1. 04/19/08R. Valcin & J. Burns1 What Is The Story Your Graph Is Telling? By Rachel Valcin & Jon Burns

2. 04/19/08R. Valcin & J. Burns2 Learning Objectives To create a line plot, box-and-whisker plot, and histogram for the same set of data using Excel and Geogebra To discuss the advantages and disadvantages of each of these graphs To interpret the results of the graphs including the measures of central tendency and variation

3. 04/19/08R. Valcin & J. Burns3 Two Things to Keep in Mind messageThe message of your graph, meaning what are you trying to say with your graph audienceThe audience you are targeting, meaning who will get the message

4. 04/19/08R. Valcin & J. Burns4 Let’s Look at Three Graphs Line Plot Box-and-whisker Plot also called box plot Histogram

5. 04/19/08R. Valcin & J. Burns5 Line Plot Shows frequency of data on a number line

6. 04/19/08R. Valcin & J. Burns6 Advantages of Line Plot Provides quick analysis of data Shows range, minimum and maximum, gaps and clusters, and outliers easily The exact values are retained

7. 04/19/08R. Valcin & J. Burns7 Disadvantages of Line Plot It is not visually appealing It is best for set of less than 50 data It needs small range

8. 04/19/08R. Valcin & J. Burns8 Box-and-Whisker Plot Shows the spread of data

9. 04/19/08R. Valcin & J. Burns9 Advantages of Box Plot It shows 5-point summary and outliers It easily compares two or more data sets It handles extremely large data sets easily

10. 04/19/08R. Valcin & J. Burns10 Disadvantages of Box Plot It’s not as visually appealing as other graphs The exact values of data are not retained

11. 04/19/08R. Valcin & J. Burns11 Histogram How many stories can you tell with histograms? Better yet, how many twists can you add to a story using histograms? Let’s count the ways …

12. 04/19/08R. Valcin & J. Burns12 Commonly Shown Bar Graph

13. 04/19/08R. Valcin & J. Burns13 Histogram With Interval 1

14. 04/19/08R. Valcin & J. Burns14 Histogram With Interval 2

15. 04/19/08R. Valcin & J. Burns15 Histogram With Interval 3 Shows continuous data in ordered columns

16. 04/19/08R. Valcin & J. Burns16 Advantages of Histogram It is visually strong It can compare to normal curve Its vertical axis usually is a frequency count of items falling into each category

17. 04/19/08R. Valcin & J. Burns17 Disadvantages of Histogram One cannot read exact values because the data are grouped into categories It’s more difficult to compare two data sets It can only be used with continuous data

18. 04/19/08R. Valcin & J. Burns18 Sunshine State Standards MA.E.1.3.1 MA.E.1.3.2 MA.E.1.3.3

19. 04/19/08R. Valcin & J. Burns19 Vocabulary Review Mean (arithmetic), median, mode Lower extreme, upper extreme Lower quartile, upper quartile Range, interquartile range, interval Percentile, variation, outlier, scale * Creating and Interpreting Graphs *