# Football Fanatic Mathematical Research Project

Does the experience of a soccer player, play a big role on the number of juggles they're able to conduct under thirty seconds? Introduction As a passionate soccer player and a fanatica of the game of soccer, the Math Studies Project is aimed to conduct an investigation into the amount of juggles a soccer player can conduct under a 30 seconds, experienced and recreational athletes. In order to carry though the experiment and figure out what influences the amount of juggles per second a soccer player can conduct, data will be collected and critically evaluated.

Comparisons between experienced and recreational athletes will be conducted in order to analyze if whether a soccer player’s experience influences the number of juggles they can manage under a 30 seconds. It is expected that experienced players are able to conduct more juggles per 30 seconds, because they are often placed in tight situations and gain more control during different scenarios of a soccer game, for that reason is the aim of the project and will be evaluated through chi-squared.

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Forty-four subjects will be participating, twenty-two of which were experienced soccer players and twenty-two were recreational athletes.

I will evaluate if experience and number of juggles follow a normal distribution. To do so, I will examine the total of juggles each individual is capable of completing in 30 seconds and later complete a grouped frequency table. With the given information, I will draw a histogram to find out if it makes a normal distribution. so, I will find the mean juggles and standard deviation of the juggles.

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After finding the values, I will find the percentage of juggles per minute of each player, within one, two, three, standard deviations of the If mean and compare each value to the normal distribution.

Then, I will use percentages to compare the performance of the players tests. Using both values (the observed and expected frequencies) I will construct a chi-squared at the 5% significance level to figure out if the data connect the normal distribution. Data Collection In gathering my results, there will be a total of forty-four participants. First each individual will have to juggle the ball for 60 seconds using only one foot and remaining the other on the ground. Secondly, the same technique would be repeated but this time on the other foot. Lastely, they are given 30 seconds to juggle the ball in the air with both feet only. The number of touches is what is recorded. Two trials will be performed to compare the results of the investigation. The test scores is compared to the reliability level, using the Pearson correlation and the coefficient of variation.

Updated: May 22, 2022