Weighted Average

Weighted Average is a type of average where some values have more "weight" or importance than others. The weights used to calculate the weighted average are usually based on the relative frequency or importance of the data points. For example, if you wanted to calculate the average grade of your class, you could give more weight to the final exam than to the weekly quizzes.

Formula: Weighted Average = (weight1 * value1 + weight2 * value2 + ...) / (weight1 + weight2 + ...)

For example, if you have 4 test scores of 90, 80, 70, and 50, and the weights are 20%, 20%, 40%, and 20%, respectively, the weighted average would be calculated as:

Weighted Average = (20% * 90 + 20% * 80 + 40% * 70 + 20% * 50) / (20% + 20% + 40% + 20%)

Weighted Average = (18 + 16 + 28 + 10) / (0.2 + 0.2 + 0.4 + 0.2)

Weighted Average = 72 / 1

Weighted Average = 72

Weighted averages are commonly used in many different fields, such as finance, statistics, and engineering, and are particularly useful when data points have different levels of importance or significance.