Average Rating Formula:
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The weighted average rating is a calculation that takes into account the importance (weight) of each rating when computing the average, rather than treating all ratings equally.
The calculator uses the weighted average formula:
Where:
Explanation: Each rating is multiplied by its weight, these products are summed, and then divided by the sum of all weights.
Details: Weighted averages are crucial when some ratings are more significant than others, providing a more accurate representation than a simple average.
Tips: Enter ratings and weights as comma-separated values. Both lists must have the same number of values. Example: "5,4,3" and "2,3,1".
Q1: What's the difference between average and weighted average?
A: Regular average treats all values equally, while weighted average gives more importance to some values based on their weights.
Q2: When should I use weighted average?
A: Use when some ratings are more important than others, like customer ratings from frequent buyers vs. one-time buyers.
Q3: Can weights be zero or negative?
A: Weights should be positive numbers. Zero weight means the rating doesn't count, and negative weights would distort the average.
Q4: What if my weights don't add up to 1?
A: The formula automatically normalizes the weights, so they don't need to sum to any specific value.
Q5: How many ratings can I enter?
A: You can enter as many as needed, but both ratings and weights lists must be the same length.