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...
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...
EngageNY
Populations, Samples, and Generalizing from a Sample to a Population
Determine the difference between a sample statistic and a population characteristic. Pupils learn about populations and samples in the 14th portion in a unit of 25. Individuals calculate information directly from populations called...
Curated OER
Gold Rush California and its Diverse Population
Students compare contemporary cultural differences with historical differences based on population percentage. For this cross-curriculum Gold Rush/math lesson, students analyze aspects of California's Gold Rush population and diversity...
EngageNY
Understanding Variability When Estimating a Population Proportion
Estimate the proportion in a population using sampling. The 20th installment in a series of 25 introduces how to determine proportions of categorical data within a population. Groups take random samples from a bag of cubes to determine...
US Department of Commerce
Sample Means - Exploring Sampling Variability
Sample an excellent resource on sampling variability. Pupils analyze census data on the percentage of homes in each state that have Internet access. They take random samples of different sample sizes, determine the sample means, and then...
American Psychological Association
A Tasty Sample(r): Teaching about Sampling Using M&M’s
Here's a sweet activity! As part of a study of psychological research methods and statistic gathering, individuals develop a hypothesis about the number of each color of M&Ms in a fun-size package. They then count the number of each...
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...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations II
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...
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...
Willow Tree
Data Sampling
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.
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
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...
EngageNY
Selecting a Sample
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...
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...
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
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
Why Worry About Sampling Variability?
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.
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....
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target H
Not one but two box plots. How will your pupils fare? Assess their understanding of box plots by having them compare two populations. The eighth of nine installments in the Gr. 7 Claim 1 Item Slide Shows series, the resource has...
Curated OER
Graphing Data
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...
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,...
Curated OER
Mark, Recapture, Sampling
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...
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...
US Department of Commerce
Does the Percentage of People Who Walk to Work in Cities Vary with Population Size?
To walk or not to walk? Pupils create box plots comparing the percentage of residents who walk to work in large, medium, and small cities. Using the box plots, class members compare the data that reflects available statistics. Scholars...