Weighted Average

WEIGHTED AVERAGES How grades are calculated .. In college!!

Grade Averages 1 ,[object Object],What will his grade be? The grades are weighted as follows: each 9 weeks 40 % and the final exam 20%.

Step 1 ,[object Object],[object Object],[object Object],[object Object],Circle the important information. How to begin:

Step 2 ,[object Object],The final exam is worth 20% of the grade and is 80%. 2nd 9 weeks is worth 40% of grade and is 75%. Restate the problem: WE DO NOT KNOW THE VALUE OF JB’s OVERALL GRADE, SO WE’LL CALL IT “g”.

Step 3 ,[object Object],2nd 9 weeks is worth 40% of grade and is 75%. Change your statements into formulas: 1 st 9 weeks = .40 * .82 = .328 The final is worth 20% of the grade and is 80%. The overall grade JB earns is: 2 nd 9 weeks = .40 * .75 = .30 Final = .20 * .80 = .16 1 st 9 weeks + 2 nd 9 weeks + final = g

Step 4 Put the values in the formula and solve: 1 st 9 weeks = .40 * .82 = 0.328 Now just add the results 2 nd 9 weeks = .40 * .75 = 0.30 Final = .20 * .80 = 0.16 0.328 + 0.30 + 0.16 = g 0.328 + 0.30 + 0.16 = .788 or 78.8% .788

Grade Averages 2 ,[object Object],What would his grade be? The grades are weighted as follows: each 9 weeks 30 % and the final exam 40%.

Step 1: ,[object Object],[object Object],[object Object],Circle the important information. How to begin:

Step 2 ,[object Object],The final exam is worth 40% of the grade and is 80%. 2nd 9 weeks is worth 30% of grade and is 90%. Restate the problem: WE DO NOT KNOW THE VALUE OF KC’s OVERALL GRADE, SO WE’LL CALL IT “g”.

Step 3 ,[object Object],2nd 9 weeks is worth 30% of grade and is 90%. Change your statements into formulas: 1 st 9 weeks = .30 * .90 = .27 The final is worth 40% of the grade and is 80%. The overall grade KC earns is: 2 nd 9 weeks = .30 * .90 = .27 Final = .40 * .80 = .32 1 st 9 weeks + 2 nd 9 weeks + final = g

Step 4 Put the values in the formula and solve: 1 st 9 weeks = .30 * .90 = 0.27 Now, just add the answers. 2 nd 9 weeks = .30 * .90 = 0.27 Final = .40 * .80 = 0.32 0.27 + 0.27 + 0.32 = g 0.27 + 0.27 + 0.32 = 0.86 0.86

Your turn… If TJ has a 80% average for the 1st 9 weeks and a 90% average for the 2nd 9 weeks, and 85% on the final exam. The grades are weighted as follows: each 9 weeks 30 % and the final exam 40%. What is her final grade?

Your turn… If Renetia has a 60% average for the 1st 9 weeks and a 90% average for the 2nd 9 weeks, and 85% on the final exam. The grades are weighted as follows: each 9 weeks 40 % and the final exam 20%. What is her final grade?

Your turn… If Devin has a 60% average for the 1st 9 weeks and a 90% average for the 2nd 9 weeks, and 85% on the final exam. The grades are weighted as follows: each 9 weeks 25 % and the final exam 50%. What is his final grade?

Weighted Average

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Weighted Average