1.10 Unit 1 summary

1.10.1 Big ideas

  • Data have variance
  • Distributions are things

1.10.2 You should be able to

Plot distributions

  • Make a dotplot of a distribution in TinkerPlots

Describe distributions

  • Describe a distribution in terms of shape, center, and spread (using mean and SD as appropriate)
  • Calculate the mean and SD of a distribution in TinkerPlots
  • Calculate a range of likely values in a distribution using the mean and SD

Describe statistical association

  • Describe how the distribution of one variable is related to another variable (statistical association) in terms of strength (strong, moderate, weak, none) and direction (positive or negative)
  • Find a regression equation in TinkerPlots

1.10.3 You should understand

  • What the mean represents in a distribution and why we use it to summarize the “typical” value in the distribution
  • What the standard deviation represents in a distribution and why we use it to summarize the variation in the distribution
  • What the correlation statistics represents and how to interpret it
  • How to interpret the slope and y-intercept in a regression equation

1.10.4 TinkerPlots™ skills

  • Create a dotplot of the distribution of a single variable
  • Create a dotplot of a quantitative variable that is split by category
  • Create a scatterplot
  • Find the mean and SD of a distribution
  • Use the Divider tool to select a range of values.
  • Calculate the correlation statistic
  • Calculate the slope and y-intercept of a regression equation

1.10.5 Vocab

  • Distribution
  • Mean
  • Standard deviation
  • Unimodal, bimodal, uniform
  • Symmetric, skewed
  • Statistical association
  • Linear regression, slope, intercept
  • Scatterplot