PBS
The History and Use of Sampling Methods
Young mathematicians define population, draw convenience sample from the population, draw quota sample from the population, and draw random probability sample from the population. They explain why a random probability sample usually...
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...
Houghton Mifflin Harcourt
Random Samples: Estimating Population
With this estimating populations assignment, your class will learn about taking random population samples and calculating the average number of species in the samples to estimate the total population. Students use the given data to find...
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.
Statistics Education Web
Using Dice to Introduce Sampling Distributions
Investigate the meaning of a sample proportion using this hands-on activity. Scholars collect data and realize that the larger the sample size the more closely the data resembles a normal distribution. They compare the sample proportion...
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.
Illustrative Mathematics
Election Poll, Variation 1
Your class will learn what it means to take a random sample of a population and to draw inferences from the information gained. In part a, of the exercise, you discuss with your class how middle schoolers during a class election can be...
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...
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,...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target G
Don't leave learning to chance! Assess your class's understanding of random sampling and making inferences using questions from the experts at Smarter Balanced. As the seventh of nine parts in the Gr. 7 Claim 1 Item Slide Shows series,...
Mathematics Assessment Project
Sampling and Estimating: Counting Trees
Your task today: count all the trees on a tree farm. To complete the assignment, learners first estimate the number of trees on a tree farm using random sampling. To improve their own response they then evaluate provided responses to 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....
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...
Curated OER
Estimating the Mean State Area
Seventh grade statisticians randomly select five states and then determine the mean area. The class then works together to create a dot plot of their results.
Curated OER
Random Sampling
In this random sampling worksheet, students compare data collected by a random sample to data collected by an actual count using pieces of paper with numbers written on them. They compare their data for the actual count to the random...
Curated OER
Graphing Data
Seventh graders solve and graph 10 different problems that include various questions related to data on a graph. First, they create bar graphs to display the data given. Then, pupils determine the random sample of a population listing...
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...
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...
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.
Curated OER
Hypothesis Testing: Two Sample Tests
High schoolers experiment and compare results of two populations. In this men and women populations lesson, students examine the difference in hand span for men and women. High schoolers calculate a norm based on their results. Students...
American Statistical Association
Chunk it!
Chunking information helps you remember that information longer. A hands-on activity tests this theory by having learners collect and analyze their own data. Following their conclusions, they conduct randomization simulations to test...
EngageNY
Types of Statistical Studies
All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data.