Principles Of Satistics: Worlds Richest People Case Study

669 words - 3 pages

Module 2 – Organizing and Describing Data
Written Assignment 2 - In your own words, interpret the data and note the shape of the distribution of the data provided from Case Study: World's Richest People (Chapter 2, p. 36).

Sample | Category | Frequency per Category | Rel. frequency per category (%) |
Citizenship | Mexico | 1 | 4.00% |
| United States | 14 | 56.00% |
| Spain | 1 | 4.00% |
| Hong Kong | 2 | 8.00% |
| France | 2 | 8.00% |
| Sweden | 1 | 4.00% |
| Germany | 1 | 4.00% |
| India | 1 | 4.00% |
| Italy | 1 | 4.00% |
| Canada | 1 | 4.00% |

From the frequency distribution table listed above, the country with the largest amount of the world’s richest people is the United States with 56% of the world’s richest people. It also shows that of the countries that have one of the world’s richest people, 7 out of 10 of the ...view middle of the document...

Using a histogram shows the view of the data and what type of distribution is used. A stem-and-leaf plot starts at 1 and moves up to 9 showing a distinct right skew. A histogram begins with the fist age range in which the youngest individuals fall in to. This plot shows a left skewed distribution however it is harder to see. You can also see the range of 60 to 79 year old people have the most number of world’s richest and based on the United State having 56% of the world’s richest most of people in those ranges are from the United States.
Using the data from the stem-and-leaf plot we can extract the actual ages of all the world’s richest people and find the sample mean and median of the data. The sample median is found highlighted below.
39 40 49 55 56 57 58 63 64 65 65 68 69 71 73 73 77 77 79 82 84 85 88 90 93
The sample mean () can be found by adding up all the ages and dividing by the number of people or the world’s richest people.

The median of the sample tells us that the middle age of all the world’s richest people is 69, and the average age or sample mean age is 68.8 years old.
Using the sample standard deviation below from the data from the stem-and-leaf plot and the sample mean we find that sample standard deviation is 14.66 from the sample mean of the data and based on the histogram the data falls in line with a left skewed distribution.
x |
| x- |   |
39 | -29.80 | 888.04 |
40 | -28.80 | 829.44 |
49 | -19.80 | 392.04 |
55 | -13.80 | 190.44 |
56 | -12.80 | 163.84 |
57 | -11.80 | 139.24 |
58 | -10.80 | 116.64 |
63 | -5.80 | 33.64 |
64 | -4.80 | 23.04 |
65 | -3.80 | 14.44 |
65 | -3.80 | 14.44 |
68 | -0.80 | 0.64 |
69 | 0.20 | 0.04 |
71 | 2.20 | 4.84 |
73 | 4.20 | 17.64 |
73 | 4.20 | 17.64 |
77 | 8.20 | 67.24 |
77 | 8.20 | 67.24 |
79 | 10.20 | 104.04 |
82 | 13.20 | 174.24 |
84 | 15.20 | 231.04 |
85 | 16.20 | 262.44 |
88 | 19.20 | 368.64 |
90 | 21.20 | 449.44 |
93 | 24.20 | 585.64 |
  |
|   | |
| | = 5156.00 |
|
| = 68.8 | |

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