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