Mean, Median, Mode, Range Calculator

Calculate statistical measures

Statistical Analysis

Mean, Median, Mode, Range Calculator

Calculate statistical measures for your data set. Essential for data analysis, statistics, and research.

How to Use Mean, Median, Mode, Range Calculator

  1. 1.**Enter numbers** separated by commas
  2. 2.**Click "Calculate Statistics"** to get results
  3. 3.**View all measures**: mean, median, mode, range, count, sum
  4. 4.**Analyze your data** with comprehensive statistics

Features

  • **Multiple Measures**: Mean, median, mode, range, count, sum
  • **Easy Input**: Comma-separated numbers
  • **Real-time Results**: Instant statistical calculations
  • **Data Validation**: Handles invalid inputs gracefully

Statistical Measures

Mean (Average)

Sum of all values divided by count

Mean = Σx / n

Median

Middle value when data is sorted

  • **Odd count**: Middle value
  • **Even count**: Average of two middle values

Mode

Most frequently occurring value(s)

  • **No mode**: All values occur equally
  • **Multiple modes**: More than one value ties

Range

Difference between maximum and minimum values

Range = Max - Min

Common Applications

  • **Education**: Grade analysis, test scores
  • **Finance**: Stock prices, market analysis
  • **Science**: Experimental data, measurements
  • **Quality Control**: Product specifications, tolerances
  • **Sports**: Performance statistics, rankings

Tips for Using Statistics Calculator

  • **Separate numbers with commas** for proper parsing
  • **Include all relevant data points** for accurate results
  • **Check for outliers** that might skew results
  • **Consider the context** when interpreting results
  • **Use appropriate measure** for your specific needs

Example Data Sets

  • **Test Scores**: 85, 92, 78, 95, 88, 91, 83
  • Mean: 87.4, Median: 88, Mode: none, Range: 17
  • **Daily Temperatures**: 72, 75, 71, 78, 74, 73, 76
  • Mean: 74.1, Median: 74, Mode: none, Range: 7
  • **Sales Data**: 120, 150, 120, 180, 150, 120
  • Mean: 140, Median: 150, Mode: 120, Range: 60

When to Use Each Measure

  • **Mean**: When data is normally distributed, no outliers
  • **Median**: When data has outliers or is skewed
  • **Mode**: When you need most common value
  • **Range**: Quick measure of data spread
  • **All together**: Complete picture of data distribution

Statistical Concepts

  • **Central Tendency**: Mean, median, mode measure center
  • **Dispersion**: Range measures spread of data
  • **Sample Size**: Larger samples give more reliable results
  • **Distribution**: Shape and pattern of data values