In mathematics, it most commonly refers to the arithmetic mean, but may also refer to other measures such as other types of mean, the median, or the mode. Representation of the arithmetic mean, median and mode of a set of 250 points. In the context of mathematics and statistics, the word average refers to what’s more formally called the mean, which is the sum of a set of values divided by the number of values. The meaning of AVERAGE is a single value (such as a mean, mode, or median) that summarizes or represents the general significance of a set of unequal values. How to use average in a sentence. The difference between median and average is that the median is the middle value, while the average is the mean of the values. The median and average (mean) are two important measures of the central tendency in statistics. a typical, usual, or normal amount, rate, degree, level, etc.: [countable; usually singular] The people in that village lived for an average of seventy years. [uncountable] Her work is well above average. AVERAGE definition: 1. the result you get by adding two or more amounts together and dividing the total by the number…. Learn more. The average of any number series or group is always between its smallest and the largest value. Average is used in day-to-day calculations whereas mean is the average that is mostly used in statistics while solving math questions. Free calculator to determine the average, or the arithmetic mean, of a given data set. It also returns the calculation steps, sum, count, and more. These solved examples will help students understand and practice the concept of average. Example 1: Find the average of the squares of the first 16 natural numbers. The mode is the value that occurs most often. This average can be used for non-numerical values, eg ‘red’. The range is not an average. Instead, it is used to show how varied the data is.