American Statistical Association
How Random Is the iPod’s Shuffle?
Shuffle the resource into your instructional activity repertoire. Scholars use randomly-generated iPod Shuffle playlists to develop ideas about randomness. They use a new set of playlists to confirm their ideas, and then decide whether...
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.
Curated OER
Random Probability
In this statistics and probability worksheet, young statisticians solve and complete 13 different problems related to probability, percentages, and normal distributions. They consider data models, assumptions about the models, and find...
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
Valentine Marbles
if you've ever had to guess how many items were in a jar, then this problem is for you! With a big jar full of red and white marbles, does picking a sample of 16 allow your learners to get a good estimate on the percentages of each...
US Department of Commerce
Exploring Sampling Variability - Higher Education Attainment Across The United States
More education in statistics is always beneficial. Given cards that provide the proportion of adults with bachelor's degrees in 10 random US states, scholars individually determine the sample percentage of states in which more than 30...
EngageNY
Estimating a Population Proportion
Find the percent of middle schoolers who want the ability to freeze time. The 21st installment in a series of 25 has groups collect a random sample of respondents who answer a question about superpowers. Using sample statistics,...
Discovery Education
Fuss About Dust
Dust is everywhere around us; it's unavoidable. But what exactly is dust and are certain locations dustier than others? These are the questions students try to answer in an interesting scientific investigation. Working independently or...
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...
EngageNY
Understanding Variability When Estimating a Population Proportion
Estimate the proportion in a population using sampling. The 20th installment in a series of 25 introduces how to determine proportions of categorical data within a population. Groups take random samples from a bag of cubes to determine...
Mathed Up!
Stratified Sampling
Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a activity of questions on this topic.
Education Development Center
Choosing Samples
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
Curated OER
How Many?
Middle schoolers explore and design ways to collect data through simulations and random samples. They perform two experiments to determine the answers to various probability problems, and present the data/graphs in the form of a...
College Board
2014 AP® Statistics Free-Response Questions
Turn a summative assessment into a formative assessment! The 2014 AP® Statistics exam shows learners the level of difficulty they will encounter on their end-of-course exams. Within the six items, the test highlights concepts such as...
Curated OER
Random Samples and Surveys
In this random samples worksheet, students answer 4 questions, including a bonus, regarding surveys and confidence intervals.
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...
Curated OER
Boxing Up
Middle schoolers explore the relationship between theoretical and experimental probabilities. They use a box model to enter data provided and to randomly draw tickets from the box. Pupils click on any bar in a chart to display the...
Curated OER
Data Analysis Using Technology
Analyze data using technology. Middle schoolers design data investigations, describe data, and draw their own conclusions. Then they select the best type of graph, graph and interpret the data, and look for patterns in trends. They also...
Statistics Education Web
It Creeps. It Crawls. Watch Out For The Blob!
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
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...