Statistics & Probability
Intermediate

Weighted Mean

Average where values carry different weights.

Formula

xˉw=∑wixi∑wi\bar{x}_w = \frac{\sum w_i x_i}{\sum w_i}

Variables

w_iWeights
x_iValues

Example

GPA is a weighted mean

Did You Know?

Your grade point average is a weighted mean, where harder courses with more credits pull it more strongly.

central-tendency