Average Formula

Formula to Calculate Average

Average is the value that is used to represent the set of values of data as is the average calculated from whole data and this formula is calculated by adding all the values of the set given, denoted by summation of X and dividing it by the number of values given in set denoted by N.

Average = (a1 + a2 + …. + an) / n
Average-Formula

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For eg:
Source: Average Formula (wallstreetmojo.com)

  • where ai = ith observation
  • n = Number of observations

Explanation

The calculation of average can be calculated by using the following steps:

  1. Firstly, determine the observation, and they are denoted by a1, a2, ….., an corresponding to 1st observation, 2nd observation,…., nth observation.

  2. Next, determine the number of observations, and it is denoted by n.

  3. Finally, the average is calculated by adding all the observations and then divide the result by the number of observations, as shown below.


    Average = (a1 + a2 + …. + an) / n

Examples

You can download this Average Formula Excel Template here – Average Formula Excel Template

Example #1

Let us take an example of John, who enrolled in the graduation program for environmental science. The three-year degree course is divided into six semesters, and the final average percentage is calculated based on the percentages scored in all the semesters. Calculate John’s final percentage based on his following score:

Below is given data for calculation of the average percentage.

Average Formula Example 1

Given,

a1 = 79%, a2 = 81%, a3 = 74%, a4 = 70%, a5 = 82%, a6 = 85%, n = 6

Using the above information, the calculation of average will be as follows,

Average Formula Example 1.1
  •   Average = (79% + 81% + 74% + 70% +82% + 85%) / 6

Average will be –

Average Formula Example 1.2
  • Average = 78.50%

Therefore, David scored a final percentage of 78.5% in the graduation program.

Uses

As the name “average” suggests, it refers to the central point among a set of observations. When it is utilized in mathematics, it represents the number which is typically mean of a group of numbers. The term is often used to express a number, which represents a group of people or things. It is very important because it helps in summarising a large number of data into a single value, and it also indicates that there is some inconsistency around the single value within the original data, which forms a very crucial part of the central tendency theory.

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