Mathematical analysis of free throws in playing basketball

Thesis Bachelor of Science in Mathematics University of Rizal System-Morong. 2019

EXECUTIVE SUMMARY This research was conducted to determine and analyze the free throws shoot that has done by the participants. It involved data of 12 participants with ages 18-23. From the aspect of free throw theory and its probability, the data presented was very necessary on intrinsic set of information for future reference. The researchers determined how the players performed free throws during the data gathering. Based on the actual data presented, the increase of the throwing distance results in a linear increase in the variability of the aimed movement. It is a normal issue even during the actual game. However, there is no sufficient argument to doubt a monotonic character in relation between shot proficiency and shooting distance. Furthermore, based on the ranking results per model presented, the higher the probability of free throw in longer distance from the ring, the greater the possibility to develop the skill and continue training. In conclusion, the distance and physical aspects affects the shooting performance. The result implied that the performance of the players depends on their physical fitness. Following on the experimental research study, all players should perform in normal conditions. Their mind should be clear, and their eyesight should not be blurry so they can perform the free throws with higher probability of success. The independent formula used for Lebron James Free Throws Probability as per presented by SAL'S KHAN ACADEMY P(number of Free Throws in a raw) is equal to( (FT^' S percentage)/100) or we may also present it as P(number of Free Throws in a raw)=(%/100) using the exponent of 5 where every distance we also use 5 free throws in a raw is called Free Throw Probability. Our data strongly confirmed that the players (models) will improve more in the free throw aspect if they are given enough time and training. Lastly, this study is recommended to basketball players who desire to enhance their skills and determine the best suitable position for them.