Curated OER
Galaxy Hunter - A Cosmic Photo Safari
Space science stars journey through our night sky and take virtual photos of galaxies to investigate simple random samples. Higher math is used to analyze the data collected. Copy the evaluation/assessment questions onto a handout for...
EngageNY
Sampling Variability and the Effect of Sample Size
The 19th installment in a 25-part series builds upon the sampling from the previous unit and takes a larger sample. Pupils compare the dot plots of sample means using two different sample sizes to find which one has the better variability.
EngageNY
Why Worry About Sampling Variability?
Are the means the same or not? Groups create samples from a bag of numbers and calculate the sample means. Using the sample means as an estimate for the population mean, scholars try to determine whether the difference is real or not.
College Board
Sampling Distributions
The validity of data depends on the strength of the sample. A collection of instruction and activities focuses on sampling distributions and the analysis of that data. Scholars learn about distribution tests such and Central Limit...
Willow Tree
Data Sampling
Some say that you can make statistics say whatever you want. It is important for learners to recognize these biases. Pupils learn about sample bias and the different types of samples.
Curated OER
College Athletes
When more basketball players are taller than field hockey players at a school, is it safe to say that in general they are always taller? The activity takes data from two college teams and your learners will be able to answer questions...
Curated OER
Designing Samples/Simple Random Samples
Students explore the concept of sampling techniques. In this sampling techniques lesson, students identify possible sources of bias in situations such as phone polls, supermarket surveys, and drawing names from a phone book. Students...
Curated OER
Populations Lab - Cultures Lesson: Statistics / Sampling Patterns
Ninth graders examine the application of statistical sampling, data collection, analysis, and representation that exists in schooling and teenage lifestyles in Japan and the United States.
American Psychological Association
A Tasty Sample(r): Teaching about Sampling Using M&M’s
Here's a sweet activity! As part of a study of psychological research methods and statistic gathering, individuals develop a hypothesis about the number of each color of M&Ms in a fun-size package. They then count the number of each...
EngageNY
Using Sample Data to Estimate a Population Characteristic
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The activity explores the meaning of a population versus a sample and how to interpret...
EngageNY
Sampling Variability in the Sample Mean (part 2)
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 4
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 5
Show learners how to use simulations and random sampling to reach conclusions with the last resource in a 25-part series. The assessment contains three scenarios, each with several parts, and covers comparing populations using random...
Biology Corner
Random Sampling
Simulate a random sampling of data by tearing 20 sheets of paper into slips and place a number on 10 and a letter on 10. They place the slips in two separate containers and randomly draw a number and a letter. They record their...
Biology Junction
Population Genetics
Genetic variation shows the health of a population, yet cheetahs show very little variation over that last 10,000 years. Scholars learn the importance of genetic variation in populations after viewing an informative presentation. It...
EngageNY
Margin of Error When Estimating a Population Proportion (part 1)
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
EngageNY
Margin of Error When Estimating a Population Mean (part 2)
Don't leave your classes vulnerable in their calculations! Help them understand the importance of calculating a margin of error to represent the variability in their sample mean.
EngageNY
Margin of Error When Estimating a Population Proportion (part 2)
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
EngageNY
Margin of Error When Estimating a Population Mean (part 1)
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
Statistics Education Web
Population Parameter with M-and-M's
Manufacturers' claims may or may not be accurate, so proceed with caution. Here pupils use statistics to investigate the M&M's company's claim about the percentage of each color of candy in their packaging. Through the activity,...
American Statistical Association
More Confidence in Salaries in Petroleum Engineering
Making inferences isn't an exact science. Using data about salaries, learners investigate the accuracy of their inferences. Their analyses includes simulations and randomization tests as well as population means.
EngageNY
Sampling Variability in the Sample Proportion (part 2)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
Illustrative Mathematics
Why Randomize?
Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...
National Security Agency
Sampling for a Rock Concert
Over the course of three class periods, middle schoolers design an experiment to provide learner input to administration about which rock band to invite to play at school. They practice several random sampling exercises, all well...