Statistics
Statistics Calculator
Paste or type a numeric dataset and get count, mean, median, variance, and standard deviation together.
Paste any numeric dataset to get count, central tendency, and variability in one pass.
Descriptive statistics
Sample variance = Σ(x − x̄)² / (n − 1) Population variance = Σ(x − μ)² / n
The panel lists both sample and population metrics so you can match classroom or professional conventions.
How to use
- Enter numbers separated by commas, spaces, or new lines.
- Toggle between sample or population mode to change the denominator.
- Read the summary card for central tendency and spread values instantly.
Example
Input: Data = 12, 14, 18, 20, 26
Output: Sample σ ≈ 5.20, Population σ ≈ 4.65, Mean = 18
Student-friendly breakdown
This walkthrough emphasizes the most searched ideas for Statistics Calculator: statistics calculator, variance calculator, standard deviation calculator, probability calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.
Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic — each one is a quick way to double-check your work or handle a related question without starting from scratch.
Deep dive & study plan
Statistics Calculator: Finds mean, median, variance, and standard deviation for a dataset. It's built around mean, median, variance, standard deviation, so you can go from a raw question to a checked answer without switching tools.
The math behind it: The panel lists both sample and population metrics so you can match classroom or professional conventions. The core relationship is Sample variance = Σ(x − x̄)² / (n − 1) Population variance = Σ(x − μ)² / n, shown above the calculator so you can see exactly how your inputs turn into the result.
To use it well: (1) Enter numbers separated by commas, spaces, or new lines. (2) Toggle between sample or population mode to change the denominator. (3) Read the summary card for central tendency and spread values instantly. Keep your units consistent as you go, and re-run a case you already know the answer to — it's the fastest way to catch a typo before it throws off a result you're relying on.
Worked example: entering Data = 12, 14, 18, 20, 26 returns Sample σ ≈ 5.20, Population σ ≈ 4.65, Mean = 18. Try swapping in your own numbers next, especially a case you're unsure about, before you use this for something that matters.
Quick retention checklist
- Speak the formula aloud (or annotate it) so the relationships stick.
- Write each step in your own words and compare with the numbered list above.
- Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
- Check at least one related calculator below — it's the fastest way to confirm your numbers still line up from a different angle.
FAQ & notes
How are blanks or text handled?
Non-numeric entries are ignored so pasted spreadsheets or notes do not disrupt the calculations.
What is the difference between sample and population mode?
Sample mode divides by n − 1 to remove bias when working with a subset, while population mode divides by n for complete datasets.
What formula does the Statistics Calculator use?
The panel lists both sample and population metrics so you can match classroom or professional conventions.
How do I use the Statistics Calculator?
Enter numbers separated by commas, spaces, or new lines. Toggle between sample or population mode to change the denominator. Read the summary card for central tendency and spread values instantly.