Curated OER
Data Collection
Pupils investigate qualitative and quantitative data. In this statistics lesson, students gather data on heights and weights of people and graph the distribution. Pupils discuss the differences between qualitative and quantitative data.
Illustrative Mathematics
Block Scheduling
If a random sample determines that 45% of learners favor block scheduling, is it possible that the actual percentage might be 50% or 60%? In this task, learners use data from a computer-generated simulation to determine the plausibility...
Indiana Science
How Many E’s?
Seventh graders explore random sampling by estimating the number of e's on the newspaper. They explain the possible error sources for this type of sampling, and compare the accuracy of sampling a small and large population. This is a...
Curated OER
ExplorA-Pond: 6th Grade Area and Random Number Tables
Sixth graders estimate surface area of a pond using a random number table.
EngageNY
Ruling Out Chance (part 1)
What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by determining the...
Illustrative Mathematics
The Marble Jar
A jar is filled with 1,500 marbles and customers of a bank can enter a contest to guess the correct percentage of blue marbles. How can an employee at the bank estimate the actual percentage without physically counting all 1,500 marbles?...
Curated OER
Business & Statistics: Final Exam
In this business and statistics worksheet, young scholars read real-life business problems, arrange data, and identify the probability method best used to determine the answer. They identify the type of random sample, draw stem-and-leaf...
Curated OER
Explorations for the Area Probability Applet
Math whizzes use the area probability applet to manipulate the size of the circle and the rectangle to explore the probability that a point in the rectangle is also in the circle.
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 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,...
College Board
2018 AP® Statistics Free-Response Questions
Are your classes ready for their final exams? Give them a test run with the 2018 AP® exam. The resource provides the six free-response questions covering topics such as confidence intervals, population proportions, and least-squares...
College Board
2004 AP® Statistics Free-Response Questions
Provide some practice showing the work. Pupils work through six free-response questions that require them to show their work. They use their knowledge of statistics to develop solutions to problems within context. Scenarios range from...
College Board
2006 AP® Statistics Free-Response Questions
Catapult the class into the test. Released items from the free-response section of the 2006 AP® Statistics exam ask individuals to use statistics to figure out the best catapult for determining the accuracy of thermometers. The six...
College Board
2007 AP® Statistics Free-Response Questions Form B
So that is how they do it! Pupils and teachers see how College Board assesses topics using the free-response questions from Form B of the 2007 AP® Statistics test. The six questions are divided in two sections, the first five being more...
Illustrative Mathematics
Random Walk III
Don't cross the line; just walk along it. Scholars investigate a scenario in which a person starts at zero on a number line, then moves left or right depending on a flip of a coin. They determine the number of outcomes for six flips,...
Curated OER
Mapping Data Made Manageable
Young scholars explore how to select unbiased random samples as they choose report data to include on maps. They propose methods for choosing random numbers and discuss their advantages and disadvantages. They consider bias in science.
Curated OER
Integrated Algebra Regents Questions: Combinations and Probability
In this combinations and probability learning exercise, middle schoolers solve 3 short answer problems. Students draw tree diagrams to represent possible outcomes in a sample space. Middle schoolers determine the probability of an event.
Curated OER
Business 90 Midterm 2: Probability
In this probability worksheet, students examine given business situations and determine the probability of an event. They create tree diagrams and contingency tables. This nine-page worksheet contains 7 multi-step problems.
College Board
2005 AP® Statistics Free-Response Questions Form B
Here's another great way to learn from the past. Released free-response questions provide a look into how concepts measured on the 2005 AP® Statistics Exam on Form B. Teachers and pupils review questions that cover concepts such as...
College Board
2000 AP® Statistics Free-Response Questions
A little communication goes a long way. Free-response questions from the 2000 AP® Statistics exam require pupils to communicate their results—not just perform calculations. The questions ask individuals to explain, discuss, and interpret...
College Board
2002 AP® Statistics Free-Response Questions
Statistically, prepared classes perform better. Teachers and pupils use the released 2002 AP® Statistics Free-Response questions to gain an understanding of how questions may be worded on the exam. Resources request that teachers put an...
Curated OER
Election Poll, Variation 2
When a random sample isn't enough, your math class can compare the data from a physical simulation to decide if the probability is still likely. The lesson is part of a probability series that focuses on one question and different ways...