Use our Statistics Calculator to quickly compute key descriptive statistics such as mean, median, mode, variance, standard deviation, quartiles, and more. It is designed for students, data analysts, researchers, and anyone who needs accurate results fast.
What the Statistics Calculator Computes
The Statistics Calculator streamlines common descriptive calculations so you can focus on interpreting results. Provide a list of numbers and select the measures you need. The tool supports:
- Central tendency: mean and median
- Dispersion: variance, standard deviation, range, and interquartile range (IQR)
- Position: quartiles (Q1 and Q3) using multiple industry-standard methods
- Basics: minimum, maximum, sum, and count
- Mode detection for repeating values
How to Use the Calculator
- Enter your dataset as a comma-, space-, or line-separated list of numbers. Both decimals and negatives are accepted.
- Select whether your data is a sample or a population. This choice affects variance and standard deviation:
- Sample: divides by n ? 1 (unbiased estimator)
- Population: divides by n
- Choose the specific measures to compute. You can select as many as you need.
- Pick a quartile method if computing Q1, Q3, or IQR:
- Tukey (median-of-halves): widely taught in introductory statistics
- Inclusive (Excel PERCENTILE.INC): index = 1 + p × (n ? 1)
- Exclusive (Excel PERCENTILE.EXC): index = p × (n + 1), clipped to data bounds
Finally, set the number of decimal places and click Calculate Statistics. The results will display instantly.
Why These Measures Matter
Central Tendency
The mean summarizes the average value, while the median resists outliers and skewness. Together, they reveal whether a distribution is symmetric or skewed.
Dispersion
Standard deviation and variance quantify spread around the mean. Range captures the extremes, and IQR focuses on the middle 50%—a robust measure less sensitive to outliers.
Position and Shape
Quartiles divide data into quarters, enabling box plots and quick comparisons across groups. By supporting multiple quartile conventions, the Statistics Calculator matches methods used in textbooks, spreadsheets, and statistical software.
Best Practices
- Clean your data before analysis; remove non-numeric entries.
- Use Sample statistics when your numbers represent a subset of a larger population.
- Compare mean and median to assess skew; a large difference suggests outliers.
- Leverage IQR for robust spread and to identify outliers with the 1.5 × IQR rule.
- Report your chosen quartile method for reproducibility.
Example Workflow
Suppose you have test scores: 62, 70, 75, 75, 80, 88, 95. Select Sample to estimate variability for a class sample. Compute mean and median to summarize performance, Q1 and Q3 for a box-plot summary, and IQR to evaluate spread. If variance and standard deviation are needed for confidence intervals or z-scores, the calculator provides both using the correct denominator.
Fast, Accurate, and Private
The Statistics Calculator is optimized for clarity and correctness. It uses reliable formulas for each measure and aligns with common statistical conventions. No sign-in is required, and inputs are not stored, making it a convenient choice for coursework, business insights, and research notes.