An average calculator for mean, median, mode and weighted averages
Paste or type a list of numbers and this average calculator instantly gives the mean, median, mode, range, sum, count, minimum and maximum — plus the geometric and harmonic means when they apply. Switch to weighted mode to average values that don’t all count equally, such as exam components, course credits or portfolio holdings.
Each result comes with the working: the sorted list, which values form the median, how often the mode appears and the exact division behind the mean. That makes it useful for checking statistics homework, analysing survey or sales figures, or simply finding your average score — and nothing you enter leaves your browser.
How to use the Average Calculator
- Choose Mean, median & mode for a plain list, or Weighted average when some values matter more than others.
- For a list, type or paste your numbers separated by commas, spaces or new lines. Copying a column from Excel or Google Sheets works.
- For a weighted average, enter each value and its weight on its own row. Use “Add row” for more items and the × button to remove one.
- Read the mean in the result panel and the other statistics in the tiles beneath it.
- Follow the step-by-step working to see how each figure was found, then press “Copy results” to paste them elsewhere.
Average Calculator features
Nine statistics at once
Count, sum, mean, median, mode, range, minimum, maximum, geometric mean and harmonic mean from a single list.
Handles every kind of mode
Reports one mode, several modes (bimodal or multimodal) or no mode at all, and says how many times each appears.
Weighted averages
Rows of value and weight with a products table, the weighted result and a comparison with the simple mean.
Forgiving input
Mixed separators, negative numbers, decimals and scientific notation are accepted; anything that isn’t a number is listed and skipped.
Working you can follow
Every number is explained, which helps when a teacher wants to see the method as well as the answer.
Mean, median and mode — which average should you use?
The mean adds every value and divides by how many there are. It uses all the data but is pulled by extreme values: if nine people earn ₹40,000 a month and one earns ₹4,00,000, the mean is ₹76,000 — more than almost everyone actually earns.
The median is the middle value once the data is sorted, so outliers barely move it. In the salary example the median is ₹40,000, which describes a typical person far better. That is why house prices and incomes are usually reported as medians.
The mode is the most frequent value. It is the only average that works for categories (the most common shoe size or survey answer) and is handy for spotting the typical case in repetitive data.
| Average | Formula | Best for | Sensitive to outliers? |
|---|---|---|---|
| Mean | Σx ÷ n | Symmetric data, test scores, measurements | Yes |
| Median | Middle of the sorted list | Skewed data: incomes, prices, waiting times | No |
| Mode | Most frequent value | Categories, sizes, repeated values | No |
| Geometric mean | ⁿ√(x₁ × … × xₙ) | Growth rates, ratios, returns | Less than the mean |
| Harmonic mean | n ÷ Σ(1/x) | Rates such as speeds or price per unit | Pulled toward small values |
Weighted average: worked example
Suppose assignments count for 20% of a course, the midterm 30% and the final exam 50%, and you scored 85, 72 and 90. The weighted average is (85 × 20 + 72 × 30 + 90 × 50) ÷ (20 + 30 + 50) = 8,360 ÷ 100 = 83.6. The simple mean of the three scores is 82.33 — lower, because your best score sits in the heaviest component. The same method gives a GPA from grade points and credit hours; the GPA Calculator and Grade Calculator are set up specifically for that.
When the geometric and harmonic means matter
- Growth and returns: an investment that gains 50% one year and loses 50% the next has an arithmetic mean return of 0%, yet you end with 75% of your money. The geometric mean of the growth factors 1.5 and 0.5 is √0.75 ≈ 0.866, a true average of −13.4% a year. The CAGR Calculator applies this to start and end values.
- Average speed: drive 60 km/h to a town and 40 km/h back over the same distance and your average speed is the harmonic mean, 2 ÷ (1/60 + 1/40) = 48 km/h — not 50 km/h.
- Spread: an average alone hides how scattered the data is. Pair it with the range shown here, or use the Standard Deviation Calculator for variance and standard deviation.
Average Calculator FAQ
How do I calculate the average of a set of numbers?
Add all the numbers and divide by how many there are. For 4, 8 and 9 the average is (4 + 8 + 9) ÷ 3 = 7. The average calculator does this for any length of list and shows the sum and count it used.
How do I find the median when there is an even number of values?
Sort the values and take the mean of the two middle ones. For 3, 5, 8, 10 the middle values are 5 and 8, so the median is 6.5.
Can a data set have more than one mode?
Yes. If two values tie for the highest frequency the data is bimodal, and with more ties it is multimodal. If every value appears exactly once, there is no mode — the calculator says so rather than picking one.
What is the difference between a weighted average and a normal average?
A normal (arithmetic) average treats every value equally. A weighted average multiplies each value by its importance first and divides by the total weight, so an exam worth 50% counts five times as much as a quiz worth 10%.
Do the weights have to add up to 100?
No. Weights can be percentages, credit hours, quantities or any positive numbers — the formula divides by their total, so 2, 3 and 5 give the same result as 20%, 30% and 50%.
Why are the geometric and harmonic means missing?
Both are only defined for positive numbers. If your list contains zero or a negative value, the calculator leaves them blank and explains why.