1. Histograms, Frequency Polygons, and Ogives

2. Histogram: A graph that displays data by using contiguous vertical bars.

3. Organize Data, Prepare Table Limit BoundaryNumber 10 – 19 9.5 – 19.56 20 – 29 19.5 – 29.58 30 – 39 29.5 – 39.515 40 – 49 39.5 – 49.511 50 – 59 49.5 – 59.57 60 – 69 59.5 – 69.53 70 – 79 69.5 – 79.51

4. Plot the Mid Points 9.519.529.539.549.559.569.579.5

5. Frequency Polygon: A graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.

6. Plot the Mid Points 9.519.529.539.549.559.569.579.5

7. Connect the dots, bring down to the x axis

8. Ogive: A graph that displays the cumulative frequencies for the classes in a frequency distribution.

9. Organize Data, Prepare Table Limit BoundaryNumber Cumulative 10 – 19 9.5 – 19.56 20 – 29 19.5 – 29.5 8 14 30 – 39 29.5 – 39.515 29 40 – 49 39.5 – 49.511 40 50 – 59 49.5 – 59.57 47 60 – 69 59.5 – 69.53 50 70 – 79 69.5 – 79.51 51

10. Plot the upper boundary points 9.5 19.5 29.5 39.5 49.5 59.5 69.5 79.5

11. Connect the dots, start at zero 9.5 19.5 29.5 39.5 49.5 59.5 69.5 79.5

12. Relative Frequency Graphs Use relative frequencies when the proportion of data values that fall into a given class is more important than the actual number of data values that fall into the class. Example: Compare age distributions in New York City and Elysburg.

13. Note that percentages are used. Ages

14. Distribution Shapes

15. More Distribution Shapes