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
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...
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 inferences...
American Statistical Association
How Random Is the iPod’s Shuffle?
Shuffle the resource into your lesson plan repertoire. Scholars use randomly-generated iPod Shuffle playlists to develop ideas about randomness. They use a new set of playlists to confirm their ideas, and then decide whether the iPod...
Curated OER
Estimating the Mean State Area
Seventh grade statisticians randomly select five states and then determine the mean area. The class then works together to create a dot plot of their results.
Curated OER
Statistics
Seventh and eighth graders solve and complete three various types of problems. First, they find the median rate using the box-and-whisker plot shown. Then, learners describe the inter-quartile range. In addition, they determine whether...
Curated OER
Random Statistics
Seventh and eighth graders solve and complete 20 various types of short answer problems. First, they write a brief description of themselves including those as stated. Then, learners categorize the type of sampling used in various...
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...
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
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...
Mathematics Assessment Project
Statistics and Probability
Quickly assess basic understandings of statistics and probability. The resource contains five quick tasks from the probability and statistics domain. The questions range from finding simple conditional probabilities to measures of center...
Achieve
False Positives
The test may say you have cancer, but sometimes the test is wrong. The provided task asks learners to analyze cancer statistics for a fictitious town. Given the rate of false positives, they interpret the meaning of this value in the...
National Security Agency
It's Probably Probable
Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach all learning...
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...
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,...
American Statistical Association
Happy Birthday to . . . Two?
How many people do you need in a room before two likely share the same birthday? Scholars consider this puzzle by analyzing a set of data. They ponder how to divide the data and determine the proper size of a group for this event to...
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.
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...
Bowland
Soft Drinks
"Statistics are no substitute for judgment" - Henry Clay. Young mathematicians use provided statistics from a soda taste test to explain why conclusions are faulty. They devise a new test that would be more appropriate than the one given.
Curated OER
The Statistics Sampler
Students define sample, describe a random sample, and discuss what compromises a sample. They determine a sample size to estimate a population characteristic with confidence.
Curated OER
Boxing Up
Middle schoolers explore the relationship between theoretical and experimental probabilities. They use a box model to enter data provided and to randomly draw tickets from the box. Pupils click on any bar in a chart to display the...
Curated OER
Surveys and Sampling Methods
Math whizzes select the statement that best describes the type of sampling being described. Each of the five problems describes a situation and students are presented with options options. An interactive hint button is provided for each...
Curated OER
Simulation and Statistics
Students perform simulation of video games as they explore statistics. In this algebra lesson, students relate concepts of statistics and data collection to solve problems. They decide their next step based on the previous assessment of...
Curated OER
How Many?
Middle schoolers explore and design ways to collect data through simulations and random samples. They perform two experiments to determine the answers to various probability problems, and present the data/graphs in the form of a...