Problem 27BSC

Large Data Sets from Appendix B.

In Exercises, refer to the indicated data set in Appendix B. Use computer software or a calculator to find the means and medians.

Presidential Longevity

Refer to Data Set 12 in Appendix B and use the numbers of years that U.S. presidents have lived after their first inauguration. What is the value of finding the mean of those numbers?

Answer :

Step 1 of 1 :

Presidential Longevity

Refer to Data Set 12 in Appendix B and use the numbers of years that U.S. presidents have lived after their first inauguration.

Consider the data

Years

10 |
24 |

29 |
12 |

26 |
4 |

28 |
18 |

15 |
21 |

23 |
11 |

17 |
2 |

25 |
9 |

0 |
36 |

4 |
12 |

1 |
28 |

16 |
16 |

12 |
3 |

4 |
9 |

17 |
25 |

16 |
23 |

0 |

Now we have to find the (a) mean, (b) median.

a).

Mean :

Mean is calculated by adding up all the number and dividing that sum by the total number of numbers.

The formula for Mean is

Mean =

Mean =

Mean =

Mean = 15.0303

Therefore mean is 15.0303

b).

Median :

Median is the middle value in the list of numbers. To calculate the Median value, the list should be arranged in the ascending order first.

We arranged the data in the ascending.

Years

0 |
16 |

0 |
16 |

1 |
17 |

2 |
17 |

3 |
18 |

4 |
21 |

4 |
23 |

4 |
23 |

9 |
24 |

9 |
25 |

10 |
25 |

11 |
26 |

12 |
28 |

12 |
28 |

12 |
29 |

15 |
36 |

16 |

Median = 16

Therefore median is 16

Hence the mean is 15.0303 and the median is 16

The mean is the average number of years that a president is expected to live after the first inauguration.