Question

Find the weighted average of L = 6 and M = 14, where L is weighted at 25% and M at 75%. (1 point)

12

11

8

10

Answer 1

To calculate the weighted average of L and M, you can use the formula:

\[
\text{Weighted Average} = (L \times \text{Weight of L}) + (M \times \text{Weight of M})
\]

Given:
- \( L = 6 \) (weighted at 25% or 0.25)
- \( M = 14 \) (weighted at 75% or 0.75)

Substituting the values into the formula:

\[
\text{Weighted Average} = (6 \times 0.25) + (14 \times 0.75)
\]

Calculating each term:

\[
6 \times 0.25 = 1.5
\]
\[
14 \times 0.75 = 10.5
\]

Now, add the two results:

\[
\text{Weighted Average} = 1.5 + 10.5 = 12
\]

Therefore, the weighted average is **12**.