Regents Prep
Activity to Show Sample Population and Bias
There is bias in many aspects of our lives, and math is no exception! Learners explore provided data to understand the meaning of biased and random samples. The resource includes various data sets from the same population, and...
EngageNY
Using Sample Data to Estimate a Population Characteristic
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The lesson explores the meaning of a population versus a sample and how to interpret the...
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
EngageNY
Sampling Variability in the Sample Mean (part 2)
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
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
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.
Statistics Education Web
Using Dice to Introduce Sampling Distributions
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...
EngageNY
Margin of Error When Estimating a Population Proportion (part 2)
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
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.
EngageNY
Sampling Variability in the Sample Proportion (part 2)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
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,...
Mathematics Assessment Project
Sampling and Estimating: Counting Trees
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...
Curated OER
Galaxy Hunter - A Cosmic Photo Safari
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...
EngageNY
Types of Statistical Studies
All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data.
Curated OER
Designing Samples/Simple Random Samples
Students explore the concept of sampling techniques. In this sampling techniques lesson plan, students identify possible sources of bias in situations such as phone polls, supermarket surveys, and drawing names from a phone book....
Illustrative Mathematics
Why Randomize?
Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...
American Statistical Association
How Long Are the Words in the Gettysburg Address?
It's 268 words, but one only needs to consider 10 of them at a time. A data collection and analysis activity has learners investigate the lengths of words in the Gettysburg Address. They first self-select a sample of 10 words and...
National Security Agency
Sampling for a Rock Concert
Over the course of three class periods, middle schoolers design an experiment to provide learner input to administration about which rock band to invite to play at school. They practice several random sampling exercises, all well...
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...
Statistics Education Web
Who Sends the Most Text Messages?
The way you use statistics can tell different stories about the same set of data. Here, learners use sets of data to determine which person sends the most text messages. They use random sampling to collect their data and calculate a...
Curated OER
Annual Wetland Plant Diversity Survey
High schoolers locate an area of marsh and, by measuring the total number of individual plants in a sample area, determine whether purple loosestrife population density is correlated to the total plant diversity of the community. They...
EngageNY
Evaluating Reports Based on Data from a Sample
Statistics can be manipulated to say what you want them to say. Teach your classes to be wise consumers and sort through the bias in those reports. Young statisticians study different statistical reports and analyze them for...
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 instructional activity on determining significance differences in experimental data prompts learners to analyze the...