Descriptive Statistics Calculator
The complete statistics toolkit. Compute mean, median, mode, range, IQR, variance, standard deviation, five-number summary, fences, outliers, and box plot — all from one data entry.
🧮 Calculate Now
📖 How to Use
Step 1: Enter your numbers separated by commas or spaces. Click "Example" for a demo dataset.
Step 2: Click "Calculate" for instant results with box plot and interpretation.
Step 3: Use "Copy" or "CSV" to export results. Click "Recalculate" to try new data.
What Are Descriptive Statistics?
Descriptive statistics summarize the main features of a dataset. They include measures of central tendency (mean, median, mode), measures of spread (range, IQR, variance, standard deviation), the five-number summary (min, Q1, median, Q3, max), and outlier detection. This all-in-one calculator computes everything simultaneously.
When to Use This Calculator
Use this calculator when you need a complete statistical profile of your data in one step. It is ideal for exploratory data analysis, homework assignments, quality control, and any situation where you want to understand your data's center, spread, shape, and potential outliers before proceeding with deeper analysis.
Understanding the Output
The results are organized into four groups: Five Number Summary (min through max), Spread (range and IQR), Outlier Analysis (fences and flagged values), and Descriptive Statistics (mean, mode, variance, SD, count, sum). The box plot and interpretation provide visual and verbal summaries.
❓ Frequently Asked Questions
What statistics should I report?
For symmetric data: mean and SD. For skewed data: median and IQR. For a complete picture: the five-number summary. Always report N.
Is my data normally distributed?
Compare mean and median — if they are close, the data may be approximately normal. Check the box plot for symmetry. For a formal test, use software to run a Shapiro-Wilk test.
🔗 Related Calculators
📊 5 Number Summary
Min, Q1, Median, Q3, Max
📈 Statistics (All-in-One)
Complete descriptive statistics
🔢 Quartile Calculator
Find Q1, Q2, Q3
📏 IQR Calculator
Interquartile range & fences
🎯 Outlier Detection
Find outliers with IQR method
📦 Box Plot
Visual box-and-whisker diagram
➗ Mean Calculator
Arithmetic average
📐 Standard Deviation
Sample & population SD