1. BELL WORK Please complete your bell work worksheet silently and independently. Benzel will be checking your homework.

2. AGENDA Bell Work Announcements Review Terms Histograms Cumulative Frequency Talk About Study Guide and Review Exit Quiz

3. Coming Up Next… Monday: Feast of Graphs Poster Project (Individual) Examples of some of the options: “Consumer Reports”: Create a comparison of the various types of graphs that we have studied. Think about what the pros and cons are of each type of graph. (i.e. in what situations would you use a dot plot?) Illustrating Who, What, Why: Create a cartoon or sketch that illustrates the process of using Who, What, Why and the specific questions being asked Teach Me How to Graph It!: Focus on 2 types of graphs we have talked about thus far. Explain with illustrations, real life examples and/or make up some hypothetical data illustrating the process (NOTE: I italicize process because this is what I want you to emphasize over the product).

4. CHECK FOR UNDERSTANDING STOP AND JOT Population Sample Individual Variable – Quantitative Variable – Categorical Variable

5. CHECK FOR UNDERSTANDING WHAT TYPE OF GRAPH WOULD YOU USE? – 1.) To display the number of Herron students who prefer Math, Science, and English. – 2.) To display the percentage of teachers who drive cars, vans, and trucks. – 3.) To display the weight (in pounds) of the dogs at the Indianapolis Humane Society. – 4.) To display the daily temperature from January to August in Indianapolis.

6. DISPLAYING QUANTITATIVE DATA Histograms Histograms display data by grouping values together. WHAT ARE THE GROUPINGS? WHAT IS THE SHAPE? WHAT IS THE SPREAD?

7. SYMMETRY IN HISTOGRAMS SYMMETRIC: If right and left sides are approximately mirror images of each other. SKEWED TO THE RIGHT: If the right side of the histogram extends must further than the left. SKEWED TO THE LEFT: If the left side of the histograms extends much further than the right.

8. SYMMETRY IN HISTOGRAMS

9. HOW TO CREATE A HISTOGRAM ON YOUR GUIDED NOTES 1). Identify the spread of the data & decide on class intervals 2). Create a frequency table 3). Label and scale your axes and title your graph. 4). Draw in bars to represent the count for each group or category.

10. YOU TRY… CREATING A HISTOGRAM ON YOUR GUIDED NOTES

11. ANALYZE IT! USING THE HISTOGRAM YOU JUST CREATED: – SHAPE: The histogram does not have a particular shape. – CENTER: 302 – SPREAD: 280-322 – OUTLIERS: none – INDIVIDUAL: Specific Car – VARIABLES: Mileage per tank of gas (in miles) Extension: COULD WE HAVE USED ANOTHER TYPE OF GRAPH TO DISPLAY THIS DATA SET?

12. LIMITATIONS OF HISTOGRAMS Histograms do not show us the relative position of an individual within a distribution. THINK ABOUT STANDARDIZED TEST SCORES… – If you are in the 80 th percentile, WHAT DOES THIS MEAN?

13. Why Percentiles Matter

14. A Statisticians Dilemma Problem: How can we get the benefits of a histogram while capturing the power of percentiles?

15. CUMULATIVE FREQUENCY GRAPHS A histogram shows us the distribution of variables. A relative frequency graph shows us relative frequencies, or percentages. BRAINSTORM: (STOP & JOT!) – Complete the analogy: BAR GRAPHS are to PIE CHARTS as… _________________ are to ________________.

16. HISTOGRAM (FREQUENCY) INTERVALFREQUENCY 0-20%4 21-40%1 41-60%2 61-80%8 81-100%11

17. CUMULATIVE FREQUENCY GRAPH INTERVAL FREQUENCY CUMULATIVE FREQUENCY 0-20%44 21-40%15 41-60%27 61-80%815 81-100%1126

18. RELATIVE FREQUENCY GRAPH INTERVALFREQUENCYRELATIVE FREQUENCY 0-20%4 15% 21-40%14% 41-60%28% 61-80%831% 81-100%1142%

19. RELATIVE CUMULATIVE FREQUENCY GRAPHS STEPS: – 1.) Identify the spread of the data & decide on class intervals. – 2.) Make a frequency table with columns for: frequency, relative frequency, cumulative frequency, and relative cumulative frequency. – 3.) Label & scale axis and title graph. – 4.) Plot a point corresponding to the relative cumulative frequency in each class interval at the left endpoint of the next class interval.

20. YOU TRY…ON YOUR GUIDED NOTES

21. Study Guide Homework this weekend is study guide for Mastery Assessment 1 on Wednesday. Mastery Assessment 1 will include: -Quantitative vs Catagorical -Population vs. Sample -What is statistics? -Pie Chart -Dot Plot -Who, What Why? -Vocabulary

22. Exit Quiz Please complete Exit Quiz silently and independently.