Calculate the standard deviation of a set of numbers.
The Standard Deviation Calculator is used to calculate the mean, variance, and standard deviation of a set of numbers (Step by Step).
Standard deviation is a widely used measurement of variability or diversity used in statistics and probability theory. It shows how precise your data is.
The standard deviation is the square root of its variance. A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
Variance and standard deviation depend on the mean of a set of numbers. Calculating them depends on whether the set is a population or sample.
The population standard deviation is measures the variability of data in a population. It is usually an unknown constant. The variance σ2 and standard deviation σ of the population are given by:
[画像:Population Standard Deviation Formula]
[画像:Population Variance Formula]
Where:
σ = population standard deviation
σ2 = population variance
x1, ..., xN = the population data set
μ = mean of the population data set
N = size of the population data set
The sample standard deviation is an estimate, based on a sample, of a population standard deviation. The variance s2 and standard deviation s of the sample are given by:
[画像:Sample Standard Deviation Formula]
Where:
s = sample standard deviation
s2 = sample variance
x1, ..., xN = the sample data set
x̄ = mean value of the sample data set
N = size of the sample data set
Reference this content, page, or tool as:
"Standard Deviation Calculator (High Precision)" at https://MiniWebtool.com/standard-deviation-calculator/ from MiniWebtool, https://MiniWebtool.com/
You can also try our AI Math Solver GPT to solve your math problems through natural language question and answer.
MiniWebtool
If you like Standard Deviation Calculator (High Precision), please consider adding a link to this tool by copy/paste the following code:
Preview
Standard Deviation Calculator (High Precision) ©MiniWebtool.com
EMBED THE WIDGET
EMBED OPTIONS
Change Title:
Width: 380px.
Tip: The widget is responsive to mobile devices. If the set width is larger than the device screen width, it will be automatically adjusted to 100% of the screen width. On the preview mode the width is limited to 500. You can change data-width to any value based on your website layout.
By embedding MiniWebtool widgets on your site, you are agreeing to our Terms of Service.
