Lesson Plan
EngageNY

Methods for Selecting a Random Sample

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Random Sampling

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Sampling Variability

For Teachers 7th Standards
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...
Lesson Plan
Curated OER

Sampling Bias And the California Recall

For Teachers 9th - 11th
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...
Lesson Plan
Statistics Education Web

Sampling in Archaeology

For Students 9th - 12th Standards
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....
Lesson Plan
EngageNY

Selecting a Sample

For Teachers 7th Standards
So what exactly is a random sample? The 15th part in a series of 25 introduces the class to the idea of selecting samples. The teacher leads a discussion about the idea of convenient samples and random samples. Pupils use a random...
Lesson Plan
Curated OER

Using Random Sampling to Draw Inferences

For Teachers 7th Standards
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...
Lesson Plan
Statistics Education Web

It’s Elemental! Sampling from the Periodic Table

For Students 9th - 12th Standards
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...
Lesson Plan
Illustrative Mathematics

Mr. Brigg's Class Likes Math

For Teachers 6th - 8th Standards
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...
Lesson Plan
Curated OER

Random Sampling

For Teachers 7th - 9th
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...
Lesson Plan
Curated OER

Designing Samples/Simple Random Samples

For Teachers 9th - 12th
Students 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.
Lesson Plan
Illustrative Mathematics

Election Poll, Variation 1

For Teachers 6th - 8th Standards
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 young scholars during a class election can be...
Lesson Plan
EngageNY

Using Sample Data to Compare the Means of Two or More Populations

For Teachers 7th Standards
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
Lesson Plan
EngageNY

Using Sample Data to Compare the Means of Two or More Populations II

For Teachers 7th Standards
The 23rd segment in a series of 25 presents random samples from two populations to determine whether there is a difference. Groups determine whether they believe there is a difference between the two populations and later use an...
Lesson Plan
Statistics Education Web

Using Dice to Introduce Sampling Distributions

For Students 9th - 12th Standards
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...
Lesson Plan
Mathematics Assessment Project

Sampling and Estimating: Counting Trees

For Teachers 7th Standards
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...
Lesson Plan
Curated OER

Mark, Recapture, Sampling

For Teachers 5th - 8th
Learners conduct a simulation to explore how scientists estimate the size of animal populations. They analyze a random sample and then extrapolate those results to a larger population. Additionally, they will apply the principals of...
Lesson Plan
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Curated OER

Estimating the Mean State Area

For Teachers 6th - 8th Standards
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. 
Lesson Plan
Curated OER

Galaxy Hunter - A Cosmic Photo Safari

For Teachers 10th - 12th
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...
Lesson Plan
American Statistical Association

How Random Is the iPod’s Shuffle?

For Teachers 6th - 8th Standards
Shuffle the resource into your lesson 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 randomly...
Lesson Plan
EngageNY

Sampling Variability and the Effect of Sample Size

For Teachers 7th Standards
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.
Lesson Plan
EngageNY

Why Worry About Sampling Variability?

For Teachers 7th Standards
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.
Lesson Plan
Willow Tree

Data Sampling

For Students 9th - 12th Standards
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.
Lesson Plan
EngageNY

Differences Due to Random Assignment Alone

For Students 10th - 12th Standards
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...

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