From the Exploring Data website - http://curriculum.qed.qld.gov.au/kla/eda/
© Education Queensland, 1997

Olympic Gold Medal Performances

The modern Olympic Games are a modified revival of the Greek Olympian Games that came to be largely through the efforts of the French sportsman and educator Baron Pierre de Coubertin. The Games are an international athletic competition that has been held at a different site every four years since their inauguration in 1896, with occasional interruptions in the times of world wars.

The data for the gold medal performances in long jump, high jump, discus throw are given below (in inches). Year is coded to be zero in 1900.

1. Plot the data for each event on a separate scattergram.

2. Describe the shape of the distribution. Does the relationship between year and performance appear to be linear?

3. Predict the Olympic performance for the Sydney 2000 games.

Year Long Jump High Jump Discus Throw
-4 249.75 71.25 1147.5
0 282.875 74.8 1418.9
4 289 71 1546.5
8 294.5 75 1610
12 299.25 76 1780
20 281.5 76.25 1759.25
24 293.125 78 1817.125
28 304.75 76.375 1863
32 300.75 77.625 1948.875
36 317.3125 79.9375 1987.375
48 308 78 2078
52 298 80.32 2166.85
56 308.25 83.25 2218.5
60 319.75 85 2330
64 317.75 85.75 2401.5
68 350.5 88.25 2550.5
72 324.5 87.75 2535
76 328.5 88.5 2657.4
80 336.25 92.75 2624
84 336.25 92.5 2622
88 343.25 93.5 2709.25
92 342.5 92 2563.75