Try the fastest way to create flashcards
Question

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22.5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam.

Solution

Verified
Step 1
1 of 2

The weighted mean is the sum of the products of the values and their weights, divided by the sum of the weights.

The weights are the given percentages (rewritten as decimals).

x=xww=92(0.25)+81(0.225)+93(0.225)+85(0.30)0.25+0.225+0.225+0.30=87.65\overline{x}=\dfrac{\sum x\cdot w}{\sum w}=\dfrac{92(0.25)+81(0.225)+93(0.225)+85(0.30)}{0.25+0.225+0.225+0.30}=87.65

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Probability and Statistics for Engineers and Scientists 9th Edition by Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers

Probability and Statistics for Engineers and Scientists

9th EditionISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers
1,204 solutions
Understanding Basic Statistics 8th Edition by Charles Henry Brase, Corrinne Pellillo Brase

Understanding Basic Statistics

8th EditionISBN: 9781337558075Charles Henry Brase, Corrinne Pellillo Brase
2,686 solutions
The Practice of Statistics for the AP Exam 5th Edition by Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor

The Practice of Statistics for the AP Exam

5th EditionISBN: 9781464108730Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor
2,433 solutions
Statistics and Probability with Applications 3rd Edition by Daren S. Starnes, Josh Tabor

Statistics and Probability with Applications

3rd EditionISBN: 9781464122163Daren S. Starnes, Josh Tabor
2,555 solutions

More related questions

1/4

1/7