The variance for the sample is 25
For given question,
We have been given the sample size n = 21
and the sum of squares is SS = 500
We need to find the variance for the sample.
We know that the variance is mathematically represented as,
[tex]\sigma^2=\frac{SS}{n-1}[/tex]
Substituting given values in the above formula,
[tex]\Rightarrow \sigma^2\\\\=\frac{500}{21-1}[/tex]
= 500 / 20
= 25
So, the variance is 25
Therefore, the variance for the sample is 25
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