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Calculator.net
calculator.net › home › math › standard deviation calculator
Standard Deviation Calculator
The equation provided below is the "corrected sample standard deviation." It is a corrected version of the equation obtained from modifying the population standard deviation equation by using the sample size as the size of the population, which removes some of the bias in the equation.
Discussions

Calculating population standard deviation - Statalist
Stata simply refers to "standard deviation", without really mentioning anything about the distinction between sample and population. I can see that I could achieve my goal with some manually input formula, but I struggle to believe that Stata doesn't have a command for doing this. More on statalist.org
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March 30, 2017
Calculating Standard Deviation
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November 22, 2023
[Gen Chem 1: Standard Deviation] Why is my calculated standard deviation different from Excel's?
You calculated the standard deviation of a population. Excel's function calculates the standard deviation of a sample. More on reddit.com
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21
363
November 9, 2023
[Q][D] Why are the central limit theorem and standard error formula so similar?
The CLT is about the sampling distribution of a statistic. The standard error is about the variance (or standard deviation) of a statistic. The similarity is mostly in the context of what I'd characterize as "intro stats" level, where the focus is almost entirely on means of some sort. In that context, "the" CLT (there are variants of it) says that if we're talking about a mean, then the sampling distribution will get closer and closer to a Normal distribution as the sample size increases. That Normal distribution will have a mean and a variance (or standard deviation). The standard deviation of that distribution is the standard error of the sample mean. But the sample mean will have a standard error regardless of whether the sampling distribution of the sample mean is Normal or not. And other statistics than the sample mean have a version of the CLT (with a different standard error). The difference between s and σ is the difference between talking about a sample and talking about the population. When using σ we're talking about the standard deviation of the population, of which s is an estimate. Similarly, σ/√n is the standard error of the sample mean of the population (when taking a sample of size n), but s/√n is an estimate of that value. More on reddit.com
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April 24, 2024

dispersion of the values ​​of a random variable around its expected value

Statistical Techniques for Transportation Engineering
{\displaystyle {\sqrt {2}}\,\sigma }
{\displaystyle \sigma ={\sqrt {4}}=2.}
{\displaystyle {\sqrt {\left(e^{\sigma ^{2}}-1\right)\ e^{2\mu +\sigma ^{2}}}}\,.}
In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its mean. A low standard deviation indicates that the values tend to … Wikipedia
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Wikipedia
en.wikipedia.org › wiki › Standard_deviation
Standard deviation - Wikipedia
6 days ago - As explained above, while s2 is an unbiased estimator for the population variance, s is still a biased estimator for the population standard deviation, though markedly less biased than the uncorrected sample standard deviation. This estimator is commonly used and generally known simply as the "sample standard deviation". The bias may still be large for small samples (N less than 10). As sample size increases, the amount of bias decreases. We obtain more information and the difference between ... For unbiased estimation of standard deviation, there is no formula that works across all distributions, unlike for mean and variance.
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Laerd Statistics
statistics.laerd.com › statistical-guides › measures-of-spread-standard-deviation.php
Standard Deviation | How and when to use the Sample and Population Standard Deviation - A measure of spread | Laerd Statistics
Therefore, you would normally calculate the population standard deviation if: (1) you have the entire population or (2) you have a sample of a larger population, but you are only interested in this sample and do not wish to generalize your findings to the population.
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Standard Deviation Calculator
standarddeviationcalculator.io
Standard Deviation Calculator - Sample/Population
Step 2: Calculate (xi - x̄) by ... + 2.78 + 40 + 5.43 + 113.85 + 21.80 ... Step 4: Divide ∑(xi - x̅)2 with (N-1). ... Step 5: Take the square root of ∑(xi - x̅)2/(N-1) to get the standard deviation....
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Microsoft Support
support.microsoft.com › en-us › office › stdev-p-function-6e917c05-31a0-496f-ade7-4f4e7462f285
STDEV.P function - Microsoft Support
Calculates standard deviation based on the entire population given as arguments (ignores logical values and text).
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DataCamp
datacamp.com › tutorial › sample-standard-deviation
Sample Standard Deviation: The Key Ideas | DataCamp
September 26, 2024 - Sample standard deviation formula. Image by Author. ... Note that when calculating the sample standard deviation, we use n-1 in the denominator to correct the sample bias. This is known as Bessel’s correction. If we were interested in the population standard deviation, we would use n in the ...
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CalculatorSoup
calculatorsoup.com › calculators › statistics › standard-deviation-calculator.php
Standard Deviation Calculator
November 4, 2025 - Take the square root of the population variance to get the standard deviation.
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Study.com
study.com › skill › learn › calculating-population-standard-deviation-explanation.html
Calculating Population Standard Deviation | Algebra | Study.com
April 10, 2021 - Population Standard Deviation: The population standard deviation of the data {eq}a_1,a_2,\cdots , a_n {/eq} is defined to be the average of the squared differences between the data values and the mean of a population:
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JMP
jmp.com › en › statistics-knowledge-portal › measures-of-central-tendency-and-variability › standard-deviation
Standard Deviation
The formula above uses the population size (N) and the population mean (μ). The idea behind the formula is the same as the formula for the sample standard deviation.
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Microsoft Support
support.microsoft.com › en-us › office › stdev-function-51fecaaa-231e-4bbb-9230-33650a72c9b0
STDEV function - Microsoft Support
STDEV assumes that its arguments are a sample of the population. If your data represents the entire population, then compute the standard deviation using STDEVP.
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YouTube
youtube.com › learn2stats
How to Calculate Population Standard Deviation (Step-by-Step) - YouTube
This video, in statistics, shows the tutorial of how to calculate the population standard deviation. First, it goes over the notation differences between the...
Published   December 31, 2020
Views   88K
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Math is Fun
mathsisfun.com › data › standard-deviation.html
Standard Deviation and Variance
The Standard Deviation is a measure of how spread out numbers are. ... The formula is easy: it is the square root of the Variance.
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Statology
statology.org › home › population vs. sample standard deviation: when to use each
Population vs. Sample Standard Deviation: When to Use Each
August 23, 2021 - From the formulas above, we can see that there is one tiny difference between the population and the sample standard deviation: When calculating the sample standard deviation, we divided by n-1 instead of N.
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Simple Book Publishing
open.maricopa.edu › haasstatistics › chapter › 4-5-calculating-standard-deviation
4.6 – Calculating Standard Deviation – Introduction to Statistics and Statistical Thinking
August 8, 2022 - [latex]\text{Population Standard Deviation}=\sigma=\sqrt{\sigma^2}[/latex] [latex]\text{Sample Standard Deviation}=s=\sqrt{s^2}[/latex] Let's continue using the same set of scores with which we have been working: [latex]\text{Sum of Squares (Computational Formula)}=SS=\Sigma X^2-\frac{(\Sigma X)^2}{N}[/latex]
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Cuemath
cuemath.com › data › standard-deviation
Standard Deviation - Formula | How to Calculate Standard Deviation?
To adjust this, the denominator of the sample standard deviation is corrected to be n-1 instead of just n. This is known as Bessel's correction. There are two types of data sets: populations and samples. A population is an entire group that we are interested in studying, while a sample is a smaller group of individuals that is taken from the population. The formulas to calculate the standard deviations of population and sample differ a little.
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KANDA DATA
kandadata.com › home › how to calculate population data standard deviation using excel
How to Calculate Population Data Standard Deviation Using Excel - KANDA DATA
January 20, 2025 - After pressing Enter, the total value will appear. Next, we look at the formula again to divide the summed value by N (where N = 25). Then, take the square root of the result. The obtained value is the population data standard deviation.
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Statalist
statalist.org › forums › forum › general-stata-discussion › general › 1381078-calculating-population-standard-deviation
Calculating population standard deviation - Statalist
March 30, 2017 - There are no built-in functions or -egen- functions that calculate the population standard deviation. In most situations, the sample standard deviation is what is wanted. And it is not hard to transform the sample estimate into the population standard deviation: just multiply by sqrt((N-1)/N).