Back to Define appropriate quantities — Problem 3 · Task Set 5

Exercises: Define Appropriate Quantities for the Purpose of Descriptive Modeling

Work through each section in order. For explanation problems, write in complete sentences. There is often more than one defensible answer — focus on justifying your choice clearly.

Grade 9·22 problems·~45 min·Common Core Math - HS Number and Quantity·standard·hsn-q-a-2

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Fluency Practice

A town of 10 people has 9 residents earning $30,000 each and 1 resident earning $1,000,000. What is the per-capita income, and what does this illustrate?

Per-capita income = $127,000. This is a reliable picture of what a typical resident earns.

Per-capita income = $127,000. This illustrates that per-capita income is not the same as "typical" or "median" income — the one high earner pulls the average far above what 9 of 10 residents earn.

Per-capita income = $30,000. Per-capita means the most common value.

Per-capita income cannot be computed here because income is unequal.