Average Calculator
Calculate the mean, median, mode, and range of a set of numbers.
The Average Calculator computes the key statistical measures for any list of numbers: arithmetic mean (the sum divided by the count), median (the middle value), mode (the most frequent value), and range (max minus min). Enter your values separated by commas and get instant results — no spreadsheet required. These four measures together give you a complete picture of your data distribution. The mean is sensitive to outliers; the median is more robust. Knowing which measure to use in a given context is as important as calculating it correctly.
Average Calculator
Separate values with commas, spaces, or new lines
Formula
Examples
Student Test Scores
Calculate the average for test scores: 85, 92, 78, 95, 88.
→ Mean: 87.6, Median: 88, Mode: None, Range: 17
Monthly Sales Figures
Average monthly sales: $12,000, $15,000, $11,000, $18,000, $14,000, $13,000.
→ Mean: $13,833, Median: $13,500, Range: $7,000
Effect of an Outlier
Team salaries: $45k, $48k, $52k, $50k, $250k (executive). Compare mean vs median.
→ Mean: $89,000 (skewed up by outlier). Median: $50,000 (more representative).
Tips
- ✓Use median instead of mean when your data has extreme outliers — the median resists skewing.
- ✓Mode is most useful for categorical data: which product is most popular, which answer is most common.
- ✓A large difference between mean and median usually signals a skewed distribution.
- ✓For grade calculations, confirm whether your school uses a simple average or a weighted average by credit hours.
Frequently Asked Questions
What is the difference between mean, median, and mode?
Mean: sum of all values divided by the count — affected by outliers. Median: the middle value when sorted — resistant to outliers. Mode: the most frequently appearing value — useful for categorical data.
When should I use median instead of mean?
Use median when your data has extreme outliers or is skewed. Example: average US household income is ~$80K (mean), but median is ~$56K — the mean is pulled up by billionaires. Median gives a better picture of the "typical" household.
What if there are two middle values for the median?
If there is an even count of numbers, the median is the average of the two middle values after sorting. Example: {4, 7, 9, 11} → median = (7+9)/2 = 8.
What is the range?
Range = Maximum value − Minimum value. It measures the spread of the data. A high range indicates high variability; a low range indicates data that clusters tightly together.
What if there is no mode?
If all values appear the same number of times, there is no mode. If two values tie for most frequent, both are modes (bimodal). Three or more modes = multimodal.
What is a weighted average?
A weighted average gives different values different importance. Example: if a final exam (40% weight) and midterm (60% weight) are combined: Weighted Average = (Final × 0.4) + (Midterm × 0.6). GPA calculations use weighted averages based on credit hours.
What is standard deviation?
Standard deviation measures how spread out values are around the mean. A small standard deviation means values cluster near the mean; a large one means they are spread out. It is the square root of the variance.
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