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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