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 22.5%, and the final exam is worth 40%. Compute the weighted average for the following scores: 88 on the lab, 76 on the first major test, 63 on the second major test, and 100 on the final exam. (Round your answer to one decimal place.)

Question

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 22.5%, and the final exam is worth 40%. Compute the weighted average for the following scores: 88 on the lab, 76 on the first major test, 63 on the second major test, and 100 on the final exam. (Round your answer to one decimal place.)

Answer 1

Is the final grade based on the cumulative amount or an average?

Cumulative

.15(88) + .225(76+63) + .4(100) = ?

Average

[.15(88) + .225(76+63) + .4(100)]/4 = ?

Answer 2

To compute the weighted average for the given scores, we need to multiply each score by its corresponding weight, and then sum up the results.

First, let's calculate the weighted scores for each component:
- Lab score: 88 * 0.15 = 13.2
- First major test score: 76 * 0.225 = 17.1
- Second major test score: 63 * 0.225 = 14.2
- Final exam score: 100 * 0.4 = 40

Next, add up the weighted scores:
13.2 + 17.1 + 14.2 + 40 = 84.5

Finally, divide the total weighted score by the sum of the weights (which equals 100 in this case):
84.5 / 100 = 0.845

The weighted average for the given scores is approximately 0.845, rounded to one decimal place.

Answer 3

To compute the weighted average, we need to multiply each score by its corresponding weight, add them all together, and then divide by the sum of the weights.

1. Multiply the lab score (88) by its weight (15% or 0.15): 88 * 0.15 = 13.2
2. Multiply the score on the first major test (76) by its weight (22.5% or 0.225): 76 * 0.225 = 17.1
3. Multiply the score on the second major test (63) by its weight (22.5% or 0.225): 63 * 0.225 = 14.175
4. Multiply the score on the final exam (100) by its weight (40% or 0.4): 100 * 0.4 = 40

Now, add all these weighted scores together: 13.2 + 17.1 + 14.175 + 40 = 84.475

Finally, divide the sum of the weighted scores by the sum of the weights:
(13.2 + 17.1 + 14.175 + 40) / (0.15 + 0.225 + 0.225 + 0.4) = 84.475 / 1 = 84.475

Round this to one decimal place: 84.5

Therefore, the weighted average for the given scores is 84.5.