population standard deviation Calculator

Category	Math ↺
Math	Statistics ↺
Statistics	Sampling distribution ↺

✖sum of difference btw ith term and sample mean is the sum of all the terms of difference btw ith term and sample mean ⓘ sum of difference btw ith term and sample mean [Σ ( Xi - μ )]			+10% -10%
✖Number of elements in population is the count of number of elements in the given populationⓘ Number of elements in population [N]			+10% -10%

✖The Standard Deviation is a measure of how spread out numbers are.ⓘ population standard deviation [σ]

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Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 400+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

< 5 Other formulas that you can solve using the same Inputs

Sample standard deviation

Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/(Number of elements in population-1)) GO

Proportionate stratified sampling

proportionate stratified sampling=(Population size of stratum*Number of elements in population)/sample size 1 GO

Sample variance

Variance=((sum of difference btw ith term and sample mean^2)/(Number of elements in population-1)) GO

Variance of population

Variance=(sum of difference btw ith term and sample mean^2)/Number of elements in population GO

Population mean

Mean of data=Sum of observation/Number of elements in population GO

< 10 Other formulas that calculate the same Output

Standard deviation of hypergeometric distribution

Standard Deviation=sqrt((Number of items in sample*Number of success*(Number of items in population-Number of success)*(Number of items in population-Number of items in sample))/((Number of items in population^2)*(Number of items in population-1))) GO

Sample standard deviation

Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/(Number of elements in population-1)) GO

Standard deviation of binomial distribution

Standard Deviation=sqrt((Number of trials)*(Probability of Success)*(1-Probability of Success)) GO

Standard deviation of negative binomial distribution

Standard Deviation=sqrt((Number of success*Probability of Failure )/(Probability of Success)) GO

Standard Deviation

Standard Deviation=sqrt(Sum of square of residual variation/(Number of observations-1)) GO

Standard deviation of geometric distribution

Standard Deviation=sqrt(Probability of Failure /(Probability of Success^2)) GO

Standard Deviation

Standard Deviation=(Pessimistic time-Optimistic time)/6 GO

Standard deviation Using Z-score

Standard Deviation=(Value of A-Mean of data)/Z-score GO

Standard deviation of poisson distribution

Standard Deviation=sqrt(Mean of data) GO

Standard Deviation Of Data

Standard Deviation=(Variance)^2 GO

population standard deviation Formula

Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/Number of elements in population)
σ=sqrt((Σ ( Xi - μ )^2)/N)

More formulas

Mean of sampling distribution of mean GO

Mean of sampling distribution of proportion GO

Standard deviation of proportion GO

Standard deviation of proportion given probability of success GO

variance of proportion GO

variance of proportion given probability of success GO

What is statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.

How to Calculate population standard deviation?

population standard deviation calculator uses Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/Number of elements in population) to calculate the Standard Deviation, The population standard deviation formula is defined by the formula SD = sqrt [ Σ ( Xi - μ )^2 / N ] where Xi is the ith term μ is the population mean N is the population size. Standard Deviation and is denoted by σ symbol.

How to calculate population standard deviation using this online calculator? To use this online calculator for population standard deviation, enter sum of difference btw ith term and sample mean (Σ ( Xi - μ )) and Number of elements in population (N) and hit the calculate button. Here is how the population standard deviation calculation can be explained with given input values -> 0.5 = sqrt((5^2)/100).

FAQ

What is population standard deviation?

The population standard deviation formula is defined by the formula SD = sqrt [ Σ ( Xi - μ )^2 / N ] where Xi is the ith term μ is the population mean N is the population size and is represented as σ=sqrt((Σ ( Xi - μ )^2)/N) or Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/Number of elements in population). sum of difference btw ith term and sample mean is the sum of all the terms of difference btw ith term and sample mean and Number of elements in population is the count of number of elements in the given population.

How to calculate population standard deviation?

The population standard deviation formula is defined by the formula SD = sqrt [ Σ ( Xi - μ )^2 / N ] where Xi is the ith term μ is the population mean N is the population size is calculated using Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/Number of elements in population). To calculate population standard deviation, you need sum of difference btw ith term and sample mean (Σ ( Xi - μ )) and Number of elements in population (N). With our tool, you need to enter the respective value for sum of difference btw ith term and sample mean and Number of elements in population and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Standard Deviation?

In this formula, Standard Deviation uses sum of difference btw ith term and sample mean and Number of elements in population. We can use 10 other way(s) to calculate the same, which is/are as follows -

Standard Deviation=(Pessimistic time-Optimistic time)/6
Standard Deviation=(Variance)^2
Standard Deviation=(Value of A-Mean of data)/Z-score
Standard Deviation=sqrt((Number of trials)*(Probability of Success)*(1-Probability of Success))
Standard Deviation=sqrt((Number of success*Probability of Failure )/(Probability of Success))
Standard Deviation=sqrt(Probability of Failure /(Probability of Success^2))
Standard Deviation=sqrt((Number of items in sample*Number of success*(Number of items in population-Number of success)*(Number of items in population-Number of items in sample))/((Number of items in population^2)*(Number of items in population-1)))
Standard Deviation=sqrt(Mean of data)
Standard Deviation=sqrt((sum of difference btw ith term and sample mean^2)/(Number of elements in population-1))
Standard Deviation=sqrt(Sum of square of residual variation/(Number of observations-1))

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