June 26, 2019

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.

x_{i } | 61 | 64 | 67 | 70 | 73 |

f_{i} | 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) | |

f_{i} | 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, ∞) | |

f_{i} | 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.

x_{i } | f_{i} | x_{i} · f_{i} |

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.

x_{i } | 61 | 64 | 67 | 70 | 73 |

f_{i} | 5 | 18 | 42 | 27 | 8 |

Calculate the mean.

x_{i } | f_{i} | x_{i} · f_{i} |

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) | |

f_{i} | 3 | 5 | 7 | 4 | 2 |

Calculate the mean:

x_{i } | f_{i} | x_{i} · f_{i} | |

[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, ∞) | |

f_{i} | 3 | 5 | 7 | 8 | 2 | 6 |

Calculate the mean

x_{i } | f_{i} | x_{i} · f_{i} | |

[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.