Question

What is the formula for finding E/I with weighted average?

1) E/I = (E1 * W1 + E2 * W2 + ... + En * Wn) / (W1 + W2 + ... + Wn)
2) E/I = (E1 + E2 + ... + En) / n
3) E/I = (E1 * W1 + E2 * W2 + ... + En * Wn) / n
4) E/I = (E1 + E2 + ... + En) / (W1 + W2 + ... + Wn)

Answer 1

The formula for finding E/I with a weighted average is (E1 * W1 + E2 * W2 + ... + En * Wn) / (W1 + W2 + ... + Wn), which aligns with the concept of weighted averages used in many contexts, such as calculating grade point averages.

Step-by-step explanation:

The correct formula to find E/I with a weighted average is represented by option 1, which states:

E/I = (E1 * W1 + E2 * W2 + ... + En * Wn) / (W1 + W2 + ... + Wn)

This formula implies that each E value (which could represent energy, earnings, etc.) is multiplied by its corresponding weight (W), and these products are summed. The sum of the weighted E values is then divided by the sum of all weights. This calculation is analogous to how grade point averages (GPAs) are calculated in most colleges, where each course grade is multiplied by its credit hours, and then the sum of these products is divided by the total credit hours taken.