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Notes 2.2 (Part 1)

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  1. Notes 2.2 (Part 1) Descriptive statistics: More graphs and displays

  2. What you should learn • 1. How to graph and interpret quantitative data sets using stem and leaf plots and dot plots. • 2. How to graph and interpret qualitative data sets using pie and Pareto charts. • 3. How to graph and interpret paired data sets using scatter plots and time series charts.

  3. Pie Chart • Convenient way to present qualitative data • To create this graph you must have a class, frequency, relative frequency and angle columns.

  4. Class ∫ Relative Angle ∫ Honda 60 BMW 130 Lexus 170 ∑∫ =

  5. Class ∫ Relative Angle ∫ Honda 60 .17 BMW 130 .36 Lexus 170 .47 ∑∫ = 360

  6. To obtain angle • To obtain angle you must multiply the relative frequency by 360. (Round the answer appropriately to the nearest whole number) • Honda .17 (360) = 61.73 = 62 • BMW .36 (360) = • Lexus .47 (360) =

  7. To obtain angle • To obtain angle you must multiply the relative frequency by 360. (Round the answer appropriately to the nearest whole number) • Honda .17 (360) = 61.73 = 62 • BMW .36 (360) = 129. 6 = 130 • Lexus .47 (360) =

  8. To obtain angle • To obtain angle you must multiply the relative frequency by 360. (Round the answer appropriately to the nearest whole number) • Honda .17 (360) = 61.73 = 62 • BMW .36 (360) = 129.6 = 130 • Lexus .47 (360) = 169.2 = 169

  9. Class ∫ Relative Angle ∫ Honda 60 .17 62 BMW 130 .36 130 Lexus 170 .47 169 ∑∫ = 360 Angle column should add up to around 360. It might be off by a few degrees as a result of rounding

  10. Try it yourself 1 • Construct a table a pie chart Vehicle type killed Relative Angle (∫)∫ Cars 25 Trucks 9 Motorcycles 3 Others 1

  11. Assignment #18 • Pg 54 13, 20, 21

  12. Notes 2.2 (Part 2) Stem and Leaf and Dot Plots

  13. Stem and Leaf plot • A newer and easier way of displaying data • Each number is separated into two parts, the stem (which are the left most digits of a number) and the leaf (which is the last digit in the number) • Stem side must be in order from least to greatest and you cannot skip a number even if no numbers have that stem

  14. Stem and leaf example • 10, 41, 22, 11, 10, 14, 18, 20, 47,28, 24, 14 1 | 0, 1, 0, 4, 8, 4 2 | 2, 0, 8, 4, 3 | 4 | 1, 7 Unordered Stem and leaf plot

  15. Stem and leaf example • 10, 41, 22, 11, 10, 14, 18, 20, 47,28, 24, 14 1 | 0, 0, 1, 4, 4, 8 2 | 0, 2, 4, 8 3 | 4 | 1, 7 Ordered Stem and leaf plot