1
Add the values
Find the sum of every number in the list. Keep negative signs and decimal places.
x̄
Average Calculator
Find the average of a list of numbers instantly, or calculate a weighted average with a complete mean, median, mode, range, sum, and count breakdown.
Mean, Median & Mode
Weighted Average
Up to 10,000 Values
Σ
Enter Your Numbers
Separate numbers with commas, spaces, semicolons, or new lines. Decimals, negatives, and scientific notation are supported.
Try an example
Calculation
(10 + 2 + 38 + 23 + 38 + 23 + 21) ÷ 7 = 22.1428571429
=
Live Results
Arithmetic mean
22.1428571429
Sum
155
Count
7
Median
23
Range
36
- Minimum
- 2
- Maximum
- 38
- Mode
- 38, 23
- Geometric mean
- 16.4127644431
Tip: the arithmetic mean can be affected by unusually high or low outliers; compare it with the median.
∑ How to Calculate the Average
Add all the numbers, then divide the sum by how many numbers there are. This result is the arithmetic mean—the value most people mean when they say “average.”
Average = Sum of all values ÷ Number of values
2
Count the values
Count how many numbers were included—not how many digits they contain.
3
Divide sum by count
Divide the total from step 1 by the count from step 2 to get the arithmetic mean.
Worked example
For 2, 7, 19, 24, and 25: sum = 77, count = 5, so average = 77 ÷ 5 = 15.4.
≈ Mean, Median, Mode, and Other Averages
“Average” can describe several measures of central tendency. The best choice depends on the data and the question you are trying to answer.
Arithmetic mean
Σx ÷ n
The familiar sum-divided-by-count average. Best for balanced numeric data without extreme outliers.
Median
middle sorted value
The center value after sorting. It is resistant to outliers and useful for incomes, prices, and skewed data.
Mode
most frequent value
The value that occurs most often. A list may have no mode, one mode, or several modes.
Weighted mean
Σ(xw) ÷ Σw
Gives values different influence. Common for grades, GPAs, portfolio returns, and grouped data.
Geometric mean
ⁿ√(x₁×…×xₙ)
Useful for compounded growth rates and ratios. It requires positive values.
Harmonic mean
n ÷ Σ(1/x)
Useful for rates such as speeds over equal distances and price-to-earnings style ratios.
Σw How to Calculate a Weighted Average
A weighted average gives some values more influence than others. Multiply each value by its weight, add those products, and divide by the total of the weights.
Weighted average = Σ(value × weight) ÷ Σ(weights)
Example: grades of 90, 80, and 70 weighted 50%, 30%, and 20% give (90×50 + 80×30 + 70×20) ÷ 100 = 83.
| Value | Weight | Value × Weight |
|---|---|---|
| 90 | 50 | 4,500 |
| 80 | 30 | 2,400 |
| 70 | 20 | 1,400 |
| Total | 100 | 8,300 |
Common Average Calculator Uses
Grades and GPA
Average test scores or weight assignments, exams, and course credits correctly.
Statistics
Compare mean, median, mode, minimum, maximum, and range for a dataset.
Business metrics
Summarize sales, response times, unit costs, ratings, and performance data.
Everyday tracking
Calculate average scores, temperatures, measurements, workouts, or daily totals.
? Average Calculator FAQ
How do you calculate the average of numbers?
Add all the numbers together, then divide the sum by the number of values. For example, the average of 4, 7, and 10 is (4 + 7 + 10) ÷ 3 = 7.
What is the average formula?
The arithmetic average formula is Average = Sum ÷ Count, or x̄ = Σx ÷ n. Σx is the sum of the values and n is how many values are in the list.
How do I calculate an average percentage?
If every percentage has equal importance, enter the percentages as ordinary numbers and calculate their arithmetic mean. If categories have different importance, use the weighted average mode instead.
How do I calculate a weighted average grade?
Multiply each grade by its course credit or category percentage, add the products, then divide by the total weight. Grades 90, 80, and 70 with weights 50, 30, and 20 have a weighted average of 83.
What is the difference between mean, median, and mode?
The mean is sum ÷ count, the median is the middle value after sorting, and the mode is the most frequent value. They can differ when data is skewed or contains outliers.
Can an average calculator use negative numbers and decimals?
Yes. This calculator accepts positive numbers, negative numbers, zero, decimals, and scientific notation. For example, the average of −5, 0, 5, and 10 is 2.5.
How do I find the average without the highest and lowest values?
Remove the highest and lowest values from the list, then calculate the mean of the remaining values. This is sometimes called a trimmed mean and can reduce the effect of outliers.
How do I calculate the average in Excel or Google Sheets?
Use =AVERAGE(A1:A10) for an ordinary mean. For a weighted average, use =SUMPRODUCT(values, weights)/SUM(weights).
Is the average always one of the numbers in the list?
No. The mean summarizes the center of a group and does not need to appear in the original data. The average of 2 and 3 is 2.5, even though 2.5 is not in the list.
Should I use the mean or median when there are outliers?
The median is usually more representative when a few unusually high or low values skew the data. Compare both: a large difference between the mean and median can signal skew or outliers.
Can I average averages?
Only when the groups contain the same number of observations. For groups of different sizes, calculate a weighted average using each group’s sample size as its weight.
How do I calculate average speed?
Average speed is total distance ÷ total time, not usually the simple mean of two speeds. Equal-distance trips at different speeds require a harmonic-style calculation.
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