CK-12 Foundation
Coefficient of Variation: Diverse Populations
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
Florida International University
Counting FishStix
How do we count the fish in the ocean? An engaging lesson models how to estimate fish populations with observational surveys. Class members begin by studying the behavior of fish on the coral reef in the oceans. They then become the fish...
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
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...
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...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
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...
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,...
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
Margin of Error When Estimating a Population Proportion (part 1)
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
EngageNY
Sampling Variability in the Sample Proportion (part 2)
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...
EngageNY
Sampling Variability in the Sample Proportion (part 1)
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...
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...
EngageNY
Margin of Error When Estimating a Population Mean (part 2)
Don't leave your classes vulnerable in their calculations! Help them understand the importance of calculating a margin of error to represent the variability in their sample mean.
EngageNY
Margin of Error When Estimating a Population Mean (part 1)
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
EngageNY
Sampling Variability in the Sample Mean (part 2)
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...