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40 votes
40 votes
A student is trying to calculate his semester average. He knows that his test average is an 80, his quiz average is a 72, homework is a 90, and classwork is a 93. If tests and quizzes are worth 30% each, and homework and classwork are worth 20% of his overall average, what is his average? Round to the nearest tenth.

What is the mean?

User Johan Levin
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2 Answers

24 votes
24 votes
You have to multiply and divide the 20% time the 30
User Mmilleruva
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5 votes
5 votes

The student's semester average is 82.2.

Here's how to calculate the student's semester average:

Test average: 80 (weighted 30%)

Quiz average: 72 (weighted 30%)

Homework average: 90 (weighted 20%)

Classwork average: 93 (weighted 20%)

Step 1: Calculate weighted averages for tests and quizzes, and homework and classwork.

Tests and quizzes: (0.3 * 80) + (0.3 * 72) = 24 + 21.6 = 45.6

Homework and classwork: (0.2 * 90) + (0.2 * 93) = 18 + 18.6 = 36.6

Step 2: Calculate the overall average.

Combine the weighted averages and divide by the total weight (1): (45.6 + 36.6) / 1 = 82.2

Step 3: Round to the nearest tenth.

The student's overall average is 82.2 rounded to the nearest tenth.

Therefore, the student's semester average is 82.2.

User Dalore
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