Enter a list of numbers to instantly find the mean, median, mode, and range.
An Average Calculator finds the arithmetic mean of a set of numbers by adding them all together and dividing by the count of values. It is one of the most fundamental statistical tools, used everywhere from calculating a student's overall exam score, to a business finding its average monthly sales, to a household tracking average daily expenses, anywhere a single representative figure is needed to summarize a list of numbers.
Average (mean) = (Sum of all values) divided by (Number of values). For a data set x1, x2, up to xn, this is written as (x1 + x2 + ... + xn) divided by n. Some versions of this tool also compute the median (the middle value when the data is sorted) and the mode (the most frequently occurring value) alongside the mean.
Enter your list of numbers, separated by commas or line breaks. The calculator adds all the values, counts how many numbers you entered, and divides the sum by that count to display the average, often alongside the total sum and the count itself for quick reference.
Example 1: For the numbers 85, 90, 78, 92, and 88, the sum is 433 and the count is 5, giving an average of 433 divided by 5 equals 86.6.
Example 2: For monthly expenses of 12,000, 15,500, 11,200, and 13,800 over four months, the sum is 52,500 and the average monthly expense is 52,500 divided by 4 equals 13,125.
The average (mean) sums all values and divides by the count; the median is the middle value once the data is sorted, which is less affected by extreme outliers; and the mode is simply the value that appears most often in the data set.
A single extremely high or low value can pull the average far away from where most of the data actually sits, which is why analysts often look at both the mean and the median together to get a fuller picture of a data set's typical value.
A weighted average multiplies each value by its assigned weight, sums those products, and divides by the sum of the weights, rather than dividing by a plain count, this is used, for example, when different exams count for different percentages of a final grade.
Yes, negative values are added into the sum exactly like positive ones, so a data set of temperatures or profit/loss figures that includes negative entries will still produce a mathematically correct average.
The average of a single value is simply that value itself, since dividing the sum by a count of one leaves the number unchanged.
A running (or moving) average recalculates as new data points are added over time, using only the most recent set of values in the window, which helps smooth out short-term fluctuations in things like stock prices or daily sales figures.
No, addition is commutative, so the sum, and therefore the average, is exactly the same no matter what order the numbers are entered in.
Averages allow a quick comparison of central tendency between data sets, but a fair comparison should also consider the sample size and spread (variance) of each set, since two sets can share the same average while having very different distributions.
A population mean uses every single member of the group being studied, while a sample mean is calculated from a smaller subset used to estimate that population's true average; sample means carry some uncertainty that statisticians quantify using measures like standard error.
Zeros are included in both the sum and the count just like any other value, so a data set with several zero entries will pull the average down noticeably compared with a data set of similar non-zero numbers, which is an important distinction from simply ignoring or omitting missing values.
If a small number of unusually large sales are skewing the picture, the median gives a more representative sense of a typical sale, while the average can be pulled upward and overstate how a typical transaction actually looks.
A simple grade average sums all scores and divides by the number of assessments, while a GPA typically applies a weighted average where each course's grade points are multiplied by its credit hours before dividing by the total credit hours attempted.