Question

The marks obtained by a student in Business, Science and History were 60, 68 and 50 respectively. Find the appropriate average if weights of 6, 5, 4 are assigned to these marks (7 mks)

Answer 1

Answer:To find the appropriate average, we need to calculate the weighted mean, which takes into account the different weights assigned to each mark.

The formula for the weighted mean is:

weighted mean = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)

where w1, w2, w3 are the weights assigned to each mark, and x1, x2, x3 are the corresponding marks obtained by the student.

Plugging in the values given in the problem, we get:

weighted mean = (6 x 60 + 5 x 68 + 4 x 50) / (6 + 5 + 4)

weighted mean = (360 + 340 + 200) / 15

weighted mean = 900 / 15

weighted mean = 60

Therefore, the appropriate average of the marks obtained by the student is 60.

Explanation:

Answer 2

60

Explanation:

To find the appropriate average with weights assigned, we need to use the weighted average formula:

Weighted average = (w1 * x1 + w2 * x2 + w3 * x3) / (w1 + w2 + w3)

where

x1, x2, x3 are the marks obtained in Business, Science, and History respectively

w1, w2, w3 are the weights assigned to each subject

Substituting the given values, we get:

Weighted average = (660 + 568 + 4*50) / (6 + 5 + 4)

= (360 + 340 + 200) / 15

= 900 / 15

= 60

Therefore, the appropriate weighted average is 60.