Average Calculator – Mean, Median, Mode and Range
Calculate mean, median, mode, and range for any set of numbers. Enter up to 10 values for a complete statistical summary.
📊 Math📐 Mean = Sum of Values / Count of Values
Value 1
Value 2
Value 3
Value 4
Value 5
Please enter valid values.
Formula & Reference
| Variable | Formula | Units |
|---|---|---|
| Average Calculator – Mean, Median, Mode and Range | Mean = Sum of Values / Count of Values | mean |
Step-by-Step Examples
Example 1
5 Test Scores
85, 90, 78, 92, 88.
- Sum: 433 | Count: 5
- Mean: 86.6 | Median: 88 | Range: 14
✓ Mean: 86.6
Example 2
Even Set
10, 20, 30, 40.
- Mean: 25 | Median: (20+30)/2 = 25 | Range: 30
✓ Mean: 25, Median: 25
Example 3
Skewed Data
1, 2, 3, 100.
- Mean: 26.5 — heavily affected by outlier
- Median: 2.5 — more representative
✓ Mean: 26.5, Median: 2.5
Real-World Applications
Students
Calculate mean, median, mode for any dataset.
Teachers
Demonstrate central tendency measures.
Business
Average sales, scores, and performance data.
Finance
Average prices, returns, and costs.
Common Mistakes to Avoid
⚠️
Mean is affected by outliers
One very high or low value can pull the mean far from most values. Use median for skewed data (e.g., income, home prices).
⚠️
Confusing mean and median
Mean = mathematical average. Median = middle value. For 'average income' questions, median is usually more meaningful.
Frequently Asked Questions
Mean vs median — which to use? ▾
Use mean for symmetric data without outliers. Use median for skewed data (incomes, home prices, test scores with outliers). Median is more resistant to extreme values.
How to calculate median? ▾
Sort the values. If odd count, median is the middle value. If even count, median is the average of the two middle values.
What is the mode? ▾
The most frequently occurring value. A dataset can have no mode, one mode, or multiple modes.
Related Calculators
Formula Explorer connections
Interpretation: This relationship converts, summarizes or checks numerical quantities using standard arithmetic and measurement rules. Assumption: Use consistent units, preserve enough significant digits, and round only the final result unless the method states otherwise.