Gewichtsgemiddelde

Gewichtsgemiddelde, also known as the weighted average, is a type of average that takes into account the relative importance of each value in a dataset. Unlike a simple arithmetic mean where all values are treated equally, a gewichtsgemiddelde assigns a specific weight to each data point. The higher the weight, the greater its influence on the final average.

To calculate a gewichtsgemiddelde, you multiply each value by its corresponding weight, sum up these products, and then divide the sum by the total sum of all the weights. The formula is typically expressed as (Σ(value weight)) / (Σweight).

This concept is widely used in various fields. For instance, in finance, it's used to calculate the average price of a stock when shares are bought at different prices. In education, it can be applied to calculate a student's final grade, where different assignments or exams have different percentage weights. Similarly, in statistics, it's crucial for calculating indices where certain components are more significant than others. The gewichtsgemiddelde provides a more accurate representation of the central tendency when data points are not of equal importance.