Random sampling is as easy as choosing numbers. Teams use random numbers to create a sample of book lengths from a population of 150 books. The groups continue by developing a technique to create samples to compare from two populations...

Learning isn't a random process. A well-designed interactive lesson helps classes make key conclusions about stratified random sampling. They calculate group percentages and use those percentages to decide on sampling totals.

Teach the concept of simple random sampling through an interactive lesson. Learners explore the concept by considering the strength of sampling methods. Size of the samples varies also as individuals determine which methods lead to the...

Shuffle the resource into your 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 the iPod...

It takes a lot of planning to achieve a random result! Learners compare results of random assignment, and conclude that random assignment allows results to be attributed to chance. They also realize the set of random means...

Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.

Time to experiment with mathematics! Learners study experimental design and how randomization applies. They emphasize the difference between random selection and random assignment and how both are important to the validation of the...

Sample pennies to gain an understanding of their ages. The 16th installment of a 25-part series requires groups to collect samples from a jar of pennies. Pupils compare the distribution of their samples with the distribution of the...

Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...

You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...

Seventh and eighth graders solve and complete 20 various types of short answer problems. First, they write a brief description of themselves including those as stated. Then, learners categorize the type of sampling used in various...

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...

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. 

Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...

Use a Punnett square to calculate probabilities. The resource presents a situation in which two patients are randomly selected from a group of patients with a particular illness. Pupils use the interactive to determine the likelihood...

Learners consider the advantages and disadvantages of various sampling techniques. They define a simple random sample and identify possible sources of bias in other types of samples. Answer Key included.

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...

A quick discussion question that brings some collaboration into your classroom will allow your thinkers to make a decision about sampling. Mr. Briggs wants to know if the results from his class are a valuable comparison to the entire...

Using a 2002 California Gray David recall vote as an example, young statisticians  identify sources of bias in samples and find ways of reducing and eliminating sampling bias. They consider ways to select random samples from a...

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 students during a class election can be best...

Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...

Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...