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Mean Calculator

Free mean calculator. Paste a list of numbers to get the arithmetic mean (average) instantly, plus the sum, count, median, mode, and standard deviation.

Separate numbers with commas, spaces, or new lines. You can paste a spreadsheet column.

Mean (average)

33.181818

Sum 365 ÷ 11 values

Sorted data

6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49

Summary statistics

Count (n)
11
Sum
365
Mean
33.181818
Median
40
Mode
No mode (no value repeats)
Minimum
6
Maximum
49
Range
43
Q1
15
Q3
43
IQR
28
Sample std. deviation
15.873362
Population std. deviation
15.134657
Sample variance
251.963636

How it's calculated

Mean (x̄) = Σx ÷ n

Σx is the sum of all values and n is how many values there are. For 2, 4, 4, 4, 5, 5, 7, 9: 40 ÷ 8 = 5.

Welcome to our straightforward, user-friendly tool designed to calculate the mean (average) of a dataset. Simply input your numbers separated by commas, click ‘Calculate Mean’, and get your result instantly.

The mean, often referred to as the average, is a measure of central tendency in statistics. It provides an indication of the central or typical value in a set of data. To calculate the mean, you add up all the values in the dataset and then divide the sum by the number of values. This method works well for datasets where values are distributed normally, i.e., values are equally likely to fall above or below the mean. The mean is sensitive to outliers, which are values that are significantly higher or lower than the rest of the data. This means that the mean may not accurately represent the center of the data if there are extreme values or outliers.

The mean is widely applied in various fields including economics, psychology, sports, and more. For example, in economics, the mean is often used to analyze average income, GDP, or other economic data to understand the general economic status of a country or region. In psychology, researchers often use the mean to summarize the average response or behavior of participants in a study. Similarly, in sports, the mean is often used to calculate the average performance of athletes over several games or seasons. Despite its susceptibility to outliers, the mean is useful because it incorporates every value in the dataset, making it a complete measure of central tendency. If you are student and need help calculating the mean, I highly suggest some practice problems available at Khan Academy.

How To Use Our Online Mean Calculator

Input the Data

In the provided text input field labeled as “Enter numbers separated by commas”, input your dataset. The dataset should be a list of numbers, each separated by a comma. For example, if you wanted to calculate the mean of the numbers 5, 7, 9, and 11, you would input “5,7,9,11”.

Calculate the Mean

After you’ve entered your dataset, click on the button labeled “Calculate Mean”. The JavaScript function calculateMean() will be triggered. This function splits your input into individual numbers, calculates the sum of these numbers, and then divides the sum by the number of data points to calculate the mean.

View the Result

The mean of the dataset you entered will be displayed below the “Calculate Mean” button. The result will be displayed as “Mean: x”, where x is the calculated mean value. If you want to calculate the mean for a new dataset, simply clear the input field, enter the new data, and click “Calculate Mean” again.

Frequently Asked Questions

›How do you calculate the mean?

Add all the values together and divide by how many there are. The mean of 4, 8, 15, 16, 23, 42 is 108 ÷ 6 = 18.

›Is the mean the same as the average?

Yes. In everyday use, “average” means the arithmetic mean. Statisticians sometimes use “average” more loosely to include the median and mode.

›When is the mean misleading?

When the data has outliers or is skewed. Nine people earning $50,000 and one earning $5 million have a mean income of $545,000, which describes nobody. The median is better in cases like that.

›Can I paste data from Excel or Google Sheets?

Yes. Copy a column or row and paste it in; values separated by new lines, tabs, commas, or spaces are all recognized.

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