Find the mean, median, mode and range of a list of numbers, or compute a weighted average from custom values and weights — instantly.
Enter a list of numbers to see the mean, median, mode and range
Enter at least one value and weight to compute the weighted average
This free average calculator finds the mean, median, mode, range, minimum, and maximum of any list of numbers, and computes a weighted average when some values should count more than others. The "average" people usually mean is the arithmetic mean — add everything up and divide by how many values there are — but a single mean can hide a lot about a dataset's real shape, which is why this tool also surfaces the median, mode, and range alongside it. Whether you're averaging test scores, computing a weighted GPA, or summarizing a business dataset, this mean calculator shows every relevant statistic at once, not just one number.
The Simple Average tool takes a list of numbers and returns the mean, count, sum, median, mode, range, minimum, and maximum in one pass. The Weighted Average tool takes a set of value/weight pairs — add or remove rows as needed — and returns the weighted average along with the sum of the weighted products and the sum of the weights.
Students and teachers averaging grades or test scores, analysts summarizing survey or sales data, coaches tracking athlete performance statistics, finance professionals computing a weighted average cost basis, and anyone who needs to combine several measurements into one representative figure can all use this tool.
A single average condenses many data points into one comparable number, which is why averages appear everywhere from report cards to economic indicators. But different averages answer different questions: the mean reflects the overall total, the median reflects the "typical" middle value that resists distortion by outliers, and the mode reveals the most common value. Weighted averages go further, letting some data points count more heavily — a heavier-weighted course credit or a larger sample size should influence the result more than a lightly-weighted one.
Teachers and students compute weighted GPAs where credit hours weight each course's grade. Businesses average sales, ratings, and survey responses, checking the median or mode when outliers might skew the mean. Sports analysts calculate batting averages and per-game statistics. Investors calculate a weighted average cost basis when buying shares at different prices and quantities. Quality-control teams track the mean and range of measurements to detect process drift.
How this average calculator turns a list of numbers into a full statistical summary
The arithmetic mean treats every data point the same, which is why a single very large or small value can pull it noticeably away from the "typical" value.
Because the median only depends on the position of the middle value(s) after sorting, extreme outliers barely move it — useful for skewed data like incomes or home prices.
A weighted average is a mean where each value is multiplied by its own importance factor before summing, so a higher-weighted value shifts the result more.
From entering numbers to reading the full statistical summary
Choose Simple Average for one list of numbers, or Weighted Average when some values matter more than others.
For Simple Average, type or paste your numbers separated by commas, spaces, or new lines.
For Weighted Average, enter each value with its weight, adding or removing rows as needed.
The calculator instantly computes the mean, median, mode, range, min, and max, or the weighted average.
Review every statistic shown, not just the mean, to understand the full shape of your data.
Manually add and divide a small dataset, or recompute the weighted sum by hand, to confirm the result.
Comparing a simple average to a credit-weighted average for three course grades
Three course grades are 85, 90, and 75. If the courses carry credit weights of 2, 3, and 1, how does the weighted average compare to the plain (unweighted) average?
Explanation: The two averages differ because weighting shifts influence toward the higher-credit course. This is exactly how a GPA works — a 4-credit A pulls a GPA up more than a 1-credit A would, since credit hours act as the weights in the same Σ(value × weight) ÷ Σ(weight) formula.
What each statistic actually tells you about your data
| Statistic | What It Means | Example Reading |
|---|---|---|
| Mean | The arithmetic average — total divided by count | 4,8,15,16,23,42 → mean = 18 |
| Median | The middle value once sorted; resistant to outliers | Same list → median = 15.5 |
| Mode | The most frequently repeated value, or "No mode" if none repeats | All unique → No mode |
| Range | The spread between the largest and smallest value | 42 − 4 = 38 |
| Weighted Average | The mean adjusted so higher-weighted values count more | 515 ÷ 6 ≈ 85.833333 |
| Sum of Weights | The total weight used as the denominator of the weighted average | 2+3+1 = 6 |
Reading the gap between mean and median: if the mean is noticeably higher or lower than the median, your data is likely skewed by one or more outliers pulling the mean in that direction.
Typical ranges: a range of 0 means every value in the list is identical; a mode equal to "No mode" simply means no value repeats, which is normal for continuous or highly varied data.
Manual verification: re-add a small dataset by hand and divide by the count to confirm the mean, or re-multiply each weighted-average value by its weight and re-sum to confirm the weighted result.
Where a fast, complete statistical summary is genuinely useful
Average test scores or compute a credit-weighted GPA from course grades.
Average scores across multiple practice tests to track improvement over time.
Average sales, ratings, or survey responses, checking the median for skew.
Compute batting averages, scoring averages, or per-game performance metrics.
Calculate a weighted average cost basis for shares bought at different prices.
Track the mean and range of measurements to spot process variation.
Summarize average daily, monthly, or seasonal temperature or rainfall readings.
Average salary data across roles, or weight it by headcount per role.
Summarize response scores and identify the most common (modal) answer.
Compute a weighted average return across assets of different sizes.
Average unit costs across purchase batches, weighted by quantity purchased.
Summarize a numeric feature's central tendency before further analysis.
Average daily steps, heart rate, or workout metrics over a week or month.
What this average calculator does well, and where manual judgment is still needed
Three different ways to describe a "typical" value
| Measure | Definition | Best Used When |
|---|---|---|
| Mean | Sum of all values divided by the count | Data is evenly distributed with no extreme outliers |
| Median | The middle value once the data is sorted | Data is skewed or contains outliers (e.g. incomes, home prices) |
| Mode | The most frequently occurring value | You want the single most common result, especially for repeated or categorical data |
Summary: This average calculator gives you an instant, free way to find the mean, median, mode, and range of a list of numbers, or compute a weighted average from custom values and weights — all in one place. Pair it with related tools like the Standard Deviation Calculator and Median & Mode Calculator for a fuller statistical picture.
Common questions about averages and weighted averages
Trusted educational references to go deeper on averages and basic statistics
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