https://file.aiquickdraw.com/mathbot/file/1727841624400eufw1efd.jpg

The equation you provided from the image seems to represent a weighted average formula. It is written as follows:

\[
w = \frac{\sum_{i=1}^{n} w_i x_i}{\sum_{i=1}^{n} w_i}
\]

Where:
- \( w \) represents the weighted average.
- \( w_i \) represents the weights.
- \( x_i \) represents the values corresponding to each weight \( w_i \).
- \( \sum_{i=1}^{n} \) denotes the summation from \( i = 1 \) to \( n \).

This equation calculates the weighted average of a set of values \( x_i \), each associated with a corresponding weight \( w_i \). The numerator sums the product of each weight \( w_i \) and its corresponding value \( x_i \), while the denominator sums all the weights \( w_i \).

Would you like more details on how to apply this equation, or have any specific questions about it?

Here are 5 related questions to expand understanding:
1. How do you apply this formula to real-world data?
2. What happens if the sum of weights is zero?
3. How does this formula differ from a simple average?
4. How can the weighted average be used in decision-making processes?
5. Can this formula be extended to include more complex weighting systems?

**Tip:** Ensure that the weights \( w_i \) sum to a meaningful value, usually 1 or something representative, to maintain the validity of the average interpretation.

What is the formula shown in the image for calculating the weighted average?

This page explains the weighted average formula, including how to apply it using summation notation. It's used to calculate the average of values where each value is assigned a different level of importance, represented by a weight.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation