Education Technology

### Mathematics lessons for IB® Diploma Programme

Analysis and Approaches | Probability and Statistics

## Analyzing Country Data

### Activity Overview

This activity involves sample listings of the ages of 200 people from each of three countries: USA, Kenya and Japan.

Students will:

• Consider why a summary of ages is important and how a summary of the ages can be connected to a better understanding of the populations of each country.
• Examine sample ages from the three countries displayed in a spreadsheet and in histograms with percent on the vertical scale that highlight the distinctive features of the distribution of the ages from each sample.
• Connect descriptions of the histograms to summaries based on box plots.
• Learn that samples are not exact pictures of the population but sample statistics can provide a reasonable way to develop estimates of the total populations of each country.
• As an extension, students create a sample of their “own” country and put together a summary of the country based on the sample.

### 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