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Inferences from Random Samples NOTES & PRACTICE

Random samples notes and practice: students define random sampling, then use survey results to estimate population totals and percentages and judge whether a sample is valid.
Grades
Grade 7, Middle School
File type
PDF
Preparation
Print ready

Updated Oct 26, 2026

Subject
Math, Statistics
Topic
inferences, notes
Resource types
Activities
Preparation
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About this resource

What's inside this resource

This resource was developed to meet the requirements of the 7th Grade Statistics & Probability Standard below:

CCSS.MATH.CONTENT.7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Use data from a random sample to estimate a population value
  • Calculate percentages from sample survey results
  • Explain whether a sample is valid for making an inference

Teaching tips

  • The Google Forms test practice is linked, so students need internet access to use it.

Skills covered

  • Proportional reasoning — scaling sample survey results up to a population
  • Evaluating samples — answering a discussion question about sample validity

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Resource details

Concepts & topics

Core concepts

  • Random sample
  • Population
  • Inference
  • Proportional reasoning

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