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Averages: Still Flawed
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This learning video continues the theme of an early BLOSSOMS lesson, Flaws of Averages, using new examples—including how all the children from Lake Wobegon can be above average, as well as the Friendship Paradox. As mentioned in the original module, averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, once again, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. Most students at any level in high school can understand the concept of the flaws of averages presented here. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. Materials needed include: pen and paper for the students; a blackboard or equivalent; and coins (one per student) or something similar that students can repeatedly use to create a random event with equal chances of the two outcomes (e.g. flipping a fair coin). The coins or something similar are recommended for one of the classroom activities, which will demonstrate the idea of regression toward the mean. Another activity will have the students create groups to show how the average number of friends of friends is greater than or equal to the average number of friends in a group, which is known as The Friendship Paradox. The lesson is designed for a typical 50-minute class session.

Subject:
Mathematics
Material Type:
Lecture
Provider:
M.I.T.
Provider Set:
MIT Blossoms
Author:
Dan Livengood, Rhonda Jordan
Date Added:
12/10/2020
Data Nuggets: Beetle its cold outside!
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"Does the amount of time lady beetles spend at freezing temperatures affect how long it takes for them to wake up from a chill coma?" Use this data nugget and your graphing skills to determine a solution.

Subject:
Mathematics
Material Type:
Activity/Lab
Data Set
Lesson Plan
Provider:
Data Nuggets
Author:
Data Nuggets
Date Added:
10/24/2022
Data Nuggets: Growing energy
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Copyright Restricted
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Study the data to answer the question, "Are any perennial crops a good alternative to corn for biofuel production, and if so, why? How does the location of biomass production affect the outcome?"

Subject:
Mathematics
Material Type:
Activity/Lab
Data Set
Lesson Plan
Provider:
Data Nuggets
Author:
Data Nuggets
Date Added:
10/24/2022
Data Nuggets: Invasive Reeds in the Salt Marsh
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Copyright Restricted
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"How did replacing the narrow culverts with wider culverts change the growth of Phragmites in the marsh?" Use this data to find a solution to this question and see statistics in action.

Subject:
Mathematics
Material Type:
Activity/Lab
Data Set
Lesson Plan
Provider:
Data Nuggets
Author:
Data Nuggets
Date Added:
10/24/2022