In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 15% of your total grade, each major test is worth 23.5%, and the final exam is worth 38%. Compute the weighted average for the following scores: 86 on the lab, 87 on the first major test, 77 on the second major test, and 79 on the final exam.

To compute the weighted average for your final grade, you can use the formula for a weighted average:

\[
\text{Weighted Average} = (w_1 \times s_1) + (w_2 \times s_2) + (w_3 \times s_3) + \dots
\]

Where \( w_1, w_2, w_3, \dots \) are the weights, and \( s_1, s_2, s_3, \dots \) are the corresponding scores.

In this case:
- Lab score = 86, with a weight of 15% or 0.15.
- First major test score = 87, with a weight of 23.5% or 0.235.
- Second major test score = 77, with a weight of 23.5% or 0.235.
- Final exam score = 79, with a weight of 38% or 0.38.

Now calculate the weighted average:

\[
\text{Weighted Average} = (0.15 \times 86) + (0.235 \times 87) + (0.235 \times 77) + (0.38 \times 79)
\]

I'll calculate this for you.

\[
\text{Weighted Average} = (0.15 \times 86) + (0.235 \times 87) + (0.235 \times 77) + (0.38 \times 79) = 12.9 + 20.445 + 18.095 + 30.02
\]

\[
\text{Weighted Average} = 81.46
\]

So, the weighted average for your final grade is **81.46**.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the formula for calculating an unweighted average?
2. How does changing the weight of one component affect the overall grade?
3. How would your grade change if your lab score was 90 instead of 86?
4. What strategies could you use to improve your final exam score for a better average?
5. Can you have a situation where the weighted average is lower than all individual scores?

**Tip**: When calculating weighted averages, always ensure that the sum of the weights equals 1 (or 100%).

Learn how to compute a weighted average for your final grade in a biology class using scores from labs, major tests, and the final exam. This step-by-step guide covers calculating the weighted average for scores like 86 on the lab, 87 on the first test, 77 on the second test, and 79 on the final exam.

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