Mean, Median, Mode Calculator - Free Online Statistics Calculator
Mean, Median, Mode Calculator
Calculate the mean (average), median (middle value), and mode (most frequent value) of any dataset. Perfect for descriptive statistics analysis.
Enter Your Data
Statistical Results
Mean (Average)
Sum รท Count
Median
Middle Value
Mode
Most Frequent
Data Summary
Step-by-Step Calculation
Frequency Distribution
How to use this calculator
๐ How to Use This Calculator
- Enter your data values in the text area
- Separate numbers with commas, spaces, or line breaks
- Click "Calculate Statistics" to get results
- View mean, median, mode, and frequency distribution
- See step-by-step calculations for each measure
๐ Understanding the Measures
Mean (Average)
The sum of all values divided by the count. Most affected by extreme values (outliers).
Mean = Sum of all values รท Number of values
Median
The middle value when data is sorted. Less affected by outliers than the mean.
For odd count: middle value. For even count: average of two middle values.
Mode
The most frequently occurring value(s). Can have no mode, one mode, or multiple modes.
๐ Real-World Examples
Example 1: Test Scores
Scores: 85, 90, 78, 92, 88, 90, 95
Mean = 88.3, Median = 90, Mode = 90
Example 2: House Prices
Prices (thousands): 250, 300, 275, 900, 285
Mean = 402, Median = 285 (median better represents typical price)
Example 3: Shoe Sizes
Sizes: 8, 9, 9, 10, 9, 11, 9, 10
Mode = 9 (most common size to stock)
๐ก Pro Tips
- โข Use median when data has outliers (extreme values)
- โข Mean is best for normally distributed data
- โข Mode is useful for categorical data or finding the most common value
- โข Always look at all three measures for a complete picture
- โข Check for data entry errors if results seem unusual
โ ๏ธ Common Mistakes to Avoid
- โข Don't rely on mean alone when data has outliers
- โข Remember that mode might not exist or have multiple values
- โข Ensure all data is numeric - text will be ignored
- โข Check for duplicate entries if unintended
- โข Don't confuse median (middle value) with mean (average)
About this calculator
Calculate mean (average), median (middle value), and mode (most frequent) instantly. Includes step-by-step solutions and data visualization.
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