Raisel's scores for five assignments in his course are given below.

Assignment 1

Assignment 2

Assignment 3

Assignment 4

Assignment 5

11/152/58/1011/1520/20

For full marks your answers should be given as percents accurate to at least two decimal places.


What is his average percent grade if all assignments are given equal weight?

Simple average = 0.00%




What is his average percent grade if assignments weighted by the number of marks they are out of?

Weighted average = 0.00%




Assignment 1= 11/15
Assignment 2= 2/5
Assignment 3= 8/10
Assignment 4= 11/15
Assignment 5= 20/20

To find Raisel's average percent grade for his assignments, we need to calculate both the simple average and the weighted average.

### Simple Average

The simple average is calculated by taking the average of the percentage grades for each assignment, assuming each assignment has equal weight.

1. **Calculate the percent grade for each assignment:**
   - Assignment 1: \(\frac{11}{15} \times 100 = 73.33\%\)
   - Assignment 2: \(\frac{2}{5} \times 100 = 40.00\%\)
   - Assignment 3: \(\frac{8}{10} \times 100 = 80.00\%\)
   - Assignment 4: \(\frac{11}{15} \times 100 = 73.33\%\)
   - Assignment 5: \(\frac{20}{20} \times 100 = 100.00\%\)

2. **Calculate the simple average:**
   \[
   \text{Simple Average} = \frac{73.33 + 40.00 + 80.00 + 73.33 + 100.00}{5}
   \]
   \[
   \text{Simple Average} = \frac{366.66}{5}
   \]
   \[
   \text{Simple Average} = 73.33\%
   \]

### Weighted Average

The weighted average takes into account the weight of each assignment based on the total marks possible for each.

1. **Calculate the total marks:**
   \[
   \text{Total Marks} = 15 + 5 + 10 + 15 + 20 = 65
   \]

2. **Calculate the weighted average:**
   \[
   \text{Weighted Average} = \frac{(11 \times 100) + (2 \times 100) + (8 \times 100) + (11 \times 100) + (20 \times 100)}{65}
   \]
   \[
   \text{Weighted Average} = \frac{1100 + 200 + 800 + 1100 + 2000}{65}
   \]
   \[
   \text{Weighted Average} = \frac{5200}{65}
   \]
   \[
   \text{Weighted Average} = 80.00\%
   \]

### Summary

- **Simple Average:** \(73.33\%\)
- **Weighted Average:** \(80.00\%\)

Do you want more details or have any questions?

Here are some related questions you might find interesting:
1. How would the average change if Assignment 2 had a score of 4/5 instead of 2/5?
2. What is the highest possible simple average if Raisel scored full marks on all assignments?
3. How does the total number of assignments affect the weighted average?
4. What is the impact on the weighted average if the weight of Assignment 5 is doubled?
5. Can you find the median percent grade for Raisel’s assignments?
6. How would Raisel’s average percent grade change if Assignment 4 had a score of 15/15?
7. What if the assignments had a different distribution of total marks, how would it affect the weighted average?
8. Can you calculate the variance and standard deviation of Raisel's percent grades?

**Tip:** Weighted averages provide a more accurate reflection of performance when the importance of each assignment varies.

Learn how to calculate Raisel's average percent grades from his assignments. Includes step-by-step solutions for both simple average and weighted average calculations, considering equal weights and assignment marks. Suitable for Grades 7-9 students learning about averages and percentages.

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