➕ 7th Grade Math · Unit 5

Statistics

11 short narrated lessons in 2 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 7.SP.A.1 7.SP.A.2 7.SP.B.3 7.SP.B.4

Picture from the lesson “Populations and Samples”
Populations and Samples
Picture from the lesson “Random Samples”
Random Samples
Picture from the lesson “Biased Samples”
Biased Samples

What your child will learn

Sampling and inference

  1. Populations and SamplesExplain the difference between a whole population and a sample taken from it.
  2. Random SamplesExplain why a random sample is more likely to represent a population than a hand-picked one.
  3. Biased SamplesIdentify ways a sample can be biased and suggest a fairer way to sample.
  4. Making Inferences from SamplesUse data from a random sample to estimate something about a population.
  5. Sampling and Inference Review ReviewReview populations, random and biased samples and making inferences from samples.

Comparing two populations

  1. Mean and Mean Absolute DeviationFind the mean and mean absolute deviation of a data set.
  2. Comparing Data with Dot PlotsCompare two data sets shown in dot plots by looking at their centers and spreads.
  3. Measuring OverlapDescribe how far apart two groups are by comparing the difference in their means to their mean absolute deviations.
  4. Comparing with Medians and RangesCompare two random samples using medians and interquartile ranges to make an inference about two populations.
  5. Comparing Two Populations: Review ReviewReview comparing two data sets using measures of center and spread.
  6. Unit 5 Test: StatisticsShow what you learned in the whole unit (Sampling and inference, Comparing two populations) by answering mixed questions.

Try a question from this unit

From the lesson “Populations and Samples”

A town wants to know what share of its 5,000 households recycle. Workers survey 200 households. What is the population?

  • The 200 households surveyed
  • Every household in the town
  • Only the households that recycle
  • The workers doing the survey
Show the answer

Every household in the town. The question is about every household in town, so all 5,000 households form the population. The 200 surveyed households are the sample, a part taken from that population.

Hint kids see after a wrong try: “The population is the whole group the question is about, not only the group that answered.”

Key words

  • population
  • sample
  • random sample
  • representative
  • bias
  • inference
  • estimate
  • mean
  • mean absolute deviation
  • dot plot
  • center
  • spread
  • overlap
  • median
  • interquartile range

Try these lessons in Kids Shelf

Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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