1. AP Statistics Day 2! Outcome: I will interpret shape, outliers, center and spread of data. Agenda: Warm up Syllabus/ Textbooks AP Free Response Practice Chapter 1 Review Exit Ticket

2. Warm Up: AP Multiple Choice Recommendation: two minutes per MC problem Ten minutes to complete

3. Syllabus Time! Key things: Grading Breakdown Redo & Lateness Policy REMIND! Textbooks!

4. Alright. Let’s finish up talking chapter 1. What IS statistics? Statistics is a way of reasoning, along with a collection of tools and methods, designed to help us understand the world.

5. Quantitative vs. Categorical Which variables are being measured? Classify each as categorical or quantitative. State# of Family Members AgeGenderMarital StatusTotal Income Travel Time to Work KY261FemaleMarried21,00020 FL627FemaleMarried21,30020 WI227MaleMarried30,0005 CA433FemaleMarried26,00010 MI349FemaleMarried15,10025 VA326FemaleMarried25,00015 PA444MaleMarried43,00010 VA422MaleSingle3,0000 CA130MaleSingle40,00015 NY434FemaleSeparated30,00040

6. Type of Graphs! http://25.media.tumblr.com/tumblr_m5fvbaESL71r5mnv xo1_250.gif https://s-media-cache- ak0.pinimg.com/236x/f3/47/8b/f3478b3eeb8048d6d538 07ce229eeadb.jpg

7. Bar Graphs Bars are all same width SPACES IN BETWEEN BARS

8. Dot Plots Each dot represents one value

9. Stem Plots Stem is the number in the tens place Leaf is the number in the ones place ALWAYS MAKE SURE YOU HAVE A KEY

10. Back-to-Back Stem Plots Two graphs in one What is the benefit of using back-to- back stem plots?

11. Histograms NO SPACES IN BETWEEN BARS THIS IS THE BIGGEST DISTINCTION BETWEEN HISTOGRAMS AND BAR GRAPHS The width of each bar represents a group of numbers

12. Box Plots 5 number summary: minimum, Q1, Median, Q2, Maximum Interquartile Range (IQR) = the middle 50% of the data. Q3 – Q1

13. Marginal vs. Conditional

14. Marginal Distribution Think MARGINS Row or Column Total Table Total Calculate the marginal distributions of type of cell phone Types of Cell Phones owned by 2024 cell-phone using adults 18-3435-5455+Total iPhone169171127467 Android214189100503 Other1342776431054 Total5176378702024

15. Conditional Distribution Think about the idea that there are conditions for what we are looking to find. Use the cell phone data to calculate to calculate the conditional distribution of cell phone type for the 18-34 year-olds. Types of Cell Phones owned by 2024 cell-phone using adults 18-3435-5455+Total iPhone169171127467 Android214189100503 Other1342776431054 Total5176378702024

16. Association

17. Describing Distributions **Very Important** The AP test will most likely have some question that asks you to describe a distribution in some way, shape, or form. To describe a distribution, always remember your SOCS Shape Outliers Center Spread

18. Shape Skewness: Right-skewed, roughly symmetric, or left-skewed Opposite of what you might think! Think about your feet: your right foot is skewed right!

19. Modes

20. Outliers How can we tell if a given data point is an outlier? 1.5 * IQR rule The time, in minutes, it takes for a sample of 15 workers in North Carolina is shown below: 5 10 10 10 10 12 15 20 20 25 30 30 40 40 60 Is 60 minutes an outlier?

21. Center Mean: x Median WHICH DO WE USE WHEN? What can affect the mean? Does this affect the median When is it better to use one over the other?

22. Spread Range IQR Standard Deviation: s X The typical, or standard, distance of the values in a distribution from the mean It is calculated by finding the average of the squared deviations (to keep it positive) and then taking the square root. Variance: the square of the standard deviation

23. Let’s do it all in the calculator!

24. Organizing a Statistics Problem STATE What is the question you’re trying to answer? PLAN How are you going to go about answering that question? What statistical techniques will you use? DO Make graphs and carry out needed calculations CONCLUDE State your conclusions IN CONTEXT OF THE PROBLEM

25. AP Free Response Practice You have ten minutes to complete this. Independent! We will go over the grading for this afterwards.

26. Chapter One Review Game: Groups of 3-4 Each group has one communicator Everyone should write their work down in their notebook Need team names Certain points per correct answer will be given Ready set GO

27. QUESTION 1 We collect these data from 50 male students. Which variable is categorical? a.eye color b.head circumference c.hours of homework last week d.number of cigarettes smoked daily e.number of TV sets at home

28. QUESTION 2 Which is true of the data shown in the histogram: I. The distribution is skewed right. II. The mean is probably smaller than the median. III. We should use median and IQR to summarize these data. A) I only B) II only C) III only D) II and III only E) I, II and III

29. QUESTION 3 The five-number summary of credit hours for 24 students in a statistics class is: Which statement is true? A) There are no outliers in the data. B) There is at least on low outlier in the data. C) There is at least one high outlier in the data. D) There are both low and high outliers in the data. E) None of the above. MinQ1MedianQ3Max 13.015.016.518.022.0

30. QUESTION 4 Which circumstance leads us to believing there is an association between two variables: Gender and Future Voting Pattern? I. Knowing a young adult is male helps us predict his upcoming voting pattern. II. Females and Males are generally both likely to vote the same way. III. Knowing a young adult is male does nothing to help us predict his upcoming voting pattern. A.I only B.II only C.III only D.II and III E.None of the above

31. QUESTION 5

32. QUESTION 6 Which of the following is a true statement? A.Stemplots are useful both for quantitative and categorical data sets. B.Stemplots are equally usefull for small and very large data sets. C.Stemplots can show symmetry, gaps, clusters, and outliers. D.Stems should be skipped only if there is no data value for a particular stem. E.Whether or not to provide a key depends upon the relative importance of the data being displayed.

33. QUESTION 7 Here are the number of calories per serving for 16 brands of frozen cheese pizza: 340340310320310360350330 260380340320310360350330 Create a dotplot of these data. You will use the dotplot on the next problem, don’t erase it!

34. QUESTION 8 Use the dotplot from the last problem… Describe the shape, center, and spread of the distribution.

35. QUESTION 9 Use the same data… 340340310320310360350330 260380340320310360350330 Create a boxplot of these data and give the five-number summary Don’t erase the boxplot after!

36. QUESTION 10 Use the same data… 340340310320310360350330 260380340320310360350330 Are there any outliers? If so, what are they? Use the 1.5 x IQR rule.

37. Exit Ticket AP FRQ to be turned into the folders on the back Bulletin Board. Ten Minutes This will be for a classwork grade!