The mean calculator determines the mean (average), median, mode, range, and many other values of a given set of numbers.
The mean is the average value of a set of numbers. It's also used to analyze the variability of data. In the context of statistics and probability, the mean represents the "Central Tendency" of a group of elements. Also, it's beneficial for examining the common characteristics between the elements in a collection.
Where,
μ = mean.
n = total number of elements in the data set.
= sum of all the elements (from the first element to the nth element).
Let's take an example.
Calculate the mean for this data set: 7, 3, 1, 7, 4.6, 6.2, 10, 10.4, 7.5, 9.1
Step 1: Initialize the value of 'n'
n = number of elements present in the data set.
So, n = 10.
Step 2: Find the sum of data set
Xi = 7 + 3 + 1 + 7 + 4.6 + 6.2 + 10 + 10.4 + 7.5 + 9.1 = 65.8
Step 3: Divide the sum of data set (Xi) by the total number of the elements (n)
μ = Xi / n = 65.8 / 10 = 6.58
So, the mean (μ) = 6.58.
You can use our mean calculator to perform the above calculation with ease.