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Why does the formula use “n – 1” in the denominator?



The data is a sample and is expected to be more dispersed from the mean.


The data is a sample and is expected to be less dispersed from the mean.


The data is a population and is expected to be more dispersed from the mean.


The data is a population and is expected to be less dispersed from the mean.

Respuesta :

The answer is A. The data is a sample, so you can determine every answer with the word 'population' in it to be wrong. 

Answer with explanation:

Formula to find variance of Population

     [tex](\sigma)^2=(\text{Variance})^2=\frac{(\text{Each variate in the data set}-\text{Mean of the data set})^2}{\text{total number of variate}}[/tex]

Formula to find variance of a Sample

   [tex](\sigma_{1})^2=(\text{Variance})^2=\frac{(\text{Each variate in the data set}-\text{Mean of the data set})^2}{\text{total number of variate}-1}[/tex]

The meaning of the word Variance, is how dispersed the variate are from mean.

Option A

The data is a sample and is expected to be more dispersed from the mean.