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Lesson 1 - 0

Lesson 1 - 0. Summary to Exploring Data. Chapter Objectives. Use a variety of graphical techniques to display a distribution. These should include bar graphs, pie charts, stemplots, histograms, ogives, time plots, and Boxplots

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Lesson 1 - 0

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  1. Lesson 1 - 0 Summary to Exploring Data

  2. Chapter Objectives • Use a variety of graphical techniques to display a distribution. These should include bar graphs, pie charts, stemplots, histograms, ogives, time plots, and Boxplots • Interpret graphical displays in terms of the shape, center, and spread of the distribution, as well as gaps and outliers • Use a variety of numerical techniques to describe a distribution. These should include mean, median, quartiles, five-number summary, interquartile range, standard deviation, range, and variance • Interpret numerical measures in the context of the situation in which they occur • Learn to identify outliers in a data set

  3. Section Objectives • Identify the individuals and variables in a set of data • Classify variables as categorical or quantitative • Identify units of measurement for a quantitative variable

  4. Vocabulary • Individuals – objects described by a set of data; maybe people, animals or things • Variable – any characteristic of an individual; can take on different values for different individuals • Categorical variable – places an individual into one of several groups or categories • Quantitative variable – takes numerical values; for which it makes sense to find an average! • Distribution – tells us what values the variable takes on and how often it takes these values • Inference – using a sample of data to infer (to draw conclusions) about a larger group of data

  5. Activity • Hiring Discrimination – It just won’t fly! on pg 5

  6. Activity – Computer Assisted Using Excel to help calculate the probabilities of having that number of male captains selected with the parameters given in the activity: Cumulative probabilities don’t always add to 1 from a table due to round-off error. Almost 13% chance of this or more extreme result. Later in the course we will cover this type of problem again in the non-AP portion of discrete random variables.

  7. Categorical Variables • From Mr. Starnes data collection sheet: • Gender M/F • Hair color Br/Bl/Rd/Gr • Restaurant • Birth date • Dominant hand R/L • Bathroom Y/N • Numbers (1-4) 1/2/3/4 • S or Q S/Q • Heads or Tails H/T

  8. Quantitative Variables • From Mr. Starnes data collection sheet: • Hours of sleep 0-10 • Number of siblings 0-8 • Height 4’9” – 6’5” • SAT scores 400-800 • Ounces of soda 0-64 • Pulse 40-80 • Days 0-10 • Time spent 0-4 • Instructor’s age 50-70

  9. Summary and Homework • Summary • A data set contains information on a number of individuals • Information is often values for one or more variables • Variables can be categorical or quantitative • Distribution of a variable describes what values it can take on and how often • Homework • Pg 7-8, problems 1, 3, 5, 7, 8

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