Free Average Calculator Online
This free online average calculator computes all the key descriptive statistics from your dataset in one click: mean, median, mode, range, sum, count, standard deviation, and variance. Just paste your numbers and hit calculate.
Separate values with commas, spaces, or new lines
Sorted Data
11, 17, 23, 42, 64, 95
Arithmetic Mean
Average of 6 values (sum = 252)
Median
32.5
Mode
No mode
Range
84
Sum
252
Count
6
Std. Deviation
29.5522
Variance
873.3333
Average Calculator Formulas
Measures of Central Tendency
Mean = Σx / N
The arithmetic mean (average) is the most common measure of central tendency. The average calculator also computes median and mode, which are more robust to outliers and skewed distributions respectively.
| Statistic | Formula | Example |
|---|---|---|
| Mean (Average) | Sum / Count | (10 + 20 + 30) / 3 = 20 |
| Median | Middle value of sorted data | {10, 20, 30} → 20 |
| Mode | Most frequent value(s) | {1, 2, 2, 3} → 2 |
| Range | Max − Min | 30 − 10 = 20 |
| Standard Deviation | √(Variance) | √(66.67) = 8.16 |
| Variance | Σ(xᵢ − mean)² / N | ((10-20)²+(20-20)²+(30-20)²)/3 = 66.67 |
Practical Examples
Related Math Tools
Why Use This Free Average Calculator?
- All 8 statistics at once
- Paste any dataset format
- Sorted data display
- Works on mobile
- Always free, no ads
What People Use an Average Calculator For
Academic Grades
Students use the average calculator to compute their GPA, track assignment scores, and figure out what grade they need on the final exam to hit a target average. Paste all your scores and see mean, median, and standard deviation at a glance.
Business & Sales
Sales teams track average deal size, average close time, and revenue variability. If your average deal is $5,000 but the standard deviation is $4,800, your pipeline is unpredictable. The average calculator quantifies this spread instantly.
Sports & Fitness
Athletes track average pace, average heart rate, or average reps per set. A runner who averages 8:30/mile with a low standard deviation is more consistent than one who averages 8:30 but fluctuates between 7:00 and 10:00.
Mean vs. Median vs. Mode: When to Use Each
The average calculator gives you all three, but knowing which one to report matters.
Mean: Best for Symmetric Data
The mean works well when data is roughly symmetric with no extreme outliers. Test scores, temperatures, and manufacturing measurements are good candidates.
Median: Best for Skewed Data
When data has outliers or is skewed (income, house prices, response times), the median is more representative. It is not affected by extreme values. Governments report median household income for this reason.
Mode: Best for Categorical or Discrete Data
The mode identifies the most common value. It is the only measure of central tendency that works for non-numeric data (e.g., most popular color, most ordered dish). For shoe sizes, the mode tells you which size to stock most.
Frequently Asked Questions
Disclaimer: This average calculator is for educational and informational purposes only. It uses population formulas (divides by N). For sample statistics, apply Bessel's correction manually.
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