Respuesta :
Answer:
[tex]s=\sqrt{\frac{\sum (x_{i} -\mu)^{2} }{N-1} }[/tex]
Step-by-step explanation:
In statistics, the standard deviation is a measure about the amount of variation of a dataset.
The variation is measured through comparison between each data and the mean of the dataset. This way, we could get a numerical information about how far are those values form the mean (which represents the central value).
The formula to find the standard deviation of a sample is
[tex]s=\sqrt{\frac{\sum (x_{i} -\mu)^{2} }{N-1} }[/tex]
Where [tex]\mu[/tex] is the sample mean and [tex]N[/tex] is the total number of values there are.
In the formula you can notice the difference between each value ([tex]x_{i}[/tex]) and the mean ([tex]\mu[/tex]), That's why the standard deviation is commonly use to measure variation.
Therefore, the answer is
[tex]s=\sqrt{\frac{\sum (x_{i} -\mu)^{2} }{N-1} }[/tex]
