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.