Mean Median Mode Range Calculator - Statistics Calculator

A Mean Median Mode Range Calculator is a comprehensive statistical tool that calculates all four fundamental measures of central tendency and dispersion from a single dataset. This calculator instantly computes the mean (average), median (middle value), mode (most frequent value), and range (spread) along with the sum and count of your data points.

These four statistical measures provide different perspectives on your data. The mean gives you the arithmetic average, the median shows the central value resistant to outliers, the mode identifies the most common value, and the range indicates data variability. Together, they offer a complete statistical summary essential for data analysis, research, and decision-making across multiple disciplines.

This calculator is essential for:

• Students and Educators - Learning statistics, solving homework problems, and understanding measures of central tendency and dispersion with practical examples.
• Data Analysts - Performing quick exploratory data analysis, identifying data patterns, and summarizing dataset characteristics before detailed statistical modeling.
• Researchers - Analyzing experimental results, survey data, and research findings with standard statistical measures for publications and presentations.
• Business Professionals - Evaluating sales figures, performance metrics, customer ratings, and financial data to make informed business decisions.
• Quality Control Specialists - Monitoring manufacturing processes, measuring product consistency, and tracking quality metrics in production environments.
• Healthcare Workers - Analyzing patient data, vital signs, test results, and clinical measurements for diagnostic and treatment purposes.

For calculating just the average quickly, try our average calculator with support for multiple values.

For determining required sample sizes in statistical studies, use our sample size calculator for research planning.

To evaluate statistical significance, our p-value calculator helps determine if results are meaningful.

The calculator computes each statistical measure using standard formulas:

The calculation process:

• Step 1: Parse comma-separated input and convert to numeric array
• Step 2: Calculate sum and count for mean calculation
• Step 3: Sort array to find median and identify min/max
• Step 4: Count frequencies to determine mode(s)
• Step 5: Calculate range from sorted array endpoints

• •
  Four Measures in One: Calculate mean, median, mode, and range simultaneously from a single input, eliminating the need for multiple calculations or separate tools.
• •
  Complete Statistical Summary: Provides sum, count, and all central tendency measures for comprehensive dataset analysis in one calculation.
• •
  Handles Any Dataset Size: Works with small datasets of 2-3 numbers or large lists of hundreds of values without performance issues.
• •
  Multimodal Detection: Identifies all modes in bimodal or multimodal distributions, not just the first occurrence, providing complete frequency analysis.
• •
  Flexible Input Format: Accepts comma-separated values with or without spaces, accommodating various data formats including copy-paste from spreadsheets.
• •
  Educational Value: Perfect learning tool for statistics students, showing all calculations simultaneously to understand relationships between different measures.
• •
  Instant Results: Eliminates manual calculations and reduces errors in sorting, counting frequencies, and computing averages for efficient data analysis.

• •
  Outliers Presence: Extreme values significantly affect mean and range but have minimal impact on median. For skewed data, median often better represents the typical value than mean.
• •
  Data Distribution: Symmetric distributions have similar mean and median. In right-skewed data (income, house prices), mean exceeds median. In left-skewed data, median exceeds mean.
• •
  Dataset Size: Small datasets may have unstable means affected by individual values. Larger datasets provide more reliable statistical measures and stable central tendency values.
• •
  Frequency Distribution: Uniform distributions (all values appear once) have no mode. Datasets with repeated values may have one mode (unimodal) or multiple modes (bimodal, multimodal).
• •
  Decimal Precision: Input precision affects calculated mean. More decimal places in input values result in more precise mean calculations, though median and mode are less affected.
• •
  Negative Numbers: Datasets with negative values are handled correctly, but interpretation requires care - negative mean doesn't imply most values are negative, just that negatives outweigh positives.