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Activity
Regents Prep

Activity to Show Sample Population and Bias

For Teachers 7th - 9th Standards
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...
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Lesson Plan
EngageNY

Sampling Variability in the Sample Mean (part 1)

For Students 10th - 12th Standards
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.
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Lesson Plan
Curated OER

Gold Rush California and its Diverse Population

For Teachers 5th - 12th
Students compare contemporary cultural differences with historical differences based on population percentage. In this cross-curriculum Gold Rush/math lesson plan, students analyze aspects of California's Gold Rush population and...
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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...
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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 inferences...
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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...
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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...
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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...
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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...
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Activity
US Department of Commerce

Sample Means - Exploring Sampling Variability

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

Populations Lab - Cultures Lesson: Statistics / Sampling Patterns

For Teachers 9th
Ninth graders examine the application of statistical sampling, data collection, analysis, and representation that exists in schooling and teenage lifestyles in Japan and the United States.
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Lesson Plan
Education World

The African American Population in US History

For Teachers 3rd - 12th
How has the African American population changed over the years? Learners use charts, statistical data, and maps to see how populations in African American communities have changed since the 1860s. Activity modifications are included to...
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Lesson Plan
EngageNY

Populations, Samples, and Generalizing from a Sample to a Population

For Teachers 7th Standards
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...
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Lesson Plan
EngageNY

Using Sample Data to Estimate a Population Characteristic

For Students 10th - 12th Standards
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 plan explores the meaning of a population versus a sample and how to interpret...
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Lesson Plan
EngageNY

Sampling Variability in the Sample Mean (part 2)

For Students 10th - 12th Standards
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...
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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...
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Lesson Plan
EngageNY

Estimating a Population Proportion

For Teachers 7th Standards
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,...
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Lesson Plan
EngageNY

Understanding Variability When Estimating a Population Proportion

For Teachers 7th Standards
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...
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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.
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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...
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Lesson Plan
EngageNY

Sampling Variability in the Sample Proportion (part 1)

For Students 10th - 12th Standards
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...
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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.
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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.

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