigma = \sqrt{\sigma^2[/tex]
Substitute 16 for [tex]\sigma^2[/tex].
So, we have:
[tex]\sigma = \sqrt{16}[/tex]
Take the positive square root of 16
[tex]\sigma = 4[/tex]
Hence, the standard deviation of the same set of data is 4
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