Average Calculator – Mean, Median, Mode, Range & Statistics Calculator
Calculate average, mean, median, mode, range, and comprehensive statistics from any set of numbers. Our free average calculator handles complex data sets with precision and shows all common statistical measures instantly.
What Is an Average Calculator?
An average calculator computes central tendency measures from a collection of numbers. While "average" commonly refers to the arithmetic mean, our tool calculates multiple statistical measures to give you a complete picture of your data, including median, mode, range, and more.
Statistics We Calculate
| Statistic | Formula | What It Tells You |
|---|---|---|
| Mean (Average) | Sum ÷ Count | The central value of all numbers |
| Median | Middle value | The center point when sorted |
| Mode | Most frequent | The most common value(s) |
| Sum | All values added | Total of all numbers |
| Count | Number of values | How many data points |
| Minimum | Smallest value | Lowest number in set |
| Maximum | Largest value | Highest number in set |
| Range | Max - Min | Spread of your data |
How to Use This Tool
Step 1: Enter Your Numbers
Input numbers in any of these formats:
- Separated by commas:
85, 90, 78, 92, 88 - Separated by spaces:
85 90 78 92 88 - One per line
Step 2: View All Statistics
See mean, median, mode, sum, count, min, max, and range calculated instantly.
Step 3: Copy Results
Use the copy button to transfer any statistic to your clipboard.
Understanding the Statistics
Mean (Arithmetic Average)
The mean is what most people call "the average." Add all numbers together, then divide by how many numbers you have.
Example: (80 + 85 + 90 + 95 + 100) ÷ 5 = 90
Median
The median is the middle value when numbers are sorted. For even counts, it's the average of the two middle values.
Example (Odd count): 78, 85, 90, 92, 95 → Median = 90
Example (Even count): 78, 85, 92, 95 → Median = (85 + 92) ÷ 2 = 88.5
Mode
The mode is the most frequently occurring value. A data set can have:
- One mode (unimodal)
- Multiple modes (bimodal, multimodal)
- No mode (all values equally common)
Range
Range measures the spread of data: Maximum - Minimum
Example: 78, 85, 90, 92, 95 → Range = 95 - 78 = 17
Common Use Cases
Academic
- Grade calculations — Average test scores, assignment grades
- GPA estimation — Convert grades to GPA points
- Class statistics — Analyze student performance
- Research data — Calculate study metrics
Business & Finance
- Sales analysis — Average daily/monthly sales
- Performance metrics — Employee ratings, KPIs
- Financial planning — Average expenses, revenue
- Survey results — Customer satisfaction scores
Sports & Fitness
- Performance tracking — Average scores, times, distances
- Player statistics — Batting averages, shooting percentages
- Training analysis — Workout metrics over time
- Team comparisons — Compare average performance
Personal Use
- Budget tracking — Average monthly spending
- Health metrics — Average weight, steps, calories
- Temperature logs — Average daily/seasonal temps
- Time tracking — Average task duration
Calculation Examples
| Input | Mean | Median | Mode | Range |
|---|---|---|---|---|
| 1, 2, 3, 4, 5 | 3 | 3 | None | 4 |
| 85, 90, 78, 92, 88 | 86.6 | 88 | None | 14 |
| 10, 20, 30, 40, 50, 50 | 33.3 | 35 | 50 | 40 |
| 100, 100, 100, 100 | 100 | 100 | 100 | 0 |
Frequently Asked Questions
What's the difference between mean and median?
Mean is affected by extreme values (outliers). Median is more resistant to outliers. For skewed data, median often better represents the "typical" value.
Example: Incomes of 30K, 35K, 40K, 45K, and 1M.
- Mean: $230K (skewed by the millionaire)
- Median: $40K (better represents typical income)
Which average should I use?
- Mean: Best for normally distributed data without outliers
- Median: Best when outliers exist or data is skewed
- Mode: Best for categorical data or finding most common values
How many decimal places are shown?
Results display up to 2 decimal places by default. The actual precision is maintained internally.
Is there a limit on how many numbers I can enter?
No practical limit. The calculator handles thousands of values efficiently.
Can I enter negative numbers?
Yes! Negative numbers work correctly in all calculations.
Does it handle decimals?
Absolutely. Both input and output support decimal values to any precision.
Mean vs. Median: When It Matters
| Scenario | Use Mean | Use Median |
|---|---|---|
| Symmetric data | ✅ | ✅ |
| Outliers present | ❌ | ✅ |
| Income/wealth | ❌ | ✅ |
| Test scores (no outliers) | ✅ | ✅ |
| Home prices | ❌ | ✅ |
| Normal distribution | ✅ | ✅ |
Pro Tips
- Check for outliers — Compare mean and median; big differences suggest outliers
- Look at the range — Understand how spread out your data is
- Consider the mode — Identifies clusters in your data
- Count matters — Larger samples give more reliable averages
- Document your method — Note which average you used and why
Related Tools
Explore more calculation utilities:
- Percentage Calculator — Calculate percentages
- Grade Calculator — Calculate weighted grades
- Scientific Calculator — Advanced math
- Tip Calculator — Split bills
- Discount Calculator — Sale prices
Enter your numbers above to calculate mean, median, mode, and more statistics instantly. Free, fast, and no sign-up required.