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Standard Error (SE)
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Sample Size
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Mean
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Std. Deviation
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Formula: SE = σ / √n
The Standard Error Calculator is a free online tool that helps you calculate the standard error of a sample mean using the formula:
Standard Error (SE) = σ / √n
Where:
σ = sample standard deviation
n = sample size
Where:
σ = sample standard deviation
n = sample size
Why Use a Standard Error Calculator?
Standard error (SE) measures how much the sample mean of the data is likely to differ from the true population mean. It plays a key role in statistics and confidence intervals. This calculator makes the process fast and error-free.
How to Use It
- Enter the standard deviation of your sample
- Enter the sample size
- Get the result instantly – the standard error
Example
Suppose you have a sample standard deviation of 10 and a sample size of 25:
SE = 10 / √25 = 10 / 5 = 2
So, the standard error is 2.
Applications of Standard Error
- Estimating confidence intervals
- Hypothesis testing
- Comparing sample means
- Understanding the precision of a sample statistic
Benefits of This Calculator
- Quick and accurate results
- Simple and user-friendly
- Great for students, researchers, and data professionals
- No need for manual calculations
Conclusion
The Standard Error Calculator is a helpful tool for anyone working with statistics. Whether you're doing a project, analyzing data, or studying for exams, this tool saves time and gives you reliable results in seconds.