Virginia Department of Education
z-Scores
Just how far away from the mean is the data point? Pupils calculate the standard deviation for a set of data and find out how many standard deviations a point is away from the mean. The teacher leads a discussion on how to calculate...
Curated OER
Z-Scores related to Psychology
In this z-score learning exercise, students identify the z-scores and percentiles corresponding to thirteen values. Students are also asked to find two probabilities. Worked solutions are provided after each question.
Curated OER
Z-Scores
Learners solve problems by identifying the percent of area under the curve. In this statistics lesson, students discuss z-scores as they calculate the different percentages under the bell curve. They calculate the standard deviation.
Virginia Department of Education
Organizing Topic: Data Analysis
Learners engage in six activities to lead them through the process of conducting a thorough analysis of data. Pupils work with calculating standard deviations and z-scores, finding the area under a normal curve, and sampling...
Radford University
Big Future - How SAT Scores Play a Role in College Acceptance
Understanding the importance of SAT scores is as easy as ABC. A set of three statistics lessons teaches scholars about normal distributions, the Empirical Rule, and z-scores. They apply their newfound knowledge to investigate data...
EngageNY
Normal Distributions (part 1)
Don't allow your pupils to become outliers! As learners examine normal distributions by calculating z-scores, they compare outcomes by analyzing the z-scores for each.
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
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...
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...
Mathematics Vision Project
Module 8: Statistics
What does it mean to be normal in the world of statistics? Pupils first explore the meaning of a normal distribution in the eight-lesson module. They then apply the statistics related to normal distributions such as mean, standard...
Curated OER
Two-sided Confidence Interval for a Population Proportion
In this two-sided confidence interval worksheet, students solve 3 problems to include constructing a confidence interval for a population proportion with a large sample. First, they split the confidence and shad its cumulative are for a...
Curated OER
Normal Curve Areas
In this normal curve areas worksheet, students follow 6 steps to compute probability regarding possible sample means using a large sample. First, they label the scale with the mean and corresponding standard deviations. Then, students...
Curated OER
Normal Curve Areas - Population
In this normal curve areas worksheet, students follow 6 steps to compute the probability regarding the values from the population. First, they label x-scale with the mean and corresponding standard deviations and shade the area(s) under...
Curated OER
Normal Curve Areas
In this normal curve areas activity, students follow 6 steps to compute the probability regarding the possible sample of proportions using a large sample population. First, they label the Ps-scale with the proportion and corresponding...
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
College Board
2016 AP® Statistics Free-Response Questions
Test your classes on their knowledge of advanced statistic concepts. Young math scholars get a sneak peek at the end of course AP® statistics exam with the released items from the 2016 test. The six-question free response exam addresses...
Radford University
Are Kitchen Cabinets at the Correct Height? Lessons 1-5
Here's a not-so-normal unit on normal heights. Future statisticians anonymously collect class data on female heights, weights, and shoe sizes. They then analyze the data using normal distributions, z-scores, percentiles, and the...
Radford University
What Is Normal?
Are you taller than a Major League Baseball player? Future mathematicians learn about normal distributions, percentiles, z-scores, and areas under a normal curve. They use the concepts to analyze height data of Major League Baseball...
Pearson
Performance Based Assessment Practice Test (Algebra II)
A full-length practice test like this one, especially one that includes a number of open response questions, is a phenomenal tool in a class as rigorous as algebra 2. Here the learners can really get that hands-on experience...
Curated OER
Practice Problems: Standard Scores
In this standard scores worksheet, students find the percentile rank of given numbers. This one-page worksheet contains 8 problems. Answers are provided.
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...
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...
College Board
2011 AP® Statistics Free-Response Questions Form B
Is the sequel better than the original? The 2011 AP® Statistics free-response questions, Form B, is available for instructors to reference. Among the topics covered in the exam are histograms, distributions, studies and experiments,...
Radford University
What is My Standing Height Wise?
Given a scenario in which a class member wants to prove his height is not an outlier, pairs devise a plan and gather evidence to help support his claim. The small groups implement their plans and create graphical displays of their data...
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