Types of Data Displays

1. Types of Data Displays Based on the 2008 AZ State Mathematics Standard

2. Pictograph(Grades 1 and 2)

3. Pictograph (Grades 1 and 2) For Grade 1: the pictures/icons in the pictograph represent a quantity of 1. For Grade 2: The pictures/icons in the pictograph represent more than 1 and a key is required to interpret the graph.

4. Pictograph Example

5. Pictographs Summary

6. Tally Chart “Favorite Pets”(Grade 1)

7. Frequency Table“Favorite Pets”(Grades 2 and 3) Note: A frequency table may or may not have a column for the tally marks.

8. Pictograph made from the previous tally chart and frequency table

9. Bar Graphs(Grades 2, 3, 4, 5)

10. Bar Graphs(Grades 2, 3, 4, 5) Grade 2: Single Bar Graph Grade 3: Single Bar Graph Grade 4: Double Bar Graph Grade 5: Multi-Bar Graph

11. Bar Graph made from previous tally chart and pictograph

12. Bar Graphs Example

13. Horizontal Bar Graph Example

14. Vertical Bar Graph Example

15. Which Direction? Vertical Bar Graph Displays data better than horizontal bar graphs, and is preferred when possible. Horizontal Bar Graph Useful when category names are too long to fit at the foot of a column.

16. Vertical vs. Horizontal

17. Double Bar Graph(Grade 4)

18. Multi-Bar Graph(Grade 5)

19. Line Graph(Grades 3, 4, 5)

20. Line Graph(Grades 3, 4, 5) • Grade 3: Single Line Graph • Grade 4: Single Line Graph • Grade 5: Double Line Graph

22. Single Line Graph(Grades 3 and 4)

23. Double Line Graph(Grade 5)

24. Pie Chart – Circle Graph(Grade 4)

26. Pie Chart – Circle Graph Example

28. Pie (circle) charts - more info • A way of summarizing a set of categorical data or displaying the different values of a given variable (e.g. percentage distribution). • A circle is divided into a series of segments. Each segment represents a particular category. • The area of each segment is the same proportion of a circle’s area as the category is of the total data set. • Quite popular. Circle provides a visual concept of the whole (100%).

29. Best used for displaying statistical information when there are no more than six components – otherwise, the resulting picture will be too complex to understand. Pie charts are not useful when the values of each component are similar because it is difficult to see the differences between slice sizes.

30. Stem and Leaf Plot(Grade 6)

31. Stem and Leaf Plot

32. Stem and Leaf Plot

33. Histograms(Grade 6)

34. Histogram

35. Histogram

36. Line Plot(Grade 4 and 5)

37. Line Plots (dot plot) Example

38. Graph paper is a good idea for it is crucial that each recorded X be uniform in size and placed exactly across from each other (one-to-one correspondence).Notice the cluster at 17 & 18 as well as the gap at 13 and 22. The mode is 18, the median is the second X from the bottom for number 18, and the mean is 17.68 or 18. Line Plot for the Number of M&M's™ in a Package

39. Line plot made from a Tally Chart

40. There are many more types of Data DisplaysHere are a few - - -

41. Stacked Vertical Bar Graph Example

42. Histogram Example(a type of bar graph)

43. Frequency Polygon Salaries of Acme

44. Box and Whisker Plot

45. Box & Whisker Graph Example

46. Scatter Plot

47. Scatter Plot

48. Scatter Plot Example

49. No CorrelationIf there is absolutely no correlation present, the value given is 0.

50. Perfect linear correlation:A perfect positive correlation is given the value of 1. A perfect negative correlation is given the value of -1.