*Arithmetic Mean Calculator* is an online probability and statistics tool for data analysis programmed to find out Arithmetic Mean of the given data set by taking the sum of the observations and dividing by their number. The mean is often denoted by a little bar over the symbol for the variable, commonly represented as **x̄**

### Definition

The **mean** is a measure of central tendency value for a distribution. It’s also popularly known as **arithmetic mean** or **average** often referenced along with the standard deviation; which describes the central location of the data and the standard deviation describes the spread. An alternative measure of dispersion is the mean deviation, corresponding to the average absolute deviation from the mean. The mean of a set of data x_{1}, x_{2}, ..., x_{n} is typically denoted by **x̄**, pronounced **x bar**. This mean is a type of arithmetic mean. If the data set were based on a series of observations obtained by sampling a statistical population, this mean is termed the **sample mean** to distinguish it from the **population mean**

### The Formula for Mean Calculation

The term in Geometry or Statistics mean can be derived from the formula

The above illustrations can guide you to understand how to find out the Mean value in probability statistics. There may be occasion arises when you need to find out the mean value for large set of data where use this online mean value calculator to precisely determine your mean value to the given set of numbers or data