How to calculate weighted mean in R?

Weighted mean is the average which is determined by finding the sum of the products of weights and the values then dividing this sum by the sum of total weights. If the weights are in proportion then the total sum of the weights should be 1. In base R, we have a function weighted.mean to find the weighted mean in which we just need to pass the vector of values and the vector of weights.

Examples

 Live Demo

x1<-c(1,2,3,4)
x1

Output

[1] 1 2 3 4

Example

Live Demo

Weight_x1<-c(0.25,0.25,0.25,0.25)
Weight_x1

Output

[1] 0.25 0.25 0.25 0.25

Example

Weighted_Mean_x1<-weighted.mean(x1,Weight_x1)
Weighted_Mean_x1

Output

[1] 2.5

Example

 Live Demo

x2<-rpois(10,5)
x2

Output

[1] 3 3 4 6 6 10 5 3 3 6

 Example

 Live Demo

Weight_x2<-rep(0.1,10)
Weight_x2

Output

[1] 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1

Example

Weighted_Mean_x2<-weighted.mean(x2,Weight_x2)
Weighted_Mean_x2

Output

[1] 4.9

Example

 Live Demo

x3<-c(8,6,7)
x3

Output

[1] 8 6 7

Example

Live Demo

Weight_x3<-c(0.5,0.3,0.2)
Weight_x3

Output

[1] 0.5 0.3 0.2

Example

Weighted_Mean_x3<-weighted.mean(x3,Weight_x3)
Weighted_Mean_x3

Output

[1] 7.2

Example

 Live Demo

x4<-rnorm(5,1.5)
x4

Output

[1] 3.0320687 0.9741989 0.2783473 0.8061909 0.5833953

Example

Live Demo

Weight_x4<-rep(0.2,5)
Weight_x4

Output

[1] 0.2 0.2 0.2 0.2 0.2

Example

Weighted_Mean_x4<-weighted.mean(x4,Weight_x4)
Weighted_Mean_x4

Output

[1] 1.13484

Example

 Live Demo

x5<-c(1,2,5,7)
x5

Output

[1] 1 2 5 7

Example

Weight_x5<-c(2,14,8,32)
Weight_x5

Output

[1] 2 14 8 32

Example

Weighted_Mean_x5<-weighted.mean(x5,Weight_x5)
Weighted_Mean_x5

Output

[1] 5.25

Example

 Live Demo

x6<-runif(10,2,4)
x6

Output

[1] 2.126860 3.194281 3.051176 3.083388 3.393485 2.139493 2.634237 2.647985
[9] 3.318430 2.765557

Example

Weight_x6<-rep(0.1,10)
Weight_x6

Output

[1] 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1

Example

Weighted_Mean_x6<-weighted.mean(x6,Weight_x6)
Weighted_Mean_x6

Output

[1] 2.835489

Example

 Live Demo

x7<-c(1,2,3,4)
x7

Output

[1] 1 2 3 4

Example

Weight_x7<-c(73,378,459,90)
Weight_x7

Output

[1] 73 378 459 90

Example

Weighted_Mean_x7
<-weighted.mean(x7,Weight_x7)
Weighted_Mean_x7

Output

[1] 2.566