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...
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...
Curated OER
Analytical Problem Solving
High schoolers explore about propagation of error in calculations using experimental data. They develop their weighing and pipetting techniques. Students explore the following terms: Standard deviation and relative standard deviatin....
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...
Virginia Department of Education
Calculating Measures of Dispersion
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...
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...
American Statistical Association
Bear Hugs
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.
Curated OER
Hydrogen Peroxide Analysis
A scenario is presented for chemistry techs to address. Using titration techniques, they must analyze hydrogen peroxide solution samples. They evaluate accuracy and precision in the process. They also gain experience consulting the MSDS...
Curated OER
Human Face of Mathematics - Mathematics in Aboriginal Culture
Students collect statistical data. In groups, students play a dart game and then determine the distance between darts. They collect the data and plot the information on a coordinate plane. They identify the mean and the...
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...
EngageNY
Distributions—Center, Shape, and Spread
Data starts to tell a story when it takes shape. Learners describe skewed and symmetric data. They then use the graphs to estimate mean and standard deviation.
American Statistical Association
Armspans
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.
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...
Curated OER
Measuring Dispersion
Students 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.
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.
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...
Curated OER
Basic Stats
In this chemistry worksheet, young scholars focus upon the concepts of mean and standard deviation and how it is used in the laboratory to interpret data.
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...
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.
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...
Curated OER
Statistical Process Control
Students brainstorm items they have that use memory and view Statistical Process Control PowerPoint presentation. They complete Statistical Process Control Simulation/experiment then find the average, range and standard deviation in...
Florida International University
Counting FishStix
How do we count the fish in the ocean? An engaging instructional activity models how to estimate fish populations with observational surveys. Class members begin by studying the behavior of fish on the coral reef in the oceans....
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