Box Plots and Histograms

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Box Plots and Histograms

  1. 1. Choose Your Goal Represent data using a box and whisker plot Represent data using a histogram Interpret data using a box and whisker plot Interpret data using a histogram Analyze data using a box and whisker plot Analyze data using a histogram What is a histogram? What is a box and whisker plot? Click here to get started!
  2. 2. What is a histogram? I don’t know A graph that is similar to a line plot A bar graph that represents a frequency distribution  A graph that shows data over history A bar graph that represents a table of averages
  3. 3. Bee-utiful!!!!! Click here for the next question!
  4. 4. Look at the histogram on page 9. How much more frequently was the regular peanut butter rated in the 30-50 range than in the 10-20 range? I don’t know 10 times more frequently 3 times more frequently 12 times more frequently 5 times more frequently
  5. 5. You got it, honey!!!!! Click here for the next question!
  6. 6. How does changing the interval width affect the appearance of your histogram? I don’t know The larger the interval range, the more difficult it is to determine variability The smaller the interval range, the easier it is to see clusters of data The larger the interval range, the easier it is to determine variability The smaller the interval range, the easier it is to see large quantities of data
  7. 7. You are buzzing right along!!!!! Click here for the next question! Check in with Mrs. R.
  8. 8. What is a box and whisker plot? I don’t know A graph that is similar to a square pie chart A plot that indicates where half of the data are clustered A graph that shows how data changes over time A plot that represents a table of averages
  9. 9. Flying through!!!!! Click here for the next question!
  10. 10. Look at the box plot on page 13. What conclusion could you draw from the graph? I don’t know Natural peanut butter is better for you Most Regular peanut butter received a rating of 30-40 Most Natural peanut butter received a rating of 40-50 Natural peanut butter is ranked better than Regular
  11. 11. You really stung that one!!!!! Click here for the next question!
  12. 12. When comparing two or more box plots, why is it important to make sure that they all use the same interval range? I don’t know The larger the interval range, the more difficult it is to determine variability The smaller the interval range, the easier it is to see clusters of data The larger the interval range, the easier it is to determine variability The smaller the interval range, the easier it is to see large quantities of data
  13. 13. When comparing two or more box plots, why is it important to make sure that they all use the same interval range? I don’t know The larger the interval range, the more difficult it is to determine variability The smaller the interval range, the easier it is to see clusters of data The larger the interval range, the easier it is to determine variability The smaller the interval range, the easier it is to see large quantities of data
  14. 14. Way to bee!!!!! Click here to return to the main page Click here to choose an activity Check in with Mrs. R.
  15. 15. Choose Your Goal Represent data using a box and whisker plot Represent data using a histogram Interpret data using a box and whisker plot Interpret data using a histogram Analyze data using a box and whisker plot Analyze data using a histogram What is a histogram? What is a box and whisker plot? Choose activities Choose a goal or activity!
  16. 16. Histograms <ul><li>Look up the definition of a histogram </li></ul><ul><li>Read about histograms on p.87, find examples on p.9-11 </li></ul><ul><li>Find out when to use a histogram (skim and scan) </li></ul><ul><li>Find out more about histograms and histographs </li></ul><ul><li>On your notes page, answer the following: </li></ul><ul><li>Define histogram </li></ul><ul><li>Explain the difference between a histogram and a histograph </li></ul>Click here to make a histogram
  17. 17. Making a Histogram Right Click and select “End Show”. Double click for the file to open as an Excel document. When you finish, print this slide and resume the slide show from this slide.
  18. 18. Bee-Utiful! Great Work! Remember, a histogram shows frequency! Click here to go to the next question!
  19. 19. Interpreting Histograms <ul><li>Think about the following statistical measures: </li></ul><ul><ul><li>Mode (occurs most often) </li></ul></ul><ul><ul><li>Median (number in the middle) </li></ul></ul><ul><ul><li>Range (max – min) </li></ul></ul><ul><ul><li>Mean (total sum / total number) </li></ul></ul><ul><ul><li>What would you have to do to find each measure on a histogram? Find each of these measures for the histogram on p.9 (answer on notes page). </li></ul></ul>Click here to move on!
  20. 20. Interpreting Histograms <ul><li>Read “Getting Ready for Problem 1.2 on p.10 </li></ul><ul><li>Answer questions 19-21 on p.20 (on your notes page) </li></ul>Great! Click here for the next question!
  21. 21. Analyzing Histograms <ul><li>Find out what happens when you change the interval range </li></ul><ul><li>See how the histogram and its associated statistical measures (mean, mode, etc.) change as the data changes </li></ul><ul><li>Answer question 33 on p.24 (on your notes page) </li></ul>Wonderful! Click here for the next question! Check in with Mrs. R.
  22. 22. What is a Box and Whisker Plot? <ul><li>Read the definition on p.86 </li></ul><ul><li>Read pages 12 and 13 </li></ul><ul><li>Visit this site to learn more about Box and Whisker Plots </li></ul><ul><li>On your notes page: </li></ul><ul><li>Describe a box and whisker plot </li></ul><ul><li>List the statistics involved in creating a five number summary </li></ul>Click here to create a box plot!
  23. 23. Make a Box and Whisker Plot The following slides provide you with a tool to make a box and whisker plot. What is a Box and Whisker Plot? When is a Box and Whisker Plot Useful? Make a Box and Whisker Plot
  24. 24. When is a Box and Whisker Plot useful? <ul><li>Box plots are useful for identifying outliers and for comparing distributions. </li></ul><ul><ul><li>What is an outlier? </li></ul></ul>Click to go back!
  25. 25. Instructions Click here to create a box plot!
  26. 26. Right Click and select “End Show”. Double click for the file to open as an Excel document. Input your data in the yellow column. Print this slide when you are finished. (File, Print, Current Slide) Resume the slide show from this slide. Play shooting sheep on portaportal.com . Record your times up to 13 times on your notes page. Use this data to create your own Box and Whisker Plot.
  27. 27. Bee-Utiful work! Click here for the next question!
  28. 28. Interpreting Box and Whisker Plots <ul><li>Read some tips for interpreting box and whisker plots </li></ul><ul><li>Read pgs. 12-13 </li></ul><ul><li>Answer questions 7-12 on p.19 (on your notes page) </li></ul>Click here to move on!
  29. 29. Analyzing Box and Whisker Plots <ul><li>See what happens to the plot and its associated statistical measures as the data changes </li></ul><ul><li>Answer question 26 on p.22 (on your notes page) </li></ul>Click here to move on!
  30. 30. Activities: Choose One or More (Finish for homework) Collect data and represent it with a histogram and a box plot Justify why box and whisker plots and histograms are useful for analyzing data Explore the links on box plots and histograms on portaportal.com and write a statement for each link explaining what you will learn from it Design a flowchart showing the steps to creating a histogram / box plot Create a poster explaining and comparing histograms and box plots Answer 3 questions from the connections section (p.22-24)

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