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 16% of your total grade, each major test is worth 21%, and the final exam is worth 42%. Compute the weighted average for the following scores: 65 on the lab, 70 on the first major test, 61 on the second major test, and 76 on the final exam. (Enter your answer to one decimal place.)
Grade weight weighted-grade
65 16% 10.4
70 21% 14.7
61 21% 12.8
76 42% 31.9
The weighted score is the sum of the weighted grade (third column).
wrong wrong wrong
70 12%14.7
To compute the weighted average, we need to multiply each score by its corresponding weight and then sum them up.
Let's start by calculating the weighted score for each category.
Lab score:
Weight = 16%
Score = 65
Weighted score = (Weight/100) * Score = (16/100) * 65 = 0.16 * 65 = 10.4
First major test score:
Weight = 21%
Score = 70
Weighted score = (Weight/100) * Score = (21/100) * 70 = 0.21 * 70 = 14.7
Second major test score:
Weight = 21%
Score = 61
Weighted score = (Weight/100) * Score = (21/100) * 61 = 0.21 * 61 = 12.8
Final exam score:
Weight = 42%
Score = 76
Weighted score = (Weight/100) * Score = (42/100) * 76 = 0.42 * 76 = 32.0
Now, we can calculate the weighted average by summing up these scores:
Weighted average = Lab score + First major test score + Second major test score + Final exam score
= 10.4 + 14.7 + 12.8 + 32.0
= 70.9
Therefore, the weighted average for the given scores is 70.9.