Math
Instant, private, and free
Statistics Calculator.
Calculate mean, median, mode, range, variance, and standard deviation
Set your values
Results update as you type.
Count
6
Sum
121.0000
Mean
20.1667
Median
19.0000
Mode
18
Range
17.0000
Minimum
12.0000
Maximum
29.0000
Variance (Sample)
33.7667
Std. Deviation
5.8109
FAQs
Can I enter values separated by commas or spaces?
Yes. The calculator accepts commas, spaces, semicolons, and line breaks.
Does this use sample or population variance?
This tool reports sample variance and sample standard deviation by default.
Cite this calculator
Canonical URL: https://mathify.one/en/math/statistics
Cite as: Mathify. (2026). Statistics Calculator. https://mathify.one/en/math/statistics
Use Cases
Analyze test scores
Enter a set of exam scores to quickly see the average, middle value, most common score, and spread, helping you understand class performance.
Example: Scores: 78, 85, 92, 85, 70 → mean=82, median=85, mode=85, range=22
Evaluate business metrics
Input monthly sales figures or customer satisfaction ratings to get a clear picture of central tendency and variability, aiding in decision-making.
Example: Monthly sales: 12000, 15000, 11000, 16000, 14000 → mean=13600, std dev≈2087
Frequently Asked Questions
- How do I use the statistics calculator?
- Enter your dataset as a list of numbers separated by commas or spaces. The calculator will compute the mean, median, mode, range, variance, and standard deviation for you.
- What is the difference between variance and standard deviation?
- Variance measures the average squared deviation from the mean, while standard deviation is the square root of variance. Standard deviation is in the same units as the data, making it easier to interpret.
- Can I use this calculator for sample data?
- Yes, the calculator computes both sample variance and standard deviation (using n-1) and population variance and standard deviation (using n), so you can choose the appropriate one for your data.
Tips & Common Mistakes
Tips
- Ensure your data is numeric and separated by commas or spaces for accurate calculation.
- If your dataset has an even number of values, the median is the average of the two middle numbers.
- Use the population variance when your data represents the entire group; use sample variance when it's a sample from a larger population.
- Check for outliers, as they can significantly affect the mean and standard deviation.
Common Mistakes to Avoid
- Including non-numeric characters like currency symbols or units in the input, which can cause errors.
- Confusing sample and population variance; using the wrong one can lead to incorrect conclusions.
- Forgetting that the mode may not exist if no number repeats, or there may be multiple modes.
Last updated: August 13, 2026