1. What is Weighted Average?

A weighted average is an average where some values contribute more than others. When weights represent percentages, the weighted average takes into account the relative importance or frequency of each value.

2. How Does the Calculator Work?

The calculator uses the weighted average formula:

Where:

• \( WA \) — Weighted average
• \( p_i \) — Weight/percentage for each value
• \( v_i \) — Individual values to average

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

3. Importance of Weighted Average

Details: Weighted averages are crucial when different values have different levels of importance. They're used in grade calculations, financial analysis, inventory valuation, and many statistical applications.

4. Using the Calculator

Tips: Enter values and their corresponding weights as comma-separated lists. Both lists must have the same number of items. Weights can be percentages or any relative weights.

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 some values more influence based on their weights.

Q2: Can weights be percentages?
A: Yes, weights can be percentages. The calculator automatically handles the conversion.

Q3: What if my weights don't add up to 100?
A: The calculator works with any weights - they don't need to sum to 100. It will normalize them automatically.

Q4: Can I use this for grade calculations?
A: Yes, this is perfect for calculating final grades where assignments have different weights.

Q5: How many values can I enter?
A: You can enter as many values as needed, as long as you provide a matching weight for each one.