Estimating Standard Deviation with the Range Rule of Thumb. In Exercises,refer to the data in the indicated exercise. After finding the range of the data, use the range ruh of thumb to estimate the value of the standard deviation. Compare the result to the standard deviation computed with all of the data.

Flight Data Refer to Data Set 15 and use the times required to taxi out for takeoff.

Answer

Taxi out(x) |
(x-) |

30 |
102.2121 |

19 |
0.7921 |

12 |
62.2521 |

19 |
0.7921 |

18 |
3.5721 |

22 |
4.4521 |

37 |
292.7521 |

13 |
47.4721 |

14 |
34.6921 |

15 |
23.9121 |

31 |
123.4321 |

15 |
23.9121 |

16 |
15.1321 |

14 |
34.6921 |

15 |
23.9121 |

27 |
50.5521 |

19 |
0.7921 |

22 |
4.4521 |

Total=358 |
849.78 |

Step 1 of 3</p>

Range=Largest value-Smallest value

=37-12

=25

Standard deviation with range rule of thumb=Range/4

=25/4

=6.25

Step 2 of 3</p>

=

=

=19.89

Variance=

=

=47.21