Standard Error of Data given Variance Calculator

✖Variance of Data in Standard Error is the average of the squared differences between each data point and the mean of the dataset.ⓘ Variance of Data in Standard Error [σ²Error]			+10% -10%
✖Sample Size in Standard Error is the total number of individuals or items included in a specific sample. It influences the reliability and precision of statistical analyses.ⓘ Sample Size in Standard Error [N_(Error)]			+10% -10%

✖Standard Error of Data is the standard deviation of the population divided by the square root of the sample size.ⓘ Standard Error of Data given Variance [SE_Data]

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Formula

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Standard Error of Data given Variance

Formula

`"SE"_{"Data"} = sqrt(("σ"^{"2"}"Error")/"N"_{"(Error)"})`

Example

`"2.5"=sqrt("625"/"100")`

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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 in Standard Error/Sample Size in Standard Error)
SE_Data = sqrt(σ²Error/N_(Error))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Standard Error of Data - Standard Error of Data is the standard deviation of the population divided by the square root of the sample size.
Variance of Data in Standard Error - Variance of Data in Standard Error is the average of the squared differences between each data point and the mean of the dataset.
Sample Size in Standard Error - Sample Size in Standard Error is the total number of individuals or items included in a specific sample. It influences the reliability and precision of statistical analyses.

STEP 1: Convert Input(s) to Base Unit

Variance of Data in Standard Error: 625 --> No Conversion Required
Sample Size in Standard Error: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SE_Data = sqrt(σ²Error/N_(Error)) --> sqrt(625/100)

Evaluating ... ...

SE_Data = 2.5

STEP 3: Convert Result to Output's Unit

2.5 --> No Conversion Required

FINAL ANSWER

2.5 <-- Standard Error of Data

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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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 in Standard Error)+((Standard Deviation of Sample Y^2)/Size of Sample Y in Standard Error))

Standard Error of Data given Mean

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

Standard Error of Proportion

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

Residual Standard Error of Data given Degrees of Freedom

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

Residual Standard Error of Data

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

Standard Error of Data given Variance

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

Standard Error of Data

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

Standard Error of Data given Variance Formula

Standard Error of Data = sqrt(Variance of Data in Standard Error/Sample Size in Standard Error)
SE_Data = sqrt(σ²Error/N_(Error))

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 in Standard Error/Sample Size in Standard Error) to calculate the Standard Error of Data, Standard Error of Data given Variance formula is defined as the standard deviation of the population divided by the square root of the sample size, and calculated using the variance of the data. Standard Error of Data is denoted by SE_Data 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 in Standard Error (σ²Error) & Sample Size in Standard Error (N_(Error)) and hit the calculate button. Here is how the Standard Error of Data given Variance calculation can be explained with given input values -> 0.4 = sqrt(625/100).

FAQ

What is Standard Error of Data given Variance?

Standard Error of Data given Variance formula is defined as the standard deviation of the population divided by the square root of the sample size, and calculated using the variance of the data and is represented as SE_Data = sqrt(σ²Error/N_(Error)) or Standard Error of Data = sqrt(Variance of Data in Standard Error/Sample Size in Standard Error). Variance of Data in Standard Error is the average of the squared differences between each data point and the mean of the dataset & Sample Size in Standard Error is the total number of individuals or items included in a specific sample. It influences the reliability and precision of statistical analyses.

How to calculate Standard Error of Data given Variance?

Standard Error of Data given Variance formula is defined as the standard deviation of the population divided by the square root of the sample size, and calculated using the variance of the data is calculated using Standard Error of Data = sqrt(Variance of Data in Standard Error/Sample Size in Standard Error). To calculate Standard Error of Data given Variance, you need Variance of Data in Standard Error (σ²Error) & Sample Size in Standard Error (N_(Error)). With our tool, you need to enter the respective value for Variance of Data in Standard Error & Sample Size in Standard Error 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 in Standard Error & Sample Size in Standard Error. 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 in Standard Error)
Standard Error of Data = sqrt((Sum of Squares of Individual Values/(Sample Size in Standard Error^2))-((Mean of Data^2)/Sample Size in Standard Error))

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