Probability and Statistics Project

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Probability and Statistics Project – Due Tuesday, 3/15 at 11:59pm.Directions In this project, you are going to graphically present and calculate statistics of a set of data that you gather. In addition, you will use the data to answer various probability/counting questions. The information in the file will instruct you on how to gather your data and what you will then do with the data.The Data You will gather the ages (in years) of all of your immediate family members (parents, siblings) and extended family members (grandparents, aunts, uncles, cousins). You should gather no more than 20 ages (in the case that you have a large family).Graphically Presenting the Data You will be presenting the data in a number of ways. Use a separate page for each. 1. A table, with all the data present, that shows the individuals, their relationship to you, and age. 2. A stem-and-leaf plot that shows all the ages in your set of data. 3. A stem-and-leaf plot that shows all the ages of males and females “back-to-back”. 4. A bar graph that shows the number of individuals in the age categories below. Babies (0-1); Children (2 – 12); Teens (13-19); Young Adults (20 – 29); Adults (30 – 69); Seniors (70+)Statistics Calculate and present the following statistics for your data. You may use StatCrunch, but you need to do screen captures of the results and paste them in your project paper. Please number them and present them in a neat and organized manner. Use a separate sheet for each item.Mean, median and mode age for all data.Find quartiles and draw a boxplot for all data.
Mean, median and mode age for all males.Find quartiles and draw a boxplot for all males.Mean, median and mode age for all females.Find quartiles and draw a boxplot for all females.Probability Use your collected data to answer the questions that appear on the “Probability/Counting Questions” page. Show all work. If you use StatCrunch, make screen captures and place them in the document.Project Materials/AssemblyYour project should include a title page with your name and the date. All of the pages of the project should be in the order mentioned above.Grading The following will be used in determining your grade: completeness, accuracy, neatness, organization, and presentation.Your project will be due on Tuesday, March 15 by 11:59pm. It should be uploaded in the Folder under Assignments in D2L by that time.Probability/Counting QuestionsDirections Use the data that you have collected for your Probability and Statistics Project to answer the following questions. All work (or screen captures of StatCrunch) should be shown in the space provided.Questions Assume that you put the names of each person in your data collection in a hat. Each question involves selecting a name or names from the hat.What is the probability that you will choose a person in the children or teen category?
What are the odds against you choosing a person in the children or teen category?
What is the probability of you choosing a person from the adult category, and then, without replacing the name, choosing someone from the children category?
What is the probability of you choosing a person from the young adults or adults category, and then, after replacing the name, choosing someone from the children category?
A driver comes to pick up members of your family for a family reunion. The van holds 7 people, not including the driver. Assuming that none of the babies will be riding in the van, how many different ways can 7 people be chosen to ride in the van?
Your family plays a money game where the first person chosen wins $1, the second person chosen wins $5, the third person chosen wins $10, and the fourth person chosen wins $50. Since you won the $50 prize during the last game, you are in charge of choosing this time (so you can’t win). How many different winning scenarios are possible in this play of the money game?