The Birthday Paradox is the chance of 23 people in the same room to have the same birthday. It’s a 50 percent chance that there is. Surprisingly, the answer is only 23 people to have at least a 50 percent chance of a match. This goes up to 70 percent for 30 people, 90 percent for 41 people, 95 percent for 47 people. With 57 people there is better than a 99 percent chance of a birthday match. In my project i’m doing 50 people to have a better outcome. The concepts of this project is mathematical probability and Statistics. The purpose of the project is to find out if at least two people have the same birthday. My project proves that people were born on the same day. Probability is the mathematical science that deals with events that cannot …show more content…
Data are the facts and figures that are collected, analyzed, and summarized for presentation and interpretation. Statistics was developed in the early 19th century as the study of populations, economies, and moral actions and later in that century as the mathematical tool for analyzing such numbers. Examples of Statistics that are used today are Mean, Median ,Mode and Range, Histograms and Stem and leaf plots. Sample survey methods are used to collect data from observational studies, and experimental design methods are used to collect data from experimental studies. The area of descriptive statistics is concerned primarily with methods of presenting and interpreting data using graphs, tables, and numerical summaries. Whenever statisticians use data from a sample., a subset of the population—to make statements about a population, they are performing statistical inference. The population is how many people i'm doing for my project which is 50 people. Estimation and hypothesis testing are procedures used to make statistical conclusions. Probability plays a key role in statistical inference, it is used to provide measures of the quality and precision of the inferences. Some of these methods are used primarily for single-variable studies, while others, such as regression and correlation analysis, are used to make inferences about relationships among two or more variables. A paradox is a statement that, despite apparently sound reasoning from true premises, leads to a self-contradictory or a logically unacceptable conclusion. The purpose of a paradox is to arrest attention and provoke fresh thought. An entertaining example is to determine the probability that in a randomly selected group of n people at least two have the same birthday. If one assumes for simplicity that a year contains 365 days and that each day is equally likely to be the birthday of a randomly selected person, then
• Provide at least two examples or problem situations in which statistics was used or could be used.
Research results tell us information about data that has been collected. Within the data results, the author states the results are statistically significant, meaning that there is a relationship within either a positive and negative correlation. The M (Mean) of the data tells the average value of the results. The (SD) Standard Deviation is the variability of a set of data around the mean value in a distribution (Rosnow & Rosenthal, 2013).
Explain how the data collected will provide the data necessary to support or negate the hypothesis or proposition
the audience, and it is hard to put it to perspective. Therefore, a statistic is appealing to the
In the texts “That That Elusive Birth Order and What it Means for You,” and “How Birth Order Affects Your Personality,” the authors give their interpretation on the importance of birth order in siblings. The author of the first text, Susan Whitbourne, stresses the unimportance of birth order. Conversely, Joshua Hartshorne, the author of the second text, says that birth order is significant to personality, but there just has not been enough evidence until recent studies.
4. a) An example of statistics is the statement “Between the ages of 15 and 24, they take their lives five times as often.”
For example, in the text while telling the reader about the sad majority of kids that don't participate in athletic activities, the author shares, "61.5% of children aged 9-13 years old do not participate in any organized physical activity during their non-school hours and 22.6% do not participate in any free time physical activity" (986). This demonstrates an example of the author using statistics to try and persuade the reader. This is important because it helps the reader further understand the problem that is the lack of athleticism in younger children and how dodgeball in school could be a contributing factor to that. Another example is when the author talks about the overweight population in youth and its relation to dodgeball in school. The author shares, "16% of the US youth aged 6-19 are overweight" (986).
In the video Don't Be Fooled By Bad Statistics posted by Emily Dressler three forms of bad statistics are discussed, poorly collected data, leading questions, and misuse if center. Information collected poorly will lead to misleading results and false conclusions. Dressler uses the example of data collected by researchers pertaining to magazine preference during business hours. The data is skewed because of the time of day the information was gleaned rendered the sample not representative of the entire population. Another form of bad statistics has to do with how the desired information was elicited. Leading questions may result in biased responses. Questions need to be worded carefully so the information collected is not influenced by the interviewer. Finally, the video talks about misuse of center. Data can be misleading if not appropriately analyzed. Outliers, an individual value that falls outside the overall pattern of data can prejudice the conclusion leading to incorrect assumptions. An example might be that of the man who drowned in a pond with an average dept of one inch. The pond was one quarter inch deep everywhere but in the center where there was a ten foot hole.
Damned Lies and Statistics Reflection Damned Lies and Statistics by Joel Best gives the reader a whole new perspective on the idea of quantitative data. His central argument is that just because someone gives you a statistic doesn’t mean that statistic is accurate. He informs people to pay attention to the statistics that they see and hear about. People naturally assume that because they are being given a number, that number has to be true. Joel Best teaches us to be more observant of numbers and to ask questions such as who is presenting these numbers and why they are presenting them.
Statistics, facts, data, and comparisons are absorbing and challenging to present in a way that is anything other than, well, boring. For purposes of an informational presentation, the statistics are unavoidable. However, in this
In his 2013 book, Naked Statistics, Charles Wheelan explains a field that is commonly seen, commonly applied, and commonly misinterpreted: statistics. Though statistical data is ubiquitous in daily life, valid statistical conclusions are not. Wheelan reveals that when data analysis is flawed or incomplete, faulty conclusions abound. Wheelan’s work uncovers statistics’ unscrupulous potential, but also makes a key distinction between deliberate misuse and careless misreading. However, his analysis is less successful in distinguishing common sense from poor judgement, a gap that enables the very statistical issues he describes to perpetuate themselves.
A skilled mathematician named Joseph Mazur heard his favorite coincidence stories in the back of a van. The driver named Francesco was an Italian language teacher that had to teach Italian to a girl named Manuela. In the lobby of a hotel Francesco and Manuela talked and got to know each other, noting that Manuela already had perfect Italian, they realized that Francesco had the wrong Manuela and Manuela had the Francesco. Mazur wrote a book called “Fluke” that was all about coincidences and this example was used in his book. He also says in his book that most coincidences get explained by easy mathematics. People are usually surprised that somebody has the same birthday as them, but they shouldn’t be. Mathematicians call this the “the birthday problem,” and they figure it out by saying, “How many people do you need in a group to have a 50-50 chance that two people have the same birthday?” They say that if there is 366 people in a group there will obviously be two people with the same birthday.
The Birthday Rule is method used by healthcare plans to decide which adults are the primary payer and secondary payer. The decisions of who becomes the primary payer it not chosen by year but the months followed by calendar. For example, my birthdate is June 22, 1986 and my fiancé is December 16, 1981. According to the guidelines I would be chosen as the primary payer and he would be considered the secondary payer. The payment process responsibility of the primary payer and the secondary payer is primary payer pays the expenses owed on the bill charge master and the secondary payer will pay the remaining balance if there is any left from original charge master. After all expenses accounted for then a claim is sent to the primary payer and secondary
Throughout the short story, The Birthday, the writer, Samantha Ashenhurst uses the writing tool: Get the name of the dog. To begin with, Samantha begins the story with a descriptive introduction, which gives the reader the ability to visualize the current circumstance’s atmosphere. For instance, the author mentions the specific kind of drink and pizza, the color of the blinds, the exact number of times she pukes, and takes medicine, etc. She describes the background’s setting in details as well. In my opinion, Samantha’s very specific, which portrays how honest she is. This also leads to building the writer’s own distinct voice. Thus, this effectively initiates a connection with the reader psychologically.
What they don 't understand about birthdays and what they never tell you is that when you 're eleven,