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AP Test Prep
College Board

2013 AP® Statistics Free-Response Questions

For Students 10th - 12th Standards
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,...
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AP Test Prep
College Board

2018 AP® Statistics Free-Response Questions

For Students 10th - 12th Standards
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...
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AP Test Prep
College Board

Why Variances Add - And Why It Matters

For Students 10th - 12th Standards
Why is adding variance important? A lesson outline defines a variance theorem and how it affects the data statistics. The instruction shows scholars the importance of considering the variance of data and why it requires independence.
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Interactive
NOAA

Investigating Sea Level Using Real Data

For Students 6th - 8th Standards
The news reports on rising sea level, but how do scientists measure this rise? Scholars use NOAA data including maps, apps, and images to work through five levels of activities related to sea level. Each level in the series adds a new...
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Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target P

For Students 9th - 12th Standards
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...
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Unit Plan
Mathematics Vision Project

Module 9: Statistics

For Students 10th - 12th Standards
All disciplines use data! A seven-lesson unit teaches learners the basics of analyzing all types of data. The unit begins with a study of the shape of data displays and the analysis of a normal distribution. Later lessons discuss the...
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Lesson Plan
American Statistical Association

Tell it Like it is!

For Teachers 6th - 8th Standards
Scholars apply prior knowledge of statistics to write a conclusion. They summarize using correct academic language and tell the story of the data.
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Lesson Plan
American Statistical Association

Step into Statastics

For Teachers 6th - 8th Standards
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...
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Lesson Plan
American Statistical Association

Bear Hugs

For Teachers 6th - 8th Standards
Scholars research arm span to determine who gives the best bear hugs. They use data from a national study to find the standard statistics for arm span. It includes mean, median, quartiles, spread, standard deviation, and more.
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Lesson Plan
American Statistical Association

Armspans

For Teachers 6th - 8th Standards
Young mathematicians collect data on the arm spans of classmates. Then they sort the data by measures of center, spread, and standard deviation. Finally, they compare groups, such as boys and girls, to interpret any differences. 
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Activity
101 Questions

Class Height Distribution

For Students 9th - 12th Standards
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...
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Interactive
Howard Hughes Medical Institute

Sampling and Normal Distribution

For Students 9th - 12th Standards
Young scientists learn about sampling and normal distributions through data analysis. A worksheet guides them to better understanding and synthesis of knowledge.
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Activity
Howard Hughes Medical Institute

Spreadsheet Tutorial 3: Column Graphs, Error Bars, and Standard Error of the Mean

For Students 9th - 12th
There's absolutely no error in using the tutorial! Learners use spreadsheets to create column or bar graphs with error bars. They also learn how to calculate the standard error of the mean in the tutorial. This is the third installment...
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Activity
Howard Hughes Medical Institute

Spreadsheet Tutorial 2: Autofill Data, Cell References, and Standard Deviation

For Students 9th - 12th
If you've always wanted to know more about spreadsheets, here's a perfect resource for you. A self-paced tutorial introduces how to autofill and copy formulas in a Google sheet or Excel spreadsheet. It also shows users how to find range,...
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Interactive
Shodor Education Foundation

Skew Distribution

For Students 6th - 12th Standards
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. 
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Interactive
Shodor Education Foundation

Measures

For Students 6th - 12th Standards
Take a look at data from a statistical lens. An interactive allows pupils to enter data set, labeling the data including the units used. Manipulating the applet, learners select the statistics to calculate that include total, mean,...
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Interactive
Shodor Education Foundation

Normal Distribution

For Students 6th - 12th Standards
Does the size of the bin matter? The resource allows pupils to explore the relationship between the normal curve and histograms. Learners view histograms compared to a normal curve with a set standard deviation. Using the interactive,...
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Interactive
Shodor Education Foundation

Overlapping Gaussians

For Students 9th - 12th Standards
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...
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Interactive
CK-12 Foundation

Sampling Distribution of a Sample Mean: The Mean of the Average Ages

For Students 9th - 12th
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
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Interactive
CK-12 Foundation

Variance of a Data Set

For Students 9th - 12th Standards
Use variable value sliders to understand variance. The interactive shows four whole numbers, their mean and deviation. Using the information, pupils find the variance of the numbers and respond to question related to the understanding of...
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Interactive
CK-12 Foundation

Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety

For Students 9th - 12th Standards
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule, then...
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Activity
Education Development Center

Interpreting Statistical Measures—Class Scores

For Students 9th - 12th Standards
Explore the effect of outliers through an analysis of mean, median, and standard deviation. Your classes examine and compare these measures for two groups. They must make sense of a group that has a higher mean but lower median compared...
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Lesson Plan
Virginia Department of Education

Organizing Topic: Data Analysis

For Teachers 10th - 12th Standards
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 techniques....
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Lesson Plan
Virginia Department of Education

Calculating Measures of Dispersion

For Teachers 10th - 12th Standards
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...