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...

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...

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...

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,...

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...

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...

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...

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...

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...

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...

Don't leave learning to chance! Assess your class's understanding of random sampling and making inferences using questions from the experts at Smarter Balanced. As the seventh of nine parts in the Gr. 7 Claim 1 Item Slide Shows...

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. 

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.

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.

When more basketball players are taller than field hockey players at a school, is it safe to say that in general they are always taller? The activity takes data from two college teams and your learners will be able to answer questions...

What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....

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...

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...

Are your classes ready for their final exams? Give them a test run with the 2018 AP® exam. The resource provides the six free-response questions covering topics such as confidence intervals, population proportions, and least-squares...

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 plan along...

If a random sample determines that 45% of students 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...

So that is how they do it! Pupils and teachers see how College Board assesses topics using the free-response questions from Form B of the 2007 AP® Statistics test. The six questions are divided in two sections, the first five being...

There is often more to data than meets the eye. Scholars learn that they need to analyze data before making conclusions as they look at data that describes the number of candy bars boys and girls eat. They disprove a given conclusion and...

Reduce testing anxiety by helping learners prepare for test day. Scholars complete six free-response questions from a released AP® exam. The questions test a variety of concepts including confidence intervals, frequency tables,...