Question

Which formula is used to calculate the standard deviation of sample data?

Answer 1

Answer:

$s=\sqrt{\frac{\sum (x_{i} -\mu)^{2} }{N-1} }$

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

$s=\sqrt{\frac{\sum (x_{i} -\mu)^{2} }{N-1} }$

Where $\mu$ is the sample mean and $N$ is the total number of values there are.

In the formula you can notice the difference between each value ($x_{i}$) and the mean ($\mu$), That's why the standard deviation is commonly use to measure variation.

Therefore, the answer is

$s=\sqrt{\frac{\sum (x_{i} -\mu)^{2} }{N-1} }$