Other
University at Albany: Populations and Samples: The Principle of Generalization
This resource explains what generalization is in statistics, its advantages and disadvantages, and problems that can occur, e.g., sample or response bias. Includes detailed examples of sampling error and sample bias.
Texas Education Agency
Texas Gateway: A Single Population Mean Using the Normal Distribution
This lesson explains how to calculate and interpret the confidence interval for a population mean. It also looks at the effect on the confidence interval of changing the confidence level or sample size. It then explains how to find the...
CK-12 Foundation
Ck 12: Statistics: Sampling Distributions
[Free Registration/Login may be required to access all resource tools.] This concept introduces the sampling distribution of the mean, inferring the population mean from samples and sampling error.
Sophia Learning
Sophia: Creating a Good Survey and Analyzing the Results
In this activity, students will learn how to develop a sample survey while also using inferential statistics to solve real-world problems.
US Census Bureau
Population Pyramids
Visual representations of population distribution by age and sex for any country.
Science Buddies
Science Buddies: Estimation and Population Size
Have you ever wanted to take a short cut? How about when doing your math homework? In this experiment you can learn how estimation can save you time doing math calculations. But beware, some estimations are better than others. Can you...
Scholastic
Scholastic: Data Sampling
Data Sampling is a cutting-edge digital program designed to give students multiple opportunities to dig deeply into the mathematics and real-world purposes of representative sampling.
Other
Journal of Statistics Education: A Sample / Population Size Activity
The author of the article admits having had a difficult time in the past when getting students to understand that samples need to contain a substantial portion of the population. Here, an activity is detailed to bring this important fact...
Science Education Resource Center at Carleton College
Serc: Count the Fs: Why a Sample Instead of a Census?
In this interactive lecture activity, learners count the number of times the letter F appears in a paragraph. The activity demonstrates that a census may not always give accurate information, and that sample counting can be a more...
Science Education Resource Center at Carleton College
Serc: Investigating the Ecology of Goldenrod Galls Through Biological Sampling
In this biology field lab exercise, learners conduct a stationary population study of goldenrod galls. They examine a host of factors including goldenrod plant density, goldenrod gall density, gall height, gall mass, larval exit hole...
Common Core Sheets
Common Core Sheets: Statistics & Probability 7.sp.1 Worksheets
Create or print a worksheet to assess students' understanding of identifying populations and samples.
Texas Education Agency
Texas Gateway: Making Inferences/convincing Arguments About Samples/populations
Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.
Khan Academy
Khan Academy: Making Inferences From Random Samples
Given a random sample, practice figuring out what can we reasonably infer about the entire population? Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Web Center for Social Research Methods
Research Methods Knowledge Base: Sampling in Research
Site discusses the use of sampling in research. The key statistical terms used in sampling are linked for the user to quickly find definitions. The major concepts of probability and nonprobability are also highlighted.
Other
Nearpod: Random Sampling
In this lesson, 7th graders will learn how to use random sampling to make generatlizations and predictions about a population.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Sampling Distributions and the Central Limit Theorem
Students learn about sampling distributions and the Central Limit Theorem. Topics explored are sample mean, population mean, and using the Central Limit Theorem. The tutorial investigates the statistics concepts through class notes and...
University of Cambridge
University of Cambridge: Maths and Sports: Who's the Best?
Can you use data from the 2008 Beijing Olympics medal tables to decide which country has the most naturally athletic population? This data-handling activity encourages mathematical investigation and discussion and is designed to be...
Alabama Learning Exchange
Alex: Something's Fishy: A Lesson in Biological Sampling
Determining the population in a larger area by tagging. By using proper scientific method and careful sampling procedures, learners learn how biologists work in the field to collect data about a population. Students will also calculate...
Other
Fayetteville State Univ.: Sampling Distributions
A detailed explanation of statistical sampling distributions is provided here. Several graphs are attached to aid in understanding. The sampling distribution of the mean and the Central Limit Theorem are also discussed at this site.
CPALMS
Cpalms: Population of Utah
[Free Registration/Login Required] This is a formative assessment task where students are asked to estimate the population of Utah based on information given about its population density and the perimeter of its state boundaries. Samples...
Houghton Mifflin Harcourt
Holt, Rinehart and Winston: Homework Help Independent Practice: Samples and Surveys
Get independent practice working with samples and surveys. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
National Council of Teachers of Mathematics
The Math Forum: Probability and Statistics
This page is a math home page that includes information on all topics of probability and statistics.
Columbia University
University of Michigan: Generalizing From Sample to Population [Pdf]
This is a slideshow presentation that offers many examples of statistical studies where generalizations to the larger population were made, often leading to incorrect assumptions. While the author's commentary has been omitted, there are...
Science Education Resource Center at Carleton College
Serc: Investigating the Long Meadow Lake Unit of Valley Nat'l Wildlife Refuge
This is a field investigation at the Bass Ponds Trailhead area in the MN Valley National Wildlife Refuge in which students will collect data in the field and samples to test back in the classroom. Students will try to elicit the...