The three types of average: Mean (add all values, divide by count), Median (middle value when sorted), Mode (most frequent value). Example set: 2, 4, 4, 6, 8. Mean = (2+4+4+6+8)/5 = 4.8. Median = 4 (middle of sorted list). Mode = 4 (appears twice, all others once). Each average has different uses and sensitivity to outliers.
📂 Math
📊 Mean, Median, Mode Calculator
Calculate mean, median, mode, range, and standard deviation for any set of numbers. Perfect for statistics students, researchers, and data analysts.
✏️ Enter Your Values
✨ Your Result
🦉Owl's Explanation
📊
Fill in the values above and click Calculate ✨
✅ Trusted Tool
Uses standard statistical formulas. Free for students and researchers. No sign-up needed.
🤔 How Does This Work?
Mean = Sum / Count
Median = middle value of sorted array
Mode = most frequent value(s)
Also calculates range, variance, standard deviation
❓ Frequently Asked Questions
When should I use median instead of mean?▼
Use median when data has outliers or is skewed. Example: average house price. If 9 houses cost 5 million and 1 cost 50 million, mean = 9.5 million (misleading), median = 5 million (representative). Income statistics often use median for this reason. Mean works best for normally distributed data without extreme outliers.
What if there is no mode?▼
If every number appears exactly once, there is no mode. If multiple numbers tie for most frequent, all are modes (bimodal, trimodal, etc.). For example: 1, 2, 2, 3, 3 has two modes: 2 and 3 (bimodal distribution). Mode is most useful for categorical data or discrete values.
Use median when data has outliers or is skewed. Example: average house price. If 9 houses cost 5 million and 1 cost 50 million, mean = 9.5 million (misleading), median = 5 million (representative). Income statistics often use median for this reason. Mean works best for normally distributed data without extreme outliers.
What if there is no mode?▼
If every number appears exactly once, there is no mode. If multiple numbers tie for most frequent, all are modes (bimodal, trimodal, etc.). For example: 1, 2, 2, 3, 3 has two modes: 2 and 3 (bimodal distribution). Mode is most useful for categorical data or discrete values.