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Mathematics · Grade 7

Sampling and Comparing Populations

Learners separate populations from samples, tell random samples from biased ones, and use random samples to estimate percents and means, seeing in a simulation that larger samples vary less. They then compare two groups by their centers and their mean absolute deviations, express the gap between means as a number of MADs, and use that measure to make careful informal inferences about two populations from random samples.

  • 4 lessons
  • About 95 minutes
  • Sampling and comparing populations check: 11 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, sort into groups and true or false
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Explain that a sample can stand for a population only when it is representative, and tell random sampling methods from biased ones.
  • Use data from a random sample to estimate a population percent or mean, and explain how sample-to-sample variation depends on sample size.
  • Compare two data distributions using their means and mean absolute deviations, expressing the difference of the means as a multiple of the MAD.
  • Use centers and variability from random samples to draw and judge informal inferences about the difference between two populations.

Lessons

  1. Populations, samples and bias 8 steps5 practiceabout 22 min
  2. Estimating from samples 9 steps5 practiceabout 24 min
  3. Comparing two groups: center and MAD 8 steps5 practiceabout 24 min
  4. Inferences about two populations 8 steps4 practiceabout 25 min
  5. Sampling and comparing populations check 11 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.
  • Coordinate CourierDrive the parcel van to the right address on the coordinate grid.

More 7th grade math

Guide for grown-ups