Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of the data set.

Concepts

mean, averages, data analysis

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Additional Tags

math

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Instructional Ideas

• Lead a discussion on why one would calculate the harmonic mean

Classroom Considerations

• The class should be familiar with summation notation
• Individuals should know how to calculate the mean of a data set
• Requires users to set up a free CK-12 account

Pros

• The interactive shows the formula and automatically does the calculations for the user to see
• Provides hints for the challenge questions

Cons

• None

Common Core

6.SP.A.3 6.SP.B.5.a 6.SP.B.5.c 6.SP.B.5.d 7.SP.B.4 HSS-ID.A.2