Problem 13BSC

Constructing Histograms. In Exercises, construct the histograms and answer the given questions.

Earthquake Magnitudes Use the frequency distribution from Exercise 1 in Section to construct a histogram. Using a loose interpretation of the requirements for a normal distribution, do the magnitudes appear to be normally distributed? Why or why not?

Exercise 1

Constructing Frequency Distributions. In Exercise, use the indicated data and construct the frequency distribution.

Earthquake Magnitudes Refer to the earthquake magnitudes listed in Data Set 16 of Appendix B. Begin with a lower class limit of 0.00 and use a class width of 0.50. Using a very strict interpretation of the requirements for a normal distribution, do the magnitudes appear to be normally distributed?

Answer:

Step 1 of 1

Mag(x) |

0.7 |

0.74 |

0.64 |

0.39 |

0.7 |

2.2 |

1.98 |

0.64 |

1.22 |

0.2 |

1.64 |

1.32 |

2.95 |

0.9 |

1.76 |

1.01 |

1.26 |

0 |

0.65 |

1.46 |

1.62 |

1.83 |

0.99 |

1.56 |

0.4 |

1.28 |

0.83 |

1.34 |

0.54 |

1.25 |

0.92 |

1 |

0.79 |

0.79 |

1.44 |

1 |

2.24 |

2.5 |

1.79 |

1.25 |

1.49 |

0.84 |

1.42 |

1 |

1.25 |

1.42 |

1.35 |

0.93 |

0.4 |

1.39 |

The width of each bar has to be equal and the height has to equal the frequency:

This is in the form,

C - I |
Frequency |

0 - 0.5 |
5 |

0.5 - 1 |
18 |

1 - 1.5 |
19 |

1.5 - 2 |
7 |

2 - 2.5 |
3 |

2.5 - 3 |
2 |

Yes, because the histogram is roughly bell shaped.