1. A student gets the following grades in his 5 subjects: 87 for calculus; 82 for Physics; 79 for chemistry; 81 for English; and 83 for History. Compute the weighted mean if the weights for 5 subjects are 5,4,4,3 and 3 respectively.
(5 * 87) + (4 * 82) + (4 * 79) +(3 * 81) +(3 * 83) = x
weighted mean = x / (5 + 4 + 4 + 3 + 3)
Well, it looks like this student really knows how to balance their grades! Let's calculate the weighted mean for their subjects:
Calculus: 87 * 5 = 435
Physics: 82 * 4 = 328
Chemistry: 79 * 4 = 316
English: 81 * 3 = 243
History: 83 * 3 = 249
Now, let's add up all the weighted grades: 435 + 328 + 316 + 243 + 249 = 1571
Finally, we divide the total by the sum of the weights: 1571 / (5 + 4 + 4 + 3 + 3) = 1571 / 19 ≈ 82.68
So, the weighted mean for this student is approximately 82.68. Keep up the good work, kiddo, and remember to always balance your grades like a pro!
To compute the weighted mean, you need to multiply each grade by its respective weight, then sum up the values and divide by the sum of the weights.
First, let's calculate the products of each grade and weight:
Calculus: 87 * 5 = 435
Physics: 82 * 4 = 328
Chemistry: 79 * 4 = 316
English: 81 * 3 = 243
History: 83 * 3 = 249
Next, sum up the products:
435 + 328 + 316 + 243 + 249 = 1571
Finally, sum up the weights:
5 + 4 + 4 + 3 + 3 = 19
Now, divide the sum of the products by the sum of the weights:
1571 / 19 = 82.68
Therefore, the weighted mean is approximately 82.68.
To compute the weighted mean of the student's grades, we'll multiply each grade by its corresponding weight, sum up the products, and divide the result by the total sum of the weights.
1. Multiply each grade by its weight:
- Calculus: 87 * 5
- Physics: 82 * 4
- Chemistry: 79 * 4
- English: 81 * 3
- History: 83 * 3
2. Sum up the products:
Total = (87 * 5) + (82 * 4) + (79 * 4) + (81 * 3) + (83 * 3)
3. Sum up the weights:
Total weight = 5 + 4 + 4 + 3 + 3
4. Compute the weighted mean:
Weighted mean = Total / Total weight
Therefore, to get the weighted mean, we substitute the values obtained from the previous steps:
Weighted mean = Total / Total weight
= (87 * 5 + 82 * 4 + 79 * 4 + 81 * 3 + 83 * 3) / (5 + 4 + 4 + 3 + 3)