Respuesta :
We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.
Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.
[tex]\text{ Variance}=\sigma^{2}\\ =15^{2}=225[/tex]
Therefore, our variance is 225.
The value of the variance whose standard deviation of a group of 20 scores is 15 is 225.
What is a variance?
The variance is the square root of the standard deviation. Therefore, the relationship can be written as,
[tex]\sigma ^2 = \rm v[/tex]
As we know that the value of the standard deviation of a group of 20 scores is 15, therefore, we can write the value of the variance can be written as,
[tex]\rm v = \sigma ^2 \\\\\rm v = (15)^2\\\\v = 225[/tex]
Hence, the value of the variance whose standard deviation of a group of 20 scores is 15 is 225.
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