Mean, Median, Mode & Range Calculator
Calculate statistical measures for your data.
Data Input
Enter numbers separated by commas
Sorted Data:
5, 10, 15, 20, 25, 30, 35
Count: 7 values
Statistical Results
Mean (Average)
20.00
Median
20.00
Mode
No mode
Range
30.00
Additional Stats:
Count: 7
Sum: 140.00
Min: 5.00
Max: 35.00
About This Calculator
The Mean, Median, Mode, and Range Calculator helps you calculate key statistical measures for a dataset. These measures describe the center and spread of your data, providing insights into the distribution and characteristics of your numbers.
Mean is the average, median is the middle value, mode is the most frequent value, and range is the difference between the largest and smallest values. These measures help summarize and understand your data quickly.
Formula & Calculation Method
Statistical Measures:
Mean (Average):
Mean = (Sum of all values) / (Number of values)
Mean = Σx / n
Median:
Middle value when data is sorted
If odd: middle value
If even: average of two middle values
Mode:
Value(s) that appear most frequently
Range:
Range = Maximum value - Minimum value
Mean is sensitive to outliers, while median is robust. Mode shows the most common value(s). Range indicates the spread of the data. Together, these measures provide a comprehensive summary of your dataset.
How to Use This Calculator
- Enter Data: Input your numbers separated by commas (e.g., 5, 10, 15, 20, 25).
- View Results: See calculated mean, median, mode, and range.
- Interpret: Mean shows average, median shows middle, mode shows most common, range shows spread.
- Compare: Compare mean and median to assess skewness of data.
Frequently Asked Questions
What is the difference between mean and median?
Mean is the average (sum divided by count), while median is the middle value when data is sorted. Mean is affected by outliers, while median is more robust. If mean and median differ significantly, the data may be skewed.
Can there be multiple modes?
Yes, if multiple values appear with the same highest frequency, there can be multiple modes (bimodal, trimodal, etc.). If all values appear equally often, there is no mode.
When should I use mean vs median?
Use mean when data is normally distributed and you want the average. Use median when data has outliers or is skewed, as it's less affected by extreme values. Median is preferred for income, house prices, etc.
What does range tell us?
Range indicates the spread or variability of the data. A larger range means more variation, while a smaller range means values are closer together. However, range is sensitive to outliers.
Calculator by
NumCalculators Editorial Team
Multi-disciplinary Expert Team