Introduction to Sampling and Estimation

learning_notes

Last updated: 8/16/2025

Key Concepts

  • Random Sampling: A method of selecting a subset of individuals from a population to make generalizations about the whole group.
  • Sample Proportions: The fraction of a sample exhibiting a certain characteristic, which can be used to estimate the proportion in the entire population.
  • Estimating Population Values: Using sample proportions to infer the likely number of individuals in the whole population that exhibit a characteristic.

Skills Covered

  • Extracting sample statistics from problem statements.
  • Using sample proportions to estimate population proportions.
  • Setting up and solving proportion equations.

Example Problems

  • A company surveyed 50 employees, and 10 of them attended a training. Estimate how many of the 500 employees in the company likely attended the training.
  • A poll of 200 voters found that 60% supported a candidate. Predict how many of 10,000 voters would support the candidate.

Features

  • Aris - 1on1 AI tutor
  • Skills Tree
  • Improvement analytics
  • Error-Hacking Vault
  • Special topics
logoAris Tutor

ArisTutor is powered by a group of standardized test prep experts from top-tier colleges who aspire to help more students get high-quality ACT, AP and SAT prep resources at a fraction of the cost of premium tutors.

SAT® and AP® are trademarks registered by the College Board, which is not affiliated with, and does not endorse, this product.
ACT® is a trademark registered by the ACT, Inc, which is not affiliated with, and does not endorse, this product.