Questions: The boxplots below display annual incomes (in thousands of dollars) of households in two cities. Which city has greater variability in income?

The boxplots below display annual incomes (in thousands of dollars) of households in two cities. Which city has greater variability in income?
Transcript text: The boxplots below display annual incomes (in thousands of dollars) of households in two cities. Which city has greater variability in income?
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks which city has greater variability in income based on the provided boxplots.

Step 2: Analyze the Boxplots
  • The boxplot for Statstown shows a wider range from the minimum to the maximum values compared to Mediaville.
  • The interquartile range (IQR), which is the distance between the first quartile (Q1) and the third quartile (Q3), is also larger for Statstown.
Step 3: Compare the Variability
  • Greater variability in income is indicated by a larger range and IQR.
  • Statstown has both a larger range and a larger IQR compared to Mediaville.

Final Answer

Statstown has greater variability in income.

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