| Count (n) | hesaplanacak |
|---|---|
| Mean (Average) | hesaplanacak |
| Population Std Dev (σ) | hesaplanacak |
| Sample Std Dev (s) | hesaplanacak |
| Variance | hesaplanacak |
| Min – Max | hesaplanacak |
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What Is Standard Deviation?
Standard deviation (SD) measures how spread out values in a dataset are around the mean. A low SD means values cluster closely around the average; a high SD means values are more spread out. It is one of the most important measures in statistics, science, finance, and quality control.
Population vs Sample Standard Deviation
- Population SD (sigma): Divide by N. Use when you have data for the entire population.
- Sample SD (s): Divide by N-1. Use when your data is a sample from a larger population. This correction (Bessel's correction) reduces bias.
Calculation Steps
- Find the mean: sum all values divided by count
- Subtract the mean from each value, then square the result
- Find the average of those squared differences (variance)
- Take the square root of the variance to get standard deviation
Example
Dataset: 2, 4, 4, 4, 5, 5, 7, 9
- Mean: 5.0
- Variance: 4.0
- Standard deviation: 2.0
Interpreting Standard Deviation
For a normal distribution (bell curve), approximately:
- 68% of data falls within 1 SD of the mean
- 95% within 2 SDs
- 99.7% within 3 SDs
How to Use This Calculator
Using our calculator is simple: enter the required values into the input fields and click the calculate button. Results are displayed instantly on screen. You can adjust the values and recalculate to compare different scenarios and find the best option for your situation.
Frequently Asked Questions
| Question | Answer |
|---|---|
| How accurate are the results? | We use standard formulas and up-to-date 2025 rates. Individual circumstances may vary slightly. |
| Is this calculator free? | Yes, completely free and no registration required. |
| What should I do for exact figures? | For precise information, consult a relevant professional or official authority. |
| Does it work on mobile devices? | Yes, it works seamlessly on all devices and screen sizes. |
Important Notes
This calculator is provided for informational purposes only. For legal, financial, or medical decisions, always seek advice from qualified professionals. Calculation results do not constitute official documents. Legislative changes may affect results; please visit the relevant official website for the most up-to-date information. Our calculators are regularly updated to reflect current regulations and rates.
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