Marquez, JoannePeriod 3What is the relationship between birthday and family income and how well do mathematical statistics translate into real-world scenarios? The world population, as of November 2013, is estimated at 7,191,807,376 inhabitants. The global birth rate is estimated at 20.05 births per 1,000 people. The global mortality rate stands at approximately 8.67 deaths per 1,000 people. Certain factors play a role in an individual's potential birth, assuming no abnormalities occur and there is a standard nine-month period between conception and birth. Parents who work in certain professions, such as teaching, for example, can schedule their child's birth in the summer months for convenience. The birthday paradox is a well-known equation that calculates the probability that, among a given group of people, two people were born in the same month and on the same date. The objective of this investigation is to extend the study of the birthday paradox, taking into account family income. The type of data that will be collected is the person's birthday, excluding the year, and family income. The sample group will be selected from a random group including those in the similar age group to me (students of the school). By only including those in my age group, I eliminate other variables. A major difference in years of conception can skew the data. The data will be visualized as a scatterplot to observe if any correlation is present in the information. Additionally, I will compare the statistics of real situations with the data collected and those generated by mathematical means, as will be proven later.The Birthday ParadoxThe Birthday Paradox studies the probability that in a group of p... ... middle of paper ......ch, as an individual's culture and race also have an effect on the child's birthday. Because this was not properly considered and not recorded as a likely factor, skewed data may not be accounted for.ConclusionDespite the aforementioned limitations, this investigation showed that there is no no visible correlation between a family's income scale and a child's birthday, despite my initial hypothesis. Furthermore, the survey clearly shows that mathematical calculations are applicable in real-life situations and can be used to answer questions such as the birthday paradox. Chart 3, for example, can be further tested in a real-world situation, by gathering 50 individuals and testing for a similar birthday. From the mathematical results, it can be assumed that the results obtained in the real situations will be similar to those obtained in the staged mathematical situation..