Statistics Calculator: Standard Deviation

Use this calculator to compute the standard deviation from a set of numerical values.

Data is from: Population Sample

Standard Deviation Calculator Instructions

This calculator computes the standard deviation from a data set:

Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. You may also copy and paste data into the text box. Press the "Submit Data" button to perform the computation. To clear the calculator and enter a new data set, press "Reset".

What is the standard deviation

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

This calculator uses the following formulas for calculating standard deviation:

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.

Another Calc

1mm to meter lcm fraction calculator 5 number summary box plot calculator foot to metre calculator 2 meter equals how many feet variance in grouped data box plot in excel how to turn mixed numbers into fractions conversion of meters to hectares skewed box plot how much is 1 metric ton in kgs 25 mm is equal to how many inches multiplying fractions in lowest terms calculator matter measured in grams or kilograms square feet to meter conversion formula convert square miles to kilometers 125 as a fraction in simplest form meters to millimeters chart square meters to square feet formula how many cm in 50mm how many troy ounces in a kilo graphing a scatter plot celsius to centigrade converter meter to sq yard square meters convert to square feet symbol of decimeter square meter to square feet conversion online 100 cm equals how many inches how to turn a improper fraction into a fraction calculator for fractions and mixed numbers sqm to gaj converter online calculator with fractions and whole numbers calculate percentile calculator converter sq ft to sq meter convert square inches to square feet calculator how do you reduce fractions on a calculator