AP Test Prep
College Board

Sampling Distributions

For Teachers 10th - 12th Standards
The validity of data depends on the strength of the sample. A collection of instruction and activities focuses on sampling distributions and the analysis of that data. Scholars learn about distribution tests such and Central Limit...
Interactive
CK-12 Foundation

Sampling Distribution of a Sample Mean: The Mean of the Average Ages

For Students 9th - 12th
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
Activity
American Psychological Association

A Tasty Sample(r): Teaching about Sampling Using M&M’s

For Students 9th - 12th Standards
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...
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...
Interactive
Howard Hughes Medical Institute

Sampling and Normal Distribution

For Students 9th - 12th Standards
Young scientists learn about sampling and normal distributions through data analysis. A worksheet guides them to better understanding and synthesis of knowledge.
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...
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
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
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....
Interactive
CK-12 Foundation

Normal Approximation of the Binomials Distribution: When to Approximate

For Students 9th - 12th
Normalizing a binomial distribution — determine when it is all right. Given the rule of thumb of when it is appropriate to use the normal distribution to approximate a binomial distribution, pupils look at different scenarios....
Activity
US Department of Commerce

Exploring Sampling Variability - Higher Education Attainment Across The United States

For Teachers 6th - 7th Standards
More education in statistics is always beneficial. Given cards that provide the proportion of adults with bachelor's degrees in 10 random US states, scholars individually determine the sample percentage of states in which more than 30...
Activity
US Department of Commerce

Over the Hill - Aging on a Normal Curve

For Teachers 11th - 12th Standards
Nobody is too old to learn something new. Young statisticians analyze census data on the percentage of the population older than 65 years old in US counties. They fit a normal distribution to the data, determine the mean and standard...
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...
Lesson Plan
EngageNY

Sampling Variability in the Sample Proportion (part 2)

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...
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.
Lesson Plan
Curated OER

Sampling Distributions

For Teachers 9th - 11th
Students analyze sampling from different population. In this statistics lesson plan, students define the meaning of sample sizes and what causes an increase or decrease. They graph their data on the Ti calculator and draw conclusion from...
Lesson Plan
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NOAA

Community Ecology and Sampling

For Teachers 6th - 12th Standards
Seamounts in the Coral and Tasman Seas are home to more than 850 different species. Groups explore hydrothermal vents, researching the organisms found there and their energy source. They also learn about seamounts, exploring their unique...
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...
Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target D

For Teachers 8th Standards
Can learners determine solutions associated with lines? A slide presentation contains sample items for the Smarter Balanced 8th grade math Target D covering solving linear equations and systems of linear equations. Items illustrate the...
Lesson Plan
EngageNY

Measuring Variability for Skewed Distributions (Interquartile Range)

For Teachers 9th - 10th Standards
Should the standard deviation be used for all distributions? Pupils know that the median is a better description of the center for skewed distributions; therefore, they will need a variability measure about the median for those...
Lesson Plan
EngageNY

Comparing Distributions

For Teachers 9th - 10th Standards
Data distributions can be compared in terms of center, variability, and shape. Two exploratory challenges present data in two different displays to compare. The displays of histograms and box plots require different comparisons based...
Lesson Plan
EngageNY

Estimating Probability Distributions Empirically 2

For Teachers 11th - 12th Standards
Develop probability distributions from simulations. Young mathematicians use simulations to collect data. They use the data to draw graphs of probability distributions for the random variable in question.
Assessment
1
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CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Claim 3

For Teachers 8th Standards
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to...
Activity
US Department of Commerce

How Are Single-Parent Households Distributed Across the United States?

For Teachers 7th Standards
There sure are a lot of single-parent households in the country. After selecting one of four US regions to investigate, pupils create dot plots and box plots on the percentage of single-parent households with male parents and female...