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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
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...
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...
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
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
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
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...
Illustrative Mathematics
Mr. Brigg's Class Likes Math
A quick discussion question that brings some collaboration into your classroom will allow your thinkers to make a decision about sampling. Mr. Briggs wants to know if the results from his class are a valuable comparison to the entire...
Curated OER
Random Sampling
In this random sampling worksheet, students compare data collected by a random sample to data collected by an actual count using pieces of paper with numbers written on them. They compare their data for the actual count to the random...
Illustrative Mathematics
Election Poll, Variation 1
Your class will learn what it means to take a random sample of a population and to draw inferences from the information gained. In part a, of the exercise, you discuss with your class how students during a class election can be best...
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...
Curated OER
Graphing Data
Seventh graders solve and graph 10 different problems that include various questions related to data on a graph. First, they create bar graphs to display the data given. Then, pupils determine the random sample of a population listing...
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...
Flipped Math
Sampling Methods
Pupils watch a video to learn about different types of sample design and how to use technology to create a random sample. They discover different types of bias that may happen due to the sampling design or the questions. Learners use...
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
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.
Willow Tree
Data Sampling
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.
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...
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,...
Illustrative Mathematics
Why Randomize?
Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...
Houghton Mifflin Harcourt
Random Samples: Estimating Population
With this estimating populations assignment, your class will learn about taking random population samples and calculating the average number of species in the samples to estimate the total population. Students use the given data to find...
Illustrative Mathematics
Robot Races
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson along with...
Curated OER
Surveys and Samples
In this surveys and samples worksheet, middle schoolers discover data collection techniques and write their own survey questions. Students use random sampling, convenience sampling, and systemic sampling and analyze their results.
Illustrative Mathematics
Block Scheduling
If a random sample determines that 45% of learners favor block scheduling, is it possible that the actual percentage might be 50% or 60%? In this task, learners use data from a computer-generated simulation to determine the plausibility...