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The women’s heptathlon in the Olympics consists of seven track and field events:

ID: 3128220 • Letter: T

Question

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean. The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean. Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds). Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (note that the standard deviation of the long jumps was 30 cm). Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.

Explanation / Answer

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean.

8/5=1.6

The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean.

Z=60/30=2

Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds).

Z= 8/5 = 1.6

Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (note that the standard deviation of the long jumps was 30 cm).

Z=60/30=2

Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.

Z score of runners are 1.6 and the long jumpers are 2 which is higher.

The long jumpers are outstanding.