Statistics Unit 1

Big Idea:

Constructing graphs and using graphs to describe data

Student Expectations:

Focus Standards

I. Exploring Data: Describing patterns and departures from patterns

• A. Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot)
  • 1. Center and spread
  • 2. Clusters and gaps
  • 3. Outliers and other unusual features
  • 4. Shape
• B. Summarizing distributions of univariate data
  • 1. Measuring center: median, mean
  • 2. Measuring spread: range, interquartile range, standard deviation
  • 3. Measuring position: quartiles, percentiles, standardized scores (z-scores)
  • 4. Using boxplots
  • 5. The effect of changing units on summary measures
• C. Comparing distributions of univariate data (dotplots, back-to-back stemplots,parallel boxplots)
  • 1. Comparing center and spread: within group, between group variation
  • 2. Comparing clusters and gaps
  • 3. Comparing outliers and other unusual features
  • 4. Comparing shapes
• E. Exploring categorical data
  • 1. Frequency tables and bar charts
  • 2. Marginal and joint frequencies for two-way tables
  • 3. Conditional relative frequencies and association
  • 4. Comparing distributions using bar charts

Student Learning Targets:

• I will define categorical and quantitative variables
• I will describe and compare the distributions of data including shape, center, spread, and outliers
• I will construct and interpret histograms, dotplots, stemplots, and boxplots
• I will calculate and interpret measures of center (mean and median)
• I will calculate and interpret measures of spread (range, IQR, and standard deviation)

Essential Questions:

• How do you construct and interpret graphical displays of distributions of univariate data?
• How do your summarize distributions quantitatively?
• How do you compare distributions?
• What is the appropriate graphical display for a set of data?
• How are measures of center, spread, and position used to interpret graphical displays?
• What does the shape of a distribution tell you about the data?

Extra Information:

Adopted Textbook:

District Grading Policy

Texas Gateway Online Resource Center