Descriptive Statistics Calculator
Calculate Mean, Median, Mode, Range, and more. The complete toolkit for exploratory data analysis.
π How It Works
Paste Data
Auto-Calculate
Get Statistics
Supported Data Formats:
- Comma-separated: 1.5, 2.8, 9.1, 16.2
- Space-separated: 1.5 2.8 9.1 16.2
- Newline-separated: one number per line
- Scientific notation: 1.23e-4, 5.67E+8
- Series mode: use "Group Name: value1, value2, value3" per line to compare multiple groups
- Automatically ignores text and special characters
Universal Standard (R, Python, Google Sheets)
Linear interpolation method, default standard for modern data science software
Your calculation results and box plot will appear here instantly
Please enter at least 4 numbers above to start calculating
Calculation Results
Basic Statistics
Quartiles
5 Number Summary
Outliers Detected
The following data points are identified as outliers using the method:
Grouped Series Summary
Enter data to generate box plot
Please enter at least 4 numbers above to start calculating
Box Plot Visualization
This box plot visualizes your data distribution. The box shows the interquartile range (IQR) containing the middle 50% of data. The line inside the box represents the median. Whiskers extend to show the range, and red dots indicate outliers.
Outlier Method: Tukey (1.5ΓIQR)
Box (IQR) / Legend
- Box (IQR)
- Median Line
- Whisker
- Outliers
Combined Summary
What are Descriptive Statistics?
Descriptive statistics summarize and organize characteristics of a data set. Unlike inferential statistics, which try to reach conclusions that extend beyond the immediate data alone, descriptive statistics simply describe what the data shows.
Key Measures of Central Tendency
- Mean (Average): The sum of all values divided by the number of values. Sensitive to outliers.
- Median: The middle value when data is sorted. Robust against outliers.
- Mode: The most frequently occurring value in the dataset.
Key Measures of Dispersion (Spread)
- Range: The difference between the Maximum and Minimum values.
- Interquartile Range (IQR): The range of the middle 50% of the data (Q3 - Q1).
- Standard Deviation: Measures the average distance of each data point from the mean.
π‘ Why Use This Calculator?
- β Instant Results: Get Mean, Median, and Range in milliseconds.
- β Visual Context: See your data distribution with an automatic Box Plot.
- β Privacy First: All calculations happen in your browser. No data is uploaded.
π οΈ Related Tools
Frequently Asked Questions
Statistical concepts explained in plain language
Mathematical Formulas
View the standard mathematical formulas behind the calculations
Quartile Calculation (Method 2)
First Quartile (Q1):
Median (Q2):
Third Quartile (Q3):
Interquartile Range & Outlier Detection
Interquartile Range (IQR):
Outlier Boundaries:
Algorithm Explanation
PlotNerd uses the statistically standard "Method 2 (Median Quartile Method)" for quartile calculations, consistent with major statistical software (such as R, SPSS). All calculation results are verified against authoritative platforms to ensure accuracy.