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Calculate the standard deviation for the following data set: Data set: 4, 14, 6, 2, 7, 12

Sagot :

Answer:

4.2328083664001

Explanation:

standard deviation is the square root of the variance. It is one of the measures of dispersion, that is a measure of by how much the values in the data set are likely to differ from the mean

Standard deviation formulas

The formula for the standard deviation of a sample is:

$ s =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

where n is the sample size and x-bar is the sample mean.

The formula for the standard deviation of an entire population is:

$ \sigma =\sqrt{\frac{1}{N} \sum_{i=1}^N (x_i-\mu)^2$

where N is the population size and μ is the population mean.

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