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EngageNY
Methods for Selecting a Random Sample
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...
American Statistical Association
How Random Is the iPod’s Shuffle?
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...
EngageNY
Differences Due to Random Assignment Alone
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...
EngageNY
Experiments and the Role of Random Assignment
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...
EngageNY
Random Sampling
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...
EngageNY
Probability Distribution of a Discrete Random Variable
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...
EngageNY
Discrete Random Variables
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...
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.
EngageNY
Sampling Variability
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...
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
Designing Samples/Simple Random Samples
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.
Curated OER
Random Acts of Kindness for Kids
Students examine the concept of kindness to others. They define kindness, listen to various stories about random acts of kindness, and create an e-mail chain describing their own acts of kindness that is sent around the world.
Illustrative Mathematics
Mr. Brigg's Class Likes Math
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...
Curated OER
Sampling Bias And the California Recall
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...
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 students during a class election can be best...
Curated OER
Random Acts of Kindness For Kids
Develop a world-wide, email chain on which class members can showcase their acts of kindness. After defining the meaning of random acts of kindness through discussion and through a reading of Random Acts of Kindness,...
Curated OER
Using Random Sampling to Draw Inferences
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...
EngageNY
Expected Value of a Discrete Random Variable
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.
Code.org
Looping and Random Numbers
Repetition, repetition, repetition. Get your class to efficiently repeat a section of code over and over again by introducing looping. Class members learn looping to quickly recreate objects they want to appear more than once in their...
Curated OER
The Random Walk II
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...
Curated OER
The Random Walk
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...
Statistics Education Web
Sampling in Archaeology
Compare different random sampling types using an archaeological setting. Scholars collect data from an archaeological plot using simple random samples, stratified random samples, systematic random samples, and cluster random samples....
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,...
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
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