Question 1125440
student receives 70 in english, 80 in math, 95 in accounting.
the subject are weighted 4, 3, 2 in that order.


the unweighted average is (70 + 80 + 95) / 3 = 81.67 rounded to 2 decimal places.


the weighted average is 4 * 70 + 3 * 80 + 2 * 95 = 710 / 9 = 78.89 rounded to 2 decimal places.


the weighted average is less than the unweighted average because there is a larger weighting given to the subjects with the lower scores.


this means that they have a larger percentage of the total score.


for example, english is 1/3 of the total score with the unweighted average, but 4/9 of the total score with the weighted average.


1/3 is equal to 33.33% rounded to two decimal places.


4/9 is equal to 44.44% rounded to two decimal places.