### Journals Information

Mathematics and Statistics Vol. 10(6), pp. 1141 - 1158
DOI: 10.13189/ms.2022.100601
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## Mathematical Model for 100- and 200-meter Olympic Games Running Championship Time Records

Agung Prabowo 1,*, Ngadiman 2
1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Jenderal Soedirman, Purwokerto, Indonesia
2 Department of Physical Education, Faculty of Health Sciences, Universitas Jenderal Soedirman, Purwokerto, Indonesia

ABSTRACT

The 100 and 200- meter running championships for both males and females were first held in 1948 at London Olympic Games 1948. Some time records made by the running champions have been continuously improved. Thus, running championship is not only intended to win the gold medals but also to make new world records. The secondary data were in the form of running championships' time records used to formulate the mathematical models and determine the minimum time limits (fastest). This research used the time-record data of 100 and 200- meter running championships for both males and females winning the gold medals from the Olympic Games held in 1948 to 2020. The mathematical Model for 100 and 200- meter running championships was more appropriately formulated using a logarithmic regression equation. Meanwhile, the time records for running championships of 100 meters for females as well as those of 200 meters for both males and females used a simple linear regression. The world record for running 100 meters for males still belongs to Usain Bolt (9.63 seconds). By using an assumption that the time records are normally distributed, those time records can be broken/improved into 9.53 seconds. Moreover, if the analysis is made using a box-plot diagram, the fastest time can be 9.42 seconds. A similar conclusion was also obtained for the world records of running 100 meters for females and 200 meters for males and females mentioning that the recently achieved time records still can be broken/improved in the future.

KEYWORDS
Mathematical Model, Olympic Games, Simple Linear Regression, Logarithmic Regression, Fastest Time

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Agung Prabowo , Ngadiman , "Mathematical Model for 100- and 200-meter Olympic Games Running Championship Time Records," Mathematics and Statistics, Vol. 10, No. 6, pp. 1141 - 1158, 2022. DOI: 10.13189/ms.2022.100601.

(b). APA Format:
Agung Prabowo , Ngadiman (2022). Mathematical Model for 100- and 200-meter Olympic Games Running Championship Time Records. Mathematics and Statistics, 10(6), 1141 - 1158. DOI: 10.13189/ms.2022.100601.