Marquez, JoannePeriod 3What is the relationship between birthday and family income, and how well do mathematical statistics translate into real-life scenarios? The world population, as of November 2013, is calculated at 7,191,807,376. The global birth rate is estimated at 20.05 births per 1,000 people. The global mortality rate amounts to approximately 8.67 deaths per 1,000 people. Some factors influence the role of an individual's potential birth, assuming that no anomalies occur and that there is a standard period of nine months from conception to birth. Parents in certain professions, such as teachers, may schedule their child's birth in the summer months for convenience. The birthday paradox is a well-known equation that calculates the probability that, in a given group of people, two people were born in the same month and date. The task 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 individual's date of birth, excluding the year, and family income. The sample group will be selected from a random group including people of similar age group to me (students of the school). By only including those in my age group, I eliminate additional variables. A major difference in the years of conception can cause data distortion. The data will be displayed in the form of a scatter plot to see if there is a correlation in the information. Furthermore, I will compare statistics in real-life situations with collected data and those generated by mathematical means, as will be demonstrated later. The birthday paradox The birthday paradox investigates the probability that, in a group of of the child. As this was not adequately taken into account and was not recorded as a likely factor, biased data may not be taken into account. Conclusion Despite the limitations mentioned above, this investigation has shown that there is no visible correlation between a family's income range and the child's date of birth, despite my original hypothesis. Furthermore, the investigation clearly shows that mathematical calculations are applicable in real-life situations and can be used to answer questions such as the birthday paradox. Graph 3, for example, can be further tested in a real-world situation by gathering 50 individuals and testing similar birthdays. From the mathematical results it can be assumed that situations in real life will be similar to those of the staged mathematical situation.