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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...
EngageNY
Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...
Shodor Education Foundation
Measures
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,...
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.
Mathematics Assessment Project
Mean, Median, Mode, and Range
What a find! Here is a lesson, designed to meet sixth grade math Common Core standards, that focuses on the calculation of different measures of center for the scores from a penalty shoot-out competition. An independent...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations II
The 23rd segment in a series of 25 presents random samples from two populations to determine whether there is a difference. Groups determine whether they believe there is a difference between the two populations and later use an...
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...
EngageNY
Describing Variability Using the Interquartile Range (IQR)
The 13th lesson in a unit of 22 introduces the concept of the interquartile range (IQR). Class members learn to determine the interquartile range, interpret within the context of the data, and finish by finding the IQR using an...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
Teach Engineering
Creepy Silly Putty
It might be silly to determine the creep rate of putty but groups will enjoy making different formulations of silly putty and playing with them to understand how the different mixtures behave. The second part of the activity has groups...
EngageNY
Comparing Distributions
Data distributions can be compared in terms of center, variability, and shape. Two exploratory challenges present data in two different displays to compare. The displays of histograms and box plots require different comparisons based...
Teach Engineering
Preconditioning Balloons: Viscoelastic Biomedical Experiments
What does stretching a balloon have to do with equilibrium? Groups explore preconditioning by stretching a balloon to a point of equilibrium. They then measure the amount of force required to stretch the balloon to the same point several...
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...
Curated OER
Mean and Standard Deviation
Get two activities with one lesson. The first lesson, is appropriate for grades 6-12 and takes about 20 minutes. It introduces the concept of measures of central tendency, primarily the mean, and discusses its uses as well as its...
EngageNY
Describing Distributions Using the Mean and MAD
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson in the 22-part series asks learners to...
EngageNY
Understanding Box Plots
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries.
EngageNY
Describing Distributions Using the Mean and MAD II
The 11th instructional activity in the series of 22 is similar to the preceding instructional activity, but requires scholars to compare distributions using the mean and mean absolute deviation. Pupils use the information to make a...
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...
West Contra Costa Unified School District
Comparing Data Displays
There is so much more to data than just numbers, and this resource has learners use three methods of comparing data in a multi-faceted activity. The 21-page packet includes a warm-up, examples, an activity, and assessment for a...
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...
Statistics Education Web
Text Messaging is Time Consuming! What Gives?
The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...
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...
Illustrative Mathematics
Offensive Linemen
Comparing college football teams, Division I is said to have heavier lineman than Division III. Your mathematicians are given data from two different divisions and will have to interpret a dotplot and calculate the difference in weight...
American Statistical Association
Bubble Trouble!
Which fluids make the best bubbles? Pupils experiment with multiple fluids to determine which allows for the largest bubbles before popping. They gather data, analyze it in multiple ways, and answer analysis questions proving they...