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EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
College Board
2013 AP® Statistics Free-Response Questions
AP® exams don't need to be shrouded in mystery. The 2013 AP® Statistics free-response questions are available for instructors to reference. It includes questions on mean, standard deviation, normal distribution, confidence intervals,...
College Board
2011 AP® Statistics Free-Response Questions
Familiarize yourself with the AP® exam by looking at past tests. A PDF file provides the 2011 AP® Statistics free-response questions. The questions include topics such as mean, standard deviation, conditional probability, sampling...
Radford University
The Normal Distribution Activity
For whom does the bell fit? Pupils begin by working in groups gather data on three different variables. They then determine the mean and standard deviation of each data set and create bell curves. To finish, they answer guiding questions...
Radford University
Data Analysis Activity
What do classmates think? In groups, learners design surveys to investigate chosen topics. They conduct the survey, then analyze the results. As part of the activity, they must calculate the mean, median, mode, variance, and standard...
Radford University
Analyzing Data from Peer Survey
We all want to know what we're thinking. Scholars analyze and report data collected in a previous survey on peer attitudes toward current events. They calculate the mean, median, range, and standard deviation before creating histograms...
Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
EngageNY
The Mean Absolute Deviation (MAD)
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean...
Shodor Education Foundation
Skew Distribution
Slide the class into a skewed view. Learners alter the location of the median relative to the mean of a normal curve to create a skew distribution. They compare the curve to a histogram distribution with the same skewness.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target P
Learn how to show data in varied ways. A PowerPoint presentation provides six questions from the high school SBAC Claim 1 Target P item specifications. It covers creating data representations, interpreting and comparing data, and...
Curated OER
Measuring Dispersion
Learners compute the standard deviation for a given set of data. In this measuring dispersion lesson plan, students compute the mean, and then the distance from the mean for each data point. They find the standard deviation of the data.
Curated OER
Describing Data
Your learners will practice many ways of describing data using coordinate algebra in this unit written to address many Common Core State Standards. Simple examples of different ways to organize data are shared and then practice problems...
Shodor Education Foundation
Overlapping Gaussians
Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...
Curated OER
Random Probability
In this statistics and probability worksheet, young statisticians solve and complete 13 different problems related to probability, percentages, and normal distributions. They consider data models, assumptions about the models, and find...
Georgia Department of Education
Math Class
Young analysts use real (provided) data from a class's test scores to practice using statistical tools. Not only do learners calculate measures of center and spread (including mean, median, deviation, and IQ range), but...
101 Questions
Class Height Distribution
A picture is worth a thousand words, and this is no exception! The introductory photo shows a group of classmates lined up in height categories; females and males are in different colors, and the shape of the curve they create is...
Radford University
Are We Normal?
Develop a sense of normal. Learners develop two questions to ask classmates to gather numerical data before creating a box and whisker plot and a histogram to display their data. Class members make inferences and investigate the data...
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.
College Board
2001 AP® Statistics Free-Response Questions
Develop a complete understanding of the course. Pupils and teachers use the six free-response questions to gather information about aspects of the AP® Statistics course. The resource and test section show how items cover the content. A...
Illustrative Mathematics
Should We Send Out a Certificate?
Fred thinks his test score is high enough to earn him a certificate. Given the mean and standard deviation, use properties of normal distributions to calculate Fred's percentile ranking and see if he is right. Consider having your class...
American Statistical Association
Step into Statastics
Class members study the size of classmates' feet and perform a statistical analysis of their data. They solve for central tendencies, quartiles, and spread for the entire group as well as subgroups. They then write a conclusion based on...
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
American Statistical Association
What is the Probability of “Pigging Out”
Learners apply their understanding of luck to a probability experiment. They play a game of Pass the Pigs to determine the probability of a specific outcome. Using analysis for their data, pupils declare the measures of center, dot...
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...