Question 1125440: A student receives 70 in English,80 in maths and 95 in accounts the subjects have the following weights:maths 4, English 3 and accounts 2 what is the weight average score of the student?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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