Lesson 2: Data Distributions with Stemplots and Histograms

August 28, 2019

Review:

• Attendance
• Intro to Statistics
• Syllabus
• Textbook
• Assessment Answers
  • a, d, e, d, b, e, d, e, b, e

Presentation:

• Data Distributions
  • The “shape” of the data
  • Distribution of Exam Scores
  • Types of distributions
    • Skewed, bi-modal, u-shaped, uniform, etc
  • Theoretical Probability Distributions
  • Visualize the distribution
    • Picture is worth a thousand words
    • Not much training necessary to look at a data graphic
    • Improved approach for “patterns” and “participation“
    • Use stemplots for small datasets
    • Use histograms for large datasets
• Unit 2: Stemplots
  • Video (0:45-2:00; 6:00-11:00)
  • Demonstrate stemplot construction
    • Female heights (cm)
    • 152, 157, 160, 165, 165, 168, 170, 170, 170, 173, 173, 180
    • Rules
      • Keep rows and columns neatly aligned
      • Don’t use commas
      • Display gaps in data with empty space
• Unit 3: Histograms
  • Video (0:50-4:00)
  • Demonstrate histogram construction
    • Student Height Data (Sheets)

Activity:

• Using the vehicle mpg data (below), create three stemplots
  1. Top Selling Midsize Cars in the US
  2. Top Selling Midsize Cars in Europe
  3. Back to back comparison – US vs Europe

• Using the same vehicle mpg data (below), create two histograms
  1. Top Selling Midsize Cars in the US
  2. Top Selling Midsize Cars in Europe

Study:

• Text: Ch. 1, p. 9-15

Activity Data:

Top Selling Midsize Cars in the US – MPG

• Toyota Camry – 32
• Honda Accord – 33
• Nissan Altima – 30
• Subaru Outback – 29
• Ford Fusion – 27
• Chevy Malibu – 26
• Kia Optima – 27
• Volkswagen Passat – 29
• Subaru Legacy – 29

Top Selling Midsize Cars in the Europe – MPG

• Volkswagen Passat – 35
• Skoda Superb – 66
• Opex Insignia – 53
• Ford Mondeo – 48
• Renault Talisman – 35
• Toyota Avensis – 63
• Mazda 6 – 30
• Peugeot 508 – 62
• Kia Optima – 58
• Hyundai i40 – 67