What is the formula for finding the weighted mean?

The formula for finding the weighted mean is expressed as the sum of the products of each value and its corresponding weight divided by the sum of the weights. This is represented mathematically as w1x1 + w2x2 + w3x3... / w1 + w2 + w3..., where each x represents a value and each w represents the weight assigned to that value. This method accounts for the varying levels of importance (weights) associated with each data point, allowing for a more accurate average that reflects those variations.

In contrast, the other choices do not incorporate weights in their calculations. The second choice provides a simple arithmetic mean by averaging values without considering any weighting. The third choice uses a specific weighting of 1, 2, and 3 but does not follow the general formula for weighted means. The last choice merely suggests dividing the sum of values by the count of values, similar to an arithmetic mean, and misses the concept of assigning different levels of importance to those values. Thus, the first option accurately captures the essence of calculating a weighted mean.