Mathematics Vision Project
Module 9: Statistics
All disciplines use data! A seven-lesson unit teaches learners the basics of analyzing all types of data. The unit begins with a study of the shape of data displays and the analysis of a normal distribution. Later lessons discuss the...
101 Questions
Representative Sample
At what point does data switch from being an outlier to part of the average? Scholars view conflicting news articles about protesters. They must decide which, if any, side is using the correct sample to draw their conclusions. It's a...
American Psychological Association
Do Cookies/Donuts Improve Memory? Errors in Methodology
If the methodology is skewed, the results will be skewed. That's the takeaway from an exercise designed to get class members thinking about research methods and statistics gathering. Instructors manipulate the testing environment to...
American Psychological Association
Sampling or Assignment?
Each discipline has its own vocabulary, terms it uses to identify key concepts and processes. Sample, to psychologists, refers to those people (participants) a researcher is studying, while assignment refers to the treatment conditions...
Howard Hughes Medical Institute
Sampling and Normal Distribution
Young scientists learn about sampling and normal distributions through data analysis. A worksheet guides them to better understanding and synthesis of knowledge.
CK-12 Foundation
Sampling Distribution of a Sample Mean: The Mean of the Average Ages
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.
Education Development Center
Choosing Samples
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
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
Methods for Selecting a Random Sample
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...
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.
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...
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
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
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...
Virginia Department of Education
Organizing Topic: Data Analysis
Learners engage in six activities to lead them through the process of conducting a thorough analysis of data. Pupils work with calculating standard deviations and z-scores, finding the area under a normal curve, and sampling techniques....
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 5
Show learners how to use simulations and random sampling to reach conclusions with the last resource in a 25-part series. The assessment contains three scenarios, each with several parts, and covers comparing populations using random...
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
Estimating a Population Proportion
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,...
EngageNY
Sampling Variability and the Effect of Sample Size
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.
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...
Mathed Up!
Stratified Sampling
Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a worksheet of questions on this topic.
Statistics Education Web
It Creeps. It Crawls. Watch Out For The Blob!
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
NOAA
Community Ecology and Sampling
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...
Inside Mathematics
Snakes
Get a line on the snakes. The assessment task requires the class to determine the species of unknown snakes based upon collected data. Individuals analyze two scatter plots and determine the most likely species for five additional data...