### MS 150 Statistics spring 2007 test one • Name:

Angie's
burgers |

15 |

12 |

7 |

23 |

17 |

25 |

12 |

14 |

15 |

5 |

9 |

12 |

18 |

16 |

16 |

8 |

7 |

18 |

14 |

17 |

The number of burgers served per night over the course of twenty nights on the right is based on an informal conversation at a local restaurant. Like many shows on television, these numbers are based on real statistics but the individual numbers are completely fictional.

- __________ What is the level of measurement?
- __________ Find the sample size n.
- __________ Find the minimum.
- __________ Find the maximum.
- __________ Find the range.
- __________ Find the mode.
- __________ Find the median.
- __________ Find the sample mean x.
- __________ Find the midrange.
- __________ Find the sample standard deviation sx.
- __________ Find the sample coefficient of variation CV.
- __________ If this data is to be divided into five bins, what is the width of a single bin?
- Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table provided.
Burger bin upper limits | Frequency F | Relative Frequency |

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**Sums:** | | |

- Sketch a
**frequency** histogram of the data, labeling your horizontal axis and vertical axis as appropriate. Use the back of this sheet if necessary.
- __________ What is the shape of the histogram?
- z = __________ Use the formula z = (x - x)/sx to find the z-score for a night on which 25 burgers were sold.
- _________________ Is 25 burgers in one night an ordinary number of burgers or an unusual number of burgers?

- __________ A data set consists of the names of the seasons: winter, fall, spring, summer, nanrek (breadfruit), nanisol (scarcity), nanpar (tradewind), puhlan pacl ohu (cold), tuhka (dry), puhlan pack fol (hot), uwam maii (breadfruit), uwan puna (taro), licheg (calm air & seas). What level of measurement is this data?
- __________ For the seasons data, what is the best measure of the middle?
- __________ For the seasons data, what is the value of that measure of the middle?

[Unmarked research question] What are the seasons of your culture - give the season and meaning of the season name, if any.