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Statistics

Statistics. Statistics. Our objective today: Learn about statistics and why they are important Explore how we can gain information about a population by examining a sample population. Statistics. Statistics is the study of the collection, organization, analysis of data. Statistics.

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Statistics

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  1. Statistics

  2. Statistics Our objective today: • Learn about statistics and why they are important • Explore how we can gain information about a population by examining a sample population

  3. Statistics Statistics is the study of the collection, organization, analysis of data.

  4. Statistics A statistical population is a set of entities concerning which statistical inferences are to be drawn. Examples: • Population of a school • A sports team

  5. Statistics • A statistical sample is a subset of the statistical population that should represent the statistical population. • A sample is valid only if the sample is representative of the population

  6. Statistics • Random sampling tends to produce representative samples and support valid inferences.

  7. Statistics • Variability – a measure of how far a set of numbers is spread out. • Measures of Central Tendency – relates to the way in which data tends to cluster around some value • Mean • Median • Mode • Range

  8. http://www.youtube.com/watch?v=qpxtBghmvvs

  9. Data Set: 11, 26, 22, 15, 18, 26, 16 Mean Median Mode Range

  10. Data Set: 5, 12, 6, 15, 7, 10, 4, 8 Mean Median Mode Range

  11. http://www.youtube.com/watch?v=1jVZi0cNHls

  12. Statistics Can you think of any ways that Statistics are used in life?

  13. Statistics Can you think of data distributions and statistics kept in sports? Who cares about these? Would variability matter in Tim Duncan’s earnings? CAN YOU THINK OF OTHER SPORTS STATISTICS ?

  14. Statistics RBI ERA

  15. Statistics Free-ThrowPercentage

  16. Statistics & Probability Yards Per Game

  17. Statistics Can you think of data distributions and statistics kept for music? Who cares about these? Would variability matter in Rihanna’s statistics?

  18. Statistics Can you think of data distributions and statistics kept that will effect your application to college? Who cares about these? Would variability matter ?

  19. Statistics Statistical Data can be 1. Categorical 2. Numerical

  20. Statistics Categorical Data – data that fall into specific labels or categories. Categorical data is data that is defined by words or as a limited number of answer options.

  21. Statistics Categorical data is reported in the FREQUENCY. It is recorded by how many or what percentage fall into each category. For example, if you counted the number of each color of M&Ms found a bag, you may find.

  22. Statistics If you counted several bags, you might find.

  23. Statistics This data can also be reported in other forms, such as bar graphs that show the frequency. What patterns do you see?

  24. Statistics • The following is actual data of colors found in a sampling of 30 bags of M&Ms. • Find the percentage of each color. • Sketch a bar graph showing the percentages.

  25. Statistics 30 Bags – Percent of Each Color 40% 35% 30% 25% 20% 15% 10% 5% 0% Green Yellow Orange Blue Brown Red Do you think the sample of 30 bags have any more statistical reliability than the earlier sample of 3 bags?

  26. Statistics Numerical Data – data that are counts or measures. For example, we count people to find the population of each state in the United States in order to answer the question, “How much do state populations vary in size?”

  27. Statistics What are other examples of numerical data?

  28. Statistics In decade from 1901 to 1910, how many immigrants came from Europe? What else can you say about this decade?

  29. Statistics • Categorical vs. Numerical ? • Age • Month you were born. • Weight • Favorite Singer • Eye Color • Height • Favorite Ice Cream

  30. Statistics & Probability The school food service wants to increase the number of students who eat lunch in the cafeteria. The student council has been asked to conduct a survey of the student body to determine the students’ preferences for hot lunch. They are considering several methods to do the survey.

  31. Statistics Let’s look at the methods and determine if they would provide a random sample. Which method should the council use? • Write all the student’s names on cards and pull them out in a draw to determine who will complete the survey. • Survey the first 20 students that enter the lunchroom. • Survey every 3rd student who gets off a bus.

  32. Statistics Now, let’s devise a sampling method in our class for conducting the following surveys. Do 7th Grade Students prefer Coke or Pepsi products ? What is the average shoe size for students at Quail Hollow?

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