Instructor Guide Comparing Quantitative Distributions: Corequisite Support

While this support activity is designed for a face-to-face, synchronous delivery, it should be noted that supporting text and interactive examples have been embedded in the digital assignment page to assist asynchronous or hybrid course delivery and to be made more accessible to students performing make-up work.

Notes for synchronous active-learning delivery

The primary purpose of this corequisite support activity is to practice describing the distribution of a variable given a histogram. This will help students prepare to compare distributions in the upcoming in-class activity. Have students work in pairs to discuss. The following four features should be used to guide students through describing the distribution of a variable. A complete description will include a discussion of the following:

  • Shape: The overall pattern (left skewed, right skewed, symmetric) and the number of peaks (unimodal, bimodal, multimodal, uniform)
  • Center: A measure that describes where the middle of the distribution is. The center is a number that describes a typical value. For example, one way to think about center is that it could be the point in the distribution where about half of the observations are below it and half are above it.
  • Spread: A measure of how far apart the data are. In the previous and upcoming lesson, the range is used to measure spread. The range is the difference between the maximum value and minimum value.
  • Outliers: Unusual observations that are outside the general pattern of the
    distribution.