EngageNY
Interpreting the Standard Deviation
Does standard deviation work for non-symmetrical distributions, and what does it mean? Through the use of examples, high schoolers determine the standard deviation of a variety of distributions and interpret its meaning. Problems require...
EngageNY
Summarizing Deviations from the Mean
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an estimate round...
EngageNY
Measuring Variability for Symmetrical Distributions
How do we measure the deviation of data points from the mean? An enriching activity walks your class through the steps to calculate the standard deviation. Guiding questions connect the steps to the context, so the process is not about...
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 2)
A mid-module assessment uses two multi-part questions to measure progress toward mastery on descriptive statistics standards. Each part of a question addresses a single standard to help determine mastery.
EngageNY
Measuring Variability for Skewed Distributions (Interquartile Range)
Should the standard deviation be used for all distributions? Pupils know that the median is a better description of the center for skewed distributions; therefore, they will need a variability measure about the median for those...
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...
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 absolute...
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...
Illustrative Mathematics
SAT Scores
If you earned a score of 610 on the math portion of the SAT, what would be your percentile ranking? Given the mean and standard deviation of normally distributed data, find the probability of getting a particular score, or that your...
Illustrative Mathematics
Do You Fit In This Car?
A short activity that focuses on the normal distribution as a model for data distribution. Using given means and standard deviations, your budding statisticians can use statistical tables, calculators, or other statistical software to...
Illustrative Mathematics
Accuracy of Carbon 14 Dating I
Here is an activity that is intended to highlight a very important issue about precision in reporting and understanding statements in a realistic scientific context. Discuss different ways of reporting the half life of Carbon 14 using...
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...
College Board
2012 AP® Statistics Free-Response Questions
There's no better way to prepare your class for the AP® test format than previous exams. Instructors and scholars use the 2012 AP® Statistics free-response questions to familiarize themselves with the test. Topics covered in the exam...
College Board
2010 AP® Statistics Free-Response Questions
Familiarity with the AP® exam is highly beneficial for test-takers. Scholars use the 2010 AP® Statistics free-response questions familiarize themselves with the test content and format. Studies and experiments, linear regression,...
College Board
2018 AP® Statistics Free-Response Questions
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...
College Board
2007 AP® Statistics Free-Response Questions
Knowing the questions ahead of time should be beneficial. Free-response questions released from the 2007 AP® Statistics tests provide teachers and pupils insight into the types of questions on the exam. The six open-ended questions show...
College Board
2002 AP® Statistics Free-Response Questions
Statistically, prepared classes perform better. Teachers and pupils use the released 2002 AP® Statistics Free-Response questions to gain an understanding of how questions may be worded on the exam. Resources request that teachers put an...
College Board
1998 AP® Statistics Free-Response Questions
Free-response questions form the 1998 AP® Statistics exam allow class members to analyze data from real-life situations. The situations include tracking defective parts, tracking butterflies, evaluating weed killers and determining...
College Board
2006 AP® Statistics Free-Response Questions Form B
Test a significant review of statistical questions. The resource provides pupils and teachers with insight into the way the exam assesses statistical concepts. Half of the released questions from the 2006 AP® Statistics Form B questions...
College Board
2004 AP® Statistics Free-Response Questions Form B
Over the years, data analysis has been important. Looking back to the 2004 AP® Statistics Form B free-response questions, pupils and teachers see the importance of analysis of data sets. The six questions contain analysis of data on...
College Board
2005 AP® Statistics Free-Response Questions Form B
Here's another great way to learn from the past. Released free-response questions provide a look into how concepts measured on the 2005 AP® Statistics Exam on Form B. Teachers and pupils review questions that cover concepts such as...
College Board
2007 AP® Statistics Free-Response Questions Form B
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 more...
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