Weighted Average Calculator Percentage Of Two

Weighted Average Formula:

\[ WA = \frac{(p1 \times v1 + p2 \times v2)}{100} \]

Weighted Average (WA):

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1. What is Weighted Average?

A weighted average is an average where some values contribute more than others based on their assigned weights or percentages. It's used when different values in your dataset have different levels of importance.

2. How Does the Calculator Work?

The calculator uses the weighted average formula:

\[ WA = \frac{(p1 \times v1 + p2 \times v2)}{100} \]

Where:

\( p1 \) — Percentage weight of first value (must add up to 100% with p2)
\( v1 \) — First value
\( p2 \) — Percentage weight of second value (must add up to 100% with p1)
\( v2 \) — Second value

Explanation: Each value is multiplied by its weight (percentage), the products are summed, and then divided by the sum of the weights (which is always 100 in this case).

3. Importance of Weighted Average

Details: Weighted averages are crucial in many financial, academic, and statistical applications where different factors have different levels of importance. Examples include grade point averages (GPAs), stock indices, and performance metrics.

4. Using the Calculator

Tips: Enter both percentages (must total 100%) and their corresponding values. All values must be valid numbers. Percentages should be between 0-100 and sum to exactly 100.

5. Frequently Asked Questions (FAQ)

Q1: Why use weighted average instead of regular average?
A: When some values are more significant than others, weighted average gives a more accurate representation than simple arithmetic mean.

Q2: What if my percentages don't add up to 100?
A: The calculator requires percentages to sum to exactly 100% for accurate weighted average calculation.

Q3: Can I calculate weighted average of more than two values?
A: Yes, but this calculator is specifically designed for two values. The formula can be extended to more values.

Q4: What are common applications of weighted averages?
A: Financial analysis (portfolio returns), education (GPA calculation), business (customer satisfaction scores), and many other fields.

Q5: How is this different from a simple average?
A: Simple average treats all values equally, while weighted average accounts for differing importance or frequency of values.