1. 2.2C-Qualitative Displays PIE CHARTS – Circular display of frequency of categories of data – Determine relative frequency of each category (f/n) – Multiply relative frequency by 360 to find degrees of central angle of sector – Move decimal of relative frequency 2 places to right determine the % – Label EACH sector with category & %

2. Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus359 Air499.1 Subway351.6 Amtrak19.7

3. Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus359359/1229.4=.292 29.2%.292x360=105⁰ Air499.1.40640.6%146⁰ Subway351.6.28628.6%103⁰ Amtrak19.7.0161.6%6⁰

4. Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus348 Air363.1 Subway274.6 Amtrak20.1

5. Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus348348/1005.8=.346 Air363.1.361 Subway274.6.273 Amtrak20.1.020

6. Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus348348/1005.8=.346 34.6 Air363.1.36136.1 Subway274.6.27327.3 Amtrak20.1.0202

7. Example TransportationPassengers (in millions),f Relative Frequency (1) % (100%)Central Angle (360⁰) Bus348348/1005.8=.346 34.6.346x360=125⁰ Air363.1.36136.1130⁰ Subway274.6.27327.398⁰ Amtrak20.1.02027⁰

8. Example TransportationPassengers (in millions),f Relative Frequency (1) % (100%)Central Angle (360⁰) Bus348348/1005.8=.346 34.6.346x360=125⁰ Air363.1.36136.1130⁰ Subway274.6.27327.398⁰ Amtrak20.1.02027⁰

9. Pareto Chart Vertical Bar Graph Qualitative categories on x-axis Measured values or frequencies on y-axis Bars in DECREASING order – TALLEST bar FIRST, down to shortest Frequently used in business

10. Example Causes of Inventory shrinkageYearly amount in Millions of dollars Shoplifting14 Vendor Fraud3 Administrative error8 Employee theft15.5

11. Example Companies BBB received complaint fromNumber of complaints Auto dealers14,668 Home furnishing stores7,792 Computer sales & service5,733 Auto repair shops9,728 Dry cleaners4,649

12. Companies BBB received complaint fromNumber of complaints Auto dealers14,668 Home furnishing stores7,792 Computer sales & service5,733 Auto repair shops9,728 Dry cleaners4,649

13. Assignment 2.2C p. 53 # 22-25, 31,32