Chapters
Exercise 1
Calculate the mean for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4.
Exercise 2
Find the mean for the following set of numbers:
3, 5, 2, 6, 5, 9, 5, 2, 8, 6.
Exercise 3
Find the mean for the following series:
3, 5, 2, 7, 6, 4, 9.
3, 5, 2, 7, 6, 4, 9, 1.
Exercise 4
Given the statistical distribution of the table.
| xi | 61 | 64 | 67 | 70 | 73 |
| fi | 5 | 18 | 42 | 27 | 8 |
Calculate the mean.
Exercise 5
A statistical distribution is given by the following table:
| [10, 15) | [15, 20) | [20, 25) | [25, 30) | [30, 35) | |
| fi | 3 | 5 | 7 | 4 | 2 |
Calculate the mean.
Exercise 6
Given the statistical distribution:
| [0, 5) | [5, 10) | [10, 15) | [15, 20) | [20, 25) | [25, ∞) | |
| fi | 3 | 5 | 7 | 8 | 2 | 6 |
Calculate the mean.
Solution of exercise 1
Calculate the mean for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4.
| xi | fi | xi · fi |
| 2 | 2 | 4 |
| 3 | 2 | 6 |
| 4 | 5 | 20 |
| 5 | 6 | 30 |
| 6 | 2 | 12 |
| 8 | 3 | 24 |
| 20 | 96 |
Mean
Solution of exercise 2
Find the mean for the following set of numbers:
3, 5, 2, 6, 5, 9, 5, 2, 8, 6.
2, 2, 3, 5, 5, 5, 6, 6, 8, 9.
Mean
Solution of exercise 3
Find the mean for the series:
3, 5, 2, 7, 6, 4, 9.
Mean
3, 5, 2, 7, 6, 4, 9, 1.
Mean
Solution of exercise 4
Given the statistical distribution of the table.
| xi | 61 | 64 | 67 | 70 | 73 |
| fi | 5 | 18 | 42 | 27 | 8 |
Calculate the mean.
| xi | fi | xi · fi |
| 61 | 5 | 305 |
| 64 | 18 | 1152 |
| 67 | 42 | 2814 |
| 71 | 27 | 1890 |
| 73 | 8 | 584 |
| 100 | 6745 |
Mean
Solution of exercise 5
A statistical distribution is given by the following table:
| [10, 15) | [15, 20) | [20, 25) | [25, 30) | [30, 35) | |
| fi | 3 | 5 | 7 | 4 | 2 |
Calculate the mean:
| xi | fi | xi · fi | |
| [10, 15) | 12.5 | 3 | 37.5 |
| [15, 20) | 17.5 | 5 | 87.5 |
| [20, 25) | 22.5 | 7 | 157.5 |
| [25, 30) | 27.5 | 4 | 110 |
| [30, 35) | 32.5 | 2 | 65 |
| 21 | 457.5 |
Mean
Solution of exercise 6
Given the statistical distribution:
| [0, 5) | [5, 10) | [10, 15) | [15, 20) | [20, 25) | [25, ∞) | |
| fi | 3 | 5 | 7 | 8 | 2 | 6 |
Calculate the mean
| xi | fi | xi · fi | |
| [10, 15) | 12.5 | 3 | 37.5 |
| [15, 20) | 17.5 | 5 | 87.5 |
| [20, 25) | 22.5 | 7 | 157.5 |
| [25, 30) | 27.5 | 4 | 110 |
| [30, 35) | 32.5 | 2 | 65 |
| 21 | 457.5 |
Mean
The mean cannot be calcuated, because the class mark of the last interval cannot be found.
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