Let's solve each data set step by step to find the
mean.
The
mean is calculated using the formula:
$$
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
$$
---
1. Data Set: 6, 9, 10, 19, 16
- Sum = 6 + 9 + 10 + 19 + 16 =
60
- Number of values = 5
- Mean = $ \frac{60}{5} = 12 $
✔ Mean = 12
---
2. Data Set: 4, 5, 5, 4, 2
- Sum = 4 + 5 + 5 + 4 + 2 =
20
- Number of values = 5
- Mean = $ \frac{20}{5} = 4 $
✔ Mean = 4
---
3. Data Set: 7, 4, 2, 5, 9, 9
- Sum = 7 + 4 + 2 + 5 + 9 + 9 =
36
- Number of values = 6
- Mean = $ \frac{36}{6} = 6 $
✔ Mean = 6
---
4. Data Set: 7, 8, 1, 5, 1, 2
- Sum = 7 + 8 + 1 + 5 + 1 + 2 =
24
- Number of values = 6
- Mean = $ \frac{24}{6} = 4 $
✔ Mean = 4
---
5. Data Set: 9, 14, 14, 8, 20
- Sum = 9 + 14 + 14 + 8 + 20 =
65
- Number of values = 5
- Mean = $ \frac{65}{5} = 13 $
✔ 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 = $ \frac{42}{7} = 6 $
✔ Mean = 6
---
7. Data Set: 17, 14, 20, 7, 20, 6
- Sum = 17 + 14 + 20 + 7 + 20 + 6 =
84
- Number of values = 6
- Mean = $ \frac{84}{6} = 14 $
✔ Mean = 14
---
8. Data Set: 7, 1, 3, 3, 1, 9
- Sum = 7 + 1 + 3 + 3 + 1 + 9 =
24
- Number of values = 6
- Mean = $ \frac{24}{6} = 4 $
✔ Mean = 4
---
9. Data Set: 7, 1, 3, 3, 1, 9 (Same as above)
- Sum = 7 + 1 + 3 + 3 + 1 + 9 =
24
- Number of values = 6
- Mean = $ \frac{24}{6} = 4 $
✔ Mean = 4
---
10. Data Set: 9, 6, 2, 3, 5
- Sum = 9 + 6 + 2 + 3 + 5 =
25
- Number of values = 5
- Mean = $ \frac{25}{5} = 5 $
✔ Mean = 5
---
✔ Final Answers:
| Data Set | Mean |
|---------|------|
| 6, 9, 10, 19, 16 |
12 |
| 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 |
> 📌 Note: The ninth data set is identical to the eighth, so it has the same mean.
Let me know if you'd like this formatted for printing or a worksheet!
Parent Tip: Review the logic above to help your child master the concept of average worksheet.
