Weighted Mean Calculator

Enter value of x
comma separated input values
Enter weights to x value
comma separated input values
Number of samples  =  6
Weighted mean  =  19.1972

Weighted Mean - work with steps

Input Data :
Data set x = 3, 8, 10, 17, 24, 27
Data set y = 2, 8, 10, 13, 18, 20
Total number of elements = 6

Objective :
Find what is weigted mean for given input data?

Formula :
Weighted Mean Formula

Solution :

Weighted mean = (3 x 2) + ( 8 x 8) + ( 10 x 10) + ( 17 x 13) + ( 24 x 18) + ( 27 x 20)2 + 8 + 10 + 13 + 18 + 20
= 6 + 64 + 100 + 221 + 432 + 54071
= 136371
Weighted Mean = 19.1972

Weighted Mean Calculator is an online statistics tool for data analysis programmed to calculate the Weighted Mean by giving different weights to some of the individual values. The idea of weighted mean plays a role in descriptive statistics and also occurs in a more general form in several other areas of mathematics.

Definition - Weighted Mean

Weighted Mean is an average computed by giving different weights to some of the individual values. If all the weights are equal, then the weighted mean is the same as the arithmetic mean. Whereas weighted means generally behave in a similar approach to arithmetic means, they do have a few counter instinctive properties. Data elements with a high weight contribute more to the weighted mean than do elements with a low weight. The weights cannot be negative. Some may be zero, but not all of them; since division by zero is not allowed. Weighted means play an important role in the systems of data analysis, weighted differential and integral calculus.

Weighted Mean Formula

The Weighted mean for given set of non negative data {x1, x2, x3, ...xn} with non negative weights {w1, w2, w3, ...wn} can be derived from the formula
Weighted Mean Formula

x is the repeating value
w is the number of occurrences of x (weight)
is the weighted mean

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the weighted mean for a set of data with different individual errors. With this online weighted mean calculator you can effortlessly make your calculation for the set of given observations