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# 2 3 depicting frequency tables

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### 2 3 depicting frequency tables

1. 1. Depicting Frequency Tables <ul><li>Qualitative (nominal or maybe ordinal) data </li></ul><ul><ul><li>Histogram, bar charts and pareto charts </li></ul></ul><ul><ul><li>Pie chart </li></ul></ul><ul><li>Quantitative (interval or ratio, maybe ordinal) Data </li></ul><ul><ul><li>Histograms and Bar Charts </li></ul></ul><ul><ul><ul><li>Absolute and relative frequency </li></ul></ul></ul><ul><ul><ul><li>Quickly spot distribution, trends and “hot-spots” </li></ul></ul></ul><ul><ul><li>Frequency Polygon </li></ul></ul><ul><ul><li>Ogive </li></ul></ul><ul><ul><ul><li>Cumulative frequency </li></ul></ul></ul><ul><ul><li>Dotplots </li></ul></ul><ul><ul><ul><li>Frequency encoded in the vertical bar </li></ul></ul></ul><ul><ul><li>Stem and Leaf Plots </li></ul></ul>
2. 2. Histogram Chart <ul><li>Bar lengths match frequency </li></ul><ul><li>Y axis can be frequency or relative frequency </li></ul>
3. 3. Pareto Chart <ul><li>Bar lengths match frequency </li></ul><ul><li>Y axis can be frequency or relative frequency </li></ul><ul><li>Bars ordered most to least, left to right </li></ul>
4. 4. Live example <ul><li>Create a histogram of the favorite month </li></ul>
5. 5. Your Turn <ul><li>Create a histogram of the favorite color </li></ul>
6. 6. Pie Chart <ul><li>Wedges are proportional to the relative frequency </li></ul>
7. 7. Creating a Pie Chart <ul><li>Create the relative frequency table </li></ul><ul><li>Calculate each wedge size: </li></ul><ul><ul><li>Multiply the relative frequency by 360 </li></ul></ul><ul><li>Use a compass and protractor to create the wedges </li></ul><ul><li>Use color and texture to differentiate wedges. </li></ul>
8. 8. For example: PoE Class Demographics Frosh 7 Soph 5 Junior 3 Senior 10
9. 9. Your Turn: CS Class Demographics Frosh 2 Soph 7 Junior 3 Senior 8
10. 10. Pi Chart Example
11. 11. Histogram <ul><li>Classes are represented as vertical bars on a graph </li></ul><ul><ul><li>X axis are the class values </li></ul></ul><ul><ul><li>Ordered lowest to highest, left to right </li></ul></ul><ul><ul><li>Y axis is the frequency or relative frequency </li></ul></ul><ul><li>Length of bar is proportional to the number of counts in each class </li></ul><ul><li>Color and texture differentiate bars from different data sets </li></ul><ul><li>(On a bar chart, the bars are horizontal) </li></ul>
12. 12. Histogram: August Temperatures
13. 13. Your Turn <ul><li>Create a histogram of Old Faithful Interval Data </li></ul>
14. 14. Is this an accurate picture?
15. 15. Is this better?
16. 16. Other Charts <ul><li>Frequency polygon </li></ul><ul><ul><li>Class midpoint and frequency count are plotted on the graph. </li></ul></ul><ul><ul><li>Dots are connected </li></ul></ul><ul><li>Ogive </li></ul><ul><ul><li>Class midpoint and cumulative frequency are plotted on the graph. </li></ul></ul><ul><ul><li>Dots are connected </li></ul></ul>
17. 17. Frequency Polygon
18. 18. Ogive: August Temperatures
19. 19. Stem and Leaf Plot <ul><li>Right column contains the set’s least significant digit </li></ul><ul><li>Left column contains the other digits </li></ul>5 6 013788 7 123344446666779 8 0001112338
20. 20. Homework <ul><li>Draw a pareto chart of favorite color </li></ul><ul><li>Draw a pie chart of gender </li></ul><ul><li>Draw a pie chart of grade </li></ul><ul><li>Draw a histogram of Math and CR SAT scores </li></ul><ul><li>Draw a histogram of height </li></ul><ul><li>Draw an Ogive chart of lucky number </li></ul><ul><li>Draw a stem and leaf plot of height </li></ul>
21. 21. Comparing Graphs <ul><li>Comparing the shape of two graphs </li></ul>
22. 22. Histogram: August Temperatures
23. 23. Frequency Polygon
24. 24. Ogive: Old Faithful Intervals between Eruptions
25. 25. Two Column Stem and Leaf Plot <ul><li>Left column contains the first set’s least significant digit </li></ul><ul><li>Right column contains the second set’s least significant digit </li></ul><ul><li>Center column contains the other digits </li></ul>5 578999 6 013788 01111222233445555556677 7 123344446666779 00 8 0001112338
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