Education Technology

Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Probability and Statistics

Two-Way Tables and Association

Activity Overview

This lesson involves analyzing the results of a survey using a two-way frequency table.

As a result, students will:

  • Interpret what the values mean in both the frequency table and conditional probability table.
  • Use a graph of the relationship between two items from the survey to report conditional probabilities.
  • Generate a simulated sampling distribution and interpret how likely a given outcome is expected to occur.

Objectives

  • Students will be able to summarize data from a two-way frequency table.
  • Students will be able to interpret conditional probabilities from a two-way table.
  • Students will be able to interpret expected values from a simulation as an estimate of outcomes.
  • Students will be able to interpret expected values as an indication of association.

Vocabulary

  • association
  • conditional probability table
  • random sample
  • survey
  • two-way frequency table