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How To Compute Average Rating Calculator

Average Rating Formula:

\[ \text{Average} = \frac{\sum(\text{rating} \times \text{weight})}{\sum(\text{weights})} \]

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1. What is Weighted Average Rating?

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.

2. How Does the Calculator Work?

The calculator uses the weighted average formula:

\[ \text{Average} = \frac{\sum(\text{rating} \times \text{weight})}{\sum(\text{weights})} \]

Where:

Explanation: Each rating is multiplied by its weight, these products are summed, and then divided by the sum of all weights.

3. Importance of Weighted Average

Details: Weighted averages are crucial when some ratings are more significant than others, providing a more accurate representation than a simple average.

4. Using the Calculator

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".

5. Frequently Asked Questions (FAQ)

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.

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