Of course! I'll solve each problem step by step and explain how to calculate the
mean (also called the average) of a data set.
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✔ What is the Mean?
The
mean is calculated by:
>
Adding all the numbers in the data set, then dividing by the total number of values.
Formula:
Mean = (Sum of all values) ÷ (Number of values)
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Let’s solve each pair one by one.
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## 🔹 First Row:
1. Data Set: `6, 9, 10, 19, 16`
- Sum = 6 + 9 + 10 + 19 + 16 =
50
- Number of values =
5
- Mean = 50 ÷ 5 =
10
✔ Answer: Mean = 10
---
2. Data Set: `4, 5, 5, 4, 2`
- Sum = 4 + 5 + 5 + 4 + 2 =
20
- Number of values =
5
- Mean = 20 ÷ 5 =
4
✔ Answer: Mean = 4
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## 🔹 Second Row:
3. Data Set: `7, 4, 2, 5, 9, 9`
- Sum = 7 + 4 + 2 + 5 + 9 + 9 =
36
- Number of values =
6
- Mean = 36 ÷ 6 =
6
✔ Answer: Mean = 6
---
4. Data Set: `7, 8, 1, 5, 1, 2`
- Sum = 7 + 8 + 1 + 5 + 1 + 2 =
24
- Number of values =
6
- Mean = 24 ÷ 6 =
4
✔ Answer: Mean = 4
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## 🔹 Third Row:
5. Data Set: `9, 14, 14, 8, 20`
- Sum = 9 + 14 + 14 + 8 + 20 =
65
- Number of values =
5
- Mean = 65 ÷ 5 =
13
✔ Answer: Mean = 13
---
6. Data Set: `8, 4, 4, 9, 6, 2, 9`
- Sum = 8 + 4 + 4 + 9 + 6 + 2 + 9 =
42
- Number of values =
7
- Mean = 42 ÷ 7 =
6
✔ Answer: Mean = 6
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## 🔹 Fourth Row:
7. Data Set: `17, 14, 20, 7, 20, 6`
- Sum = 17 + 14 + 20 + 7 + 20 + 6 =
84
- Number of values =
6
- Mean = 84 ÷ 6 =
14
✔ Answer: Mean = 14
---
8. Data Set: `7, 1, 3, 3, 1, 9`
- Sum = 7 + 1 + 3 + 3 + 1 + 9 =
24
- Number of values =
6
- Mean = 24 ÷ 6 =
4
✔ Answer: Mean = 4
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## 🔹 Fifth Row:
9. Data Set: `7, 1, 3, 3, 1, 9`
*(This is the same as #8 above — probably a repeat or typo)*
- Sum = 24
- Count = 6
- Mean = 24 ÷ 6 =
4
✔ Answer: Mean = 4
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10. Data Set: `9, 6, 2, 3, 5`
- Sum = 9 + 6 + 2 + 3 + 5 =
25
- Number of values =
5
- Mean = 25 ÷ 5 =
5
✔ Answer: Mean = 5
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## 📋 Final Answers Summary:
| Data Set | Mean |
|---------------------------|------|
| 6, 9, 10, 19, 16 | 10 |
| 4, 5, 5, 4, 2 | 4 |
| 7, 4, 2, 5, 9, 9 | 6 |
| 7, 8, 1, 5, 1, 2 | 4 |
| 9, 14, 14, 8, 20 | 13 |
| 8, 4, 4, 9, 6, 2, 9 | 6 |
| 17, 14, 20, 7, 20, 6 | 14 |
| 7, 1, 3, 3, 1, 9 | 4 |
| 7, 1, 3, 3, 1, 9 | 4 |
| 9, 6, 2, 3, 5 | 5 |
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✔ All done! Let me know if you’d like to see these solved with diagrams or step-by-step arithmetic breakdowns for any specific one.
Parent Tip: Review the logic above to help your child master the concept of mean worksheet.