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Understanding Interpolation and Extrapolation in Data Analysis

This lab activity examines the concepts of interpolation and extrapolation in data analysis. Students will study how to determine the number of pennies in a sealed container using their understanding of mass and graphing techniques. The exercise involves making estimations based on provided data points, and students will need to answer follow-up questions, seeking help as needed. Additionally, a bonus question provides an opportunity for extra credit by exploring extrapolated data points that extend beyond the known range.

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Understanding Interpolation and Extrapolation in Data Analysis

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  1. 1/24 • Compare and contrast the terms interpolate and extrapolate (in preparation for lab) • Penny Lab • Use your knowledge of mass and graphing to determine how many pennies are in a sealed container • Using your best effort, answer the follow-up questions • Ask for help on a questions when needed • Bonus question = extra credit

  2. Extrapolated • The extrapolated point is one that lies outside the known data range and is shown by using a dotted line to extend your line.

  3. Interpolated • An interpolated point is one that lies within the known data range but was not measured. • Knowing one of the two values allows you to interpolate the other value by following across (or up) to your line and then down (or across) to your unknown data.

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