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.

Presidential Longevity Data Set 12 and use the numbers of years that U.S. presidents have lived after their first inauguration.

Answer

Years(x) |
(x-) |

10 |
9.3025 |

29 |
254.4025 |

26 |
167.7025 |

28 |
223.5025 |

15 |
3.8025 |

23 |
99.0025 |

17 |
15.6025 |

25 |
142.8025 |

0 |
170.3025 |

4 |
81.9025 |

1 |
145.2025 |

16 |
8.7025 |

12 |
1.1025 |

4 |
81.9025 |

17 |
15.6025 |

16 |
8.7025 |

0 |
170.3025 |

24 |
119.9025 |

12 |
1.1025 |

4 |
81.9025 |

18 |
24.5025 |

21 |
63.2025 |

11 |
4.2025 |

2 |
122.1025 |

9 |
16.4025 |

36 |
526.7025 |

12 |
1.1025 |

28 |
223.5025 |

16 |
8.7025 |

3 |
101.0025 |

9 |
16.4025 |

25 |
142.8025 |

0 |
170.3025 |

23 |
99.0025 |

0 |
170.3025 |

0 |
170.3025 |

0 |
170.3025 |

0 |
170.3025 |

Total=496 |
4003.895 |

Step 1 of 3</p>

Range=Largest value-Smallest value

=36-0

=36

Standard deviation with range rule of thumb=Range/4

=36/4

=9

Step 2 of 3</p>

Here no. of observations(n)=38

= =

=13.05

Variance=

=

=105.37