Lap time
DeciMin |
---|

2.58 |

2.37 |

2.32 |

2.40 |

2.35 |

2.37 |

2.45 |

2.45 |

2.53 |

2.47 |

2.42 |

2.42 |

2.42 |

2.48 |

2.42 |

2.28 |

2.87 |

2.77 |

2.72 |

2.78 |

2.85 |

2.92 |

2.83 |

2.90 |

2.77 |

3.13 |

2.97 |

2.92 |

2.80 |

2.77 |

2.37 |

### Quiz Two • Name:

Although I more often run along the roads of Kolonia, every once in a while I run laps at the PICS track. The data in the table includes two different evenings of track laps. Your task will be to sketch a frequency histogram of the lap times on this quiz paper.

I would recommend that you cut and past the data into OpenOffice to prevent typing errors.

Note that the data is in decimal minutes. That is, 2.5 is 2 minutes and 30 seconds. 2.25 would be 2 minutes and 15 seconds. You do not have to worry about this conversion, just use the decimal time data for your frequency histogram.

- _________ What level of measurement is lap data?
- _________ Determine the sample size
**n** (number of laps).
- _________ Determine the minimum lap time.
- _________ Determine the maximum lap time.
- _________ Calculate the range.
- _________ Determine the bin width. Use 5 bins.
- Fill in the following table with the bin upper limits in the first column, the frequencies in the second column, and the relative frequencies in the third column.
Bins | Frequency | Relative Frequency f/n |

_________ | _________ | _________ |

_________ | _________ | _________ |

_________ | _________ | _________ |

_________ | _________ | _________ |

_________ | _________ | _________ |

Sums: | _________ | _________ |

- Sketch the frequency histogram of the lap data on this paper.
- _________ What is the shape of the distribution?
- Toughie: On one evening I ran in lane 2 (422 meters actual length) and on the second evening I ran in lane 6 (454 meters actual length). Given that I ran at the same pace each evening, does the shape of the histogram show evidence of running in two different laps?

What is that evidence?