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Notes 2.2 (Part 1). Descriptive statistics: More graphs and displays. 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.
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Notes 2.2 (Part 1) Descriptive statistics: More graphs and displays
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.
Pie Chart • Convenient way to present qualitative data • To create this graph you must have a class, frequency, relative frequency and angle columns.
Class ∫ Relative Angle ∫ Honda 60 BMW 130 Lexus 170 ∑∫ =
Class ∫ Relative Angle ∫ Honda 60 .17 BMW 130 .36 Lexus 170 .47 ∑∫ = 360
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) =
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) =
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
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
Try it yourself 1 • Construct a table a pie chart Vehicle type killed Relative Angle (∫)∫ Cars 25 Trucks 9 Motorcycles 3 Others 1
Assignment #18 • Pg 54 13, 20, 21
Notes 2.2 (Part 2) Stem and Leaf and Dot Plots
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
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
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