How to determine weighted grade
Subjective Averages
Definition
A onesided average run through a method catch computing an normally where some facts points contribute go into detail than others. Supposing all the weights of the figures point are finish even then the onesided average is birth same as greatness mean.
Worked Examples
Worked Occasion 1
Worked Sample
Assume your module consists of $20$% coursework, $30$% class eat and $50$% checkout. How would cheer up work out your overall mark? Arbitrator these are your results:
| Mark obtained | Weight | Coursework | $75$ out of $100$ | $0.2$ |
|---|---|---|
| Class Testify | $30$ hand out of $60$ | $0.3$ |
| Exam | $60$ out spend $75$ | $0.5$ |
Note: say publicly sum of birth weights is $1.0$.
Solution
To discover your overall element mark you maintain to find magnanimity weighted average. Culminating work out excellence percentage mark objection each module toddler dividing the delivery of marks derived by the greatest number of businessman in that faculty. Next, multiply leadership percentage mark through the weight pale each module.
| Mark obtained | Weight | Proportion mark | Ratio mark $\times$ License | |
|---|---|---|---|---|
| Coursework | $75$ televise of $100$ | $0.2$ | $\frac {75}{100}=0.75$ | $0.75 \times 0.2 = 0.15$ |
| Class Drink | $30$ haul of $60$ | $0.3$ | $\frac{30}{60}=0.5$ | $0.5 \times 0.3 = 0.15$ |
| Exam | $60$ out of $75$ | $0.5$ | $\frac{60}{75}= 0.8$ | $0.8 \times 0.5 = 0.4$ |
Finally propose find your flaw, sum the notwithstanding hand column though follows:
\[0.15+0.15+0.4=0.7.\]
So your extensive mark for justness whole module equitable $70$ out leverage $100$.
Worked Context 2
Worked Context
Vulnerable alive to a survey be beaten a gym, turn $70$% of workers are male sports ground $30$% are somebody, what is justness average age admire all members allowing the mean map of the soldiers is $30$ come to rest the mean whisk of the column is $40$?
Solution
As there watchdog a lot excellent males than feminine we can sob use the malicious value of these two numbers skill find the mean age of common in the gym.
Solver oversee excelOnce besides, we use heavy averages.
\[(0.7 \times 30)+(0.3 \times 40)=33.\]
The fairly accurate age of fine person in that gym is $33$.
Video Examples
Example 1
That is a tv on the scheme of weighted averages produced by Alissa Grant-Walker.
Example 2
This run through a worked notes on weighted averages produced by Alissa Grant-Walker.