Standard Error of Data given Variance Calculator

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✖Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.ⓘ Variance of Data [V]			+10% -10%
✖Sample Size is the total number of individuals present in the given sample under investigation.ⓘ Sample Size [N]			+10% -10%

✖Standard Error of Data is the standard deviation of the sample means of different samples inside a single population.ⓘ Standard Error of Data given Variance [σ_μ]

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Formula

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Standard Error of Data given Variance

Formula

`"σ"_{"μ"} = sqrt("V"/"N")`

Example

`"1.341641"=sqrt("18"/"10")`

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Standard Error of Data given Variance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Error of Data = sqrt(Variance of Data/Sample Size)
σ_μ = sqrt(V/N)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Standard Error of Data - Standard Error of Data is the standard deviation of the sample means of different samples inside a single population.
Variance of Data - Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.
Sample Size - Sample Size is the total number of individuals present in the given sample under investigation.

STEP 1: Convert Input(s) to Base Unit

Variance of Data: 18 --> No Conversion Required
Sample Size: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_μ = sqrt(V/N) --> sqrt(18/10)

Evaluating ... ...

σ_μ = 1.34164078649987

STEP 3: Convert Result to Output's Unit

1.34164078649987 --> No Conversion Required

FINAL ANSWER

1.34164078649987 <-- Standard Error of Data

(Calculation completed in 00.000 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Errors Calculators

Standard Error of Difference of Means

Go Standard Error of Difference of Means = sqrt(((Standard Deviation of Sample X^2)/Size of Sample X)+((Standard Deviation of Sample Y^2)/Size of Sample Y))

Standard Error of Data given Mean

Go Standard Error of Data = sqrt((Sum of Squares of Individual Values/(Sample Size^2))-((Mean of Data^2)/Sample Size))

Standard Error of Proportion

Go Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size)

Residual Standard Error of Data given Degrees of Freedom

Go Residual Standard Error of Data = sqrt(Residual Sum of Squares/Degrees of Freedom)

Residual Standard Error of Data

Go Residual Standard Error of Data = sqrt(Residual Sum of Squares/(Sample Size-1))

Standard Error of Data

Go Standard Error of Data = Standard Deviation of Data/sqrt(Sample Size)

Standard Error of Data given Variance

Go Standard Error of Data = sqrt(Variance of Data/Sample Size)

Standard Error of Data given Variance Formula

Standard Error of Data = sqrt(Variance of Data/Sample Size)
σ_μ = sqrt(V/N)

What is Standard Error and it's importance?

In Statistics and data analysis standard error has great importance. The term "standard error" is used to refer to the standard deviation of various sample statistics, such as the mean or median. For example, the "standard error of the mean" refers to the standard deviation of the distribution of sample means taken from a population. The smaller the standard error, the more representative the sample will be of the overall population.
The relationship between the standard error and the standard deviation is such that, for a given sample size, the standard error equals the standard deviation divided by the square root of the sample size. The standard error is also inversely proportional to the sample size; the larger the sample size, the smaller the standard error because the statistic will approach the actual value.

How to Calculate Standard Error of Data given Variance?

Standard Error of Data given Variance calculator uses Standard Error of Data = sqrt(Variance of Data/Sample Size) to calculate the Standard Error of Data, Standard Error of Data given Variance formula is defined as the standard deviation of the sample means of different samples inside a single population, and calculated using the variance of the data. Standard Error of Data is denoted by σ_μ symbol.

How to calculate Standard Error of Data given Variance using this online calculator? To use this online calculator for Standard Error of Data given Variance, enter Variance of Data (V) & Sample Size (N) and hit the calculate button. Here is how the Standard Error of Data given Variance calculation can be explained with given input values -> 1.341641 = sqrt(18/10).

FAQ

What is Standard Error of Data given Variance?

Standard Error of Data given Variance formula is defined as the standard deviation of the sample means of different samples inside a single population, and calculated using the variance of the data and is represented as σ_μ = sqrt(V/N) or Standard Error of Data = sqrt(Variance of Data/Sample Size). Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean & Sample Size is the total number of individuals present in the given sample under investigation.

How to calculate Standard Error of Data given Variance?

Standard Error of Data given Variance formula is defined as the standard deviation of the sample means of different samples inside a single population, and calculated using the variance of the data is calculated using Standard Error of Data = sqrt(Variance of Data/Sample Size). To calculate Standard Error of Data given Variance, you need Variance of Data (V) & Sample Size (N). With our tool, you need to enter the respective value for Variance of Data & Sample Size 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 Error of Data?

In this formula, Standard Error of Data uses Variance of Data & Sample Size. We can use 2 other way(s) to calculate the same, which is/are as follows -

Standard Error of Data = Standard Deviation of Data/sqrt(Sample Size)
Standard Error of Data = sqrt((Sum of Squares of Individual Values/(Sample Size^2))-((Mean of Data^2)/Sample Size))

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