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Statistics (Introductory Statistics) Lesson

What's the Story Behind the Number? Populations, Samples, Parameters, and Data Types

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High School (grades 11–12) or introductory college-level Statisticsbuilding thinking classroomsHSS-IC.A.1, HSS-ID.A.150 min
Learning Objective

Students will be able to identify the population, sample, variable of interest, and data type in a statistical study, distinguish between a parameter and a sample statistic, and differentiate descriptive statistics from inferential statistics.

Lesson Overview

Students move from identifying everyday data as qualitative or quantitative, to distinguishing populations from samples, to classifying numerical values as parameters or statistics, to connecting descriptive and inferential thinking — all grounded in real-world contexts like gas prices, MLB salaries, and sleep studies.

Materials

  • Vertical whiteboards or chart paper
  • Dry-erase markers (multiple colors)
  • Random grouping cards or tool
  • Four-quadrant note-taking template (half-sheet or notebook)
  • Sticky notes (optional, for launch)

Scaffolded Task Progression

1Task 1
Look at this list of data values collected from five students:
- Favorite subject: Math, English, Science, Math, Art
- Height: 162 cm, 175 cm, 158 cm, 181 cm, 170 cm
- Number of AP classes: 3, 1, 4, 2, 3
- Eye color: Brown, Blue, Brown, Green, Brown

For each variable, decide: is the data qualitative (categorical) or quantitative (numerical)? Record your answers on the board with a brief reason for each.
2Task 2
The U.S. Department of Energy surveys approximately 800 gasoline stations each week to find the average price of regular gasoline. There are over 160,000 gas stations in the United States. On your board, answer:
a. What is the population in this study?b. What is the sample?c. What does the data set consist of — what type of data is it (qualitative or quantitative)?

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