Question

A firm wants to establish how long it is supposed to take to assemble a certain product.

A random sample of 13 employees is selected and the company measures how long it takes each of them to assemble the product rounded to the nearest minute.

Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15

Solve the following by hand.

You must show your work including the formulas and all your
computations.

3. The mean is: _______

4. The median is: _____

5. The mode is: ______

6. The first quartile is: ____

7. The third quartile is: ____

8. The range is: ______

9. The IQR is: ______

10. The variance is: ______

11. The standard deviation is: ______

12. The coefficient of variation is: ______

13. Convert the 8 into a Z-score: _______

14. Convert the 30 into a Z-Score _______

15. Which of the following is not a measure of location?

(a) mean (b) median (c) variance (d) percentile (e) quartile

Answer #1

Mean | 23.15385 |

Median | 19 |

Mode | 45 |

The first quartile is | 14 |

The third quartile is | 30 |

The range is: | 40 |

The IQR is | 16 |

The variance is: | 198.31 |

The standard deviation is: _ | 14.08 |

The coefficient of variation is | 0.61 |

Formula Ref:

Mean | =AVERAGE(A1:A13) |

Median | =MEDIAN(A1:A13) |

Mode | =MODE(A1:A13) |

The first quartile is | =QUARTILE(A1:A13,1) |

The third quartile is | =QUARTILE(A1:A13,3) |

The range is: | =MAX(A1:A13)-MIN(A1:A13) |

The IQR is | =F8-F7 |

The variance is: | =VAR(A1:A13) |

The standard deviation is: _ | =STDEV(A1:A13) |

The coefficient of variation is | =F12/F4 |

Convert the 8 into a Z-score: | Z = (x- μ) / σ |

Z =(8 - 23.15) / 14.08

Z = -1.08

Convert the 30 into a Z-Score

Z =(30- 23.15) / 14.08

Z = 0.49

Which of the following is not a measure of location?

Variance

A firm wants to establish how long it is supposed to take to
assemble a certain product.
A random sample of 13 employees is selected and the company
measures how long it takes each of them to assemble the product
rounded to the nearest minute.
Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15
Solve the following by hand.
You must show your work including the formulas and all your
computations.
3. The mean is:...

A firm wants to establish how long it is supposed to take to
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selected and the company measures how long it takes each of them to
assemble the product rounded to the nearest minute.
Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15
Solve the following by hand.
You must show your work including the formulas and all your
computations.
10. The variance is:...

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