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 & %
Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus359 Air499.1 Subway351.6 Amtrak19.7
Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus359359/1229.4= %.292x360=105⁰ Air %146⁰ Subway %103⁰ Amtrak %6⁰
Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus348 Air363.1 Subway274.6 Amtrak20.1
Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus348348/1005.8=.346 Air Subway Amtrak
Example TransportationPassengers (in millions),f Relative Frequency %Central Angle Bus348348/1005.8= Air Subway Amtrak
Example TransportationPassengers (in millions),f Relative Frequency (1) % (100%)Central Angle (360⁰) Bus348348/1005.8= x360=125⁰ Air ⁰ Subway ⁰ Amtrak ⁰
Example TransportationPassengers (in millions),f Relative Frequency (1) % (100%)Central Angle (360⁰) Bus348348/1005.8= x360=125⁰ Air ⁰ Subway ⁰ Amtrak ⁰
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
Example Causes of Inventory shrinkageYearly amount in Millions of dollars Shoplifting14 Vendor Fraud3 Administrative error8 Employee theft15.5
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
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
Assignment 2.2C p. 53 # 22-25, 31,32