Let's solve the problem step by step.
We are asked to
find the average of each set of numbers. The
average (also known as the
mean) is calculated using the formula:
$$
\text{Average} = \frac{\text{Sum of all numbers}}{\text{Number of numbers}}
$$
We'll go through each set one by one.
---
Set 1: 78, 29, 120, 34, 59
- Sum: $78 + 29 + 120 + 34 + 59 = 320$
- Count: 5
- Average: $ \frac{320}{5} = 64 $
✔ 64
---
Set 2: 62, 56, 30, 50, 42
- Sum: $62 + 56 + 30 + 50 + 42 = 240$
- Count: 5
- Average: $ \frac{240}{5} = 48 $
✔ 48
---
Set 3: 17, 55, 80, 67, 91
- Sum: $17 + 55 + 80 + 67 + 91 = 310$
- Count: 5
- Average: $ \frac{310}{5} = 62 $
✔ 62
---
Set 4: 51, 19, 60, 22, 48
- Sum: $51 + 19 + 60 + 22 + 48 = 200$
- Count: 5
- Average: $ \frac{200}{5} = 40$
✔ 40
---
Set 5: 200, 71, 82, 125, 42
- Sum: $200 + 71 + 82 + 125 + 42 = 520$
- Count: 5
- Average: $ \frac{520}{5} = 104$
✔ 104
---
Set 6: 55, 52, 25, 150, 178
- Sum: $55 + 52 + 25 + 150 + 178 = 460$
- Count: 5
- Average: $ \frac{460}{5} = 92$
✔ 92
---
Set 7: 32, 47, 118, 71
- Sum: $32 + 47 + 118 + 71 = 268$
- Count: 4
- Average: $ \frac{268}{4} = 67$
✔ 67
---
Set 8: 12, 79, 90, 85, 69
- Sum: $12 + 79 + 90 + 85 + 69 = 435$
- Count: 5
- Average: $ \frac{435}{5} = 87$
✔ 87
---
Set 9: 26, 28, 25, 24, 22
- Sum: $26 + 28 + 25 + 24 + 22 = 125$
- Count: 5
- Average: $ \frac{125}{5} = 25$
✔ 25
---
Set 10: 20, 24, 19, 25, 22
- Sum: $20 + 24 + 19 + 25 + 22 = 110$
- Count: 5
- Average: $ \frac{110}{5} = 22$
✔ 22
---
Set 11: 100, 50, 40, 30, 35
- Sum: $100 + 50 + 40 + 30 + 35 = 255$
- Count: 5
- Average: $ \frac{255}{5} = 51$
✔ 51
---
Set 12: 90, 110, 70, 130
- Sum: $90 + 110 + 70 + 130 = 400$
- Count: 4
- Average: $ \frac{400}{4} = 100$
✔ 100
---
✔ Final Answers:
| Set | Numbers | Average |
|-----|--------|--------|
| 1 | 78, 29, 120, 34, 59 |
64 |
| 2 | 62, 56, 30, 50, 42 |
48 |
| 3 | 17, 55, 80, 67, 91 |
62 |
| 4 | 51, 19, 60, 22, 48 |
40 |
| 5 | 200, 71, 82, 125, 42 |
104 |
| 6 | 55, 52, 25, 150, 178 |
92 |
| 7 | 32, 47, 118, 71 |
67 |
| 8 | 12, 79, 90, 85, 69 |
87 |
| 9 | 26, 28, 25, 24, 22 |
25 |
| 10 | 20, 24, 19, 25, 22 |
22 |
| 11 | 100, 50, 40, 30, 35 |
51 |
| 12 | 90, 110, 70, 130 |
100 |
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Parent Tip: Review the logic above to help your child master the concept of averages worksheet.