Questions: The 5-number summary is 3, 5.05, .58, and 10. (Use ascending order. Type integers or decimals. Do not round.)

The 5-number summary is 3, 5.05, .58, and 10. (Use ascending order. Type integers or decimals. Do not round.)
Transcript text: The 5 -number summary is $3,5.05 .58$ and 10 . (Use ascending order. Type integers or decimals. Do not round.)
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Solution

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Solution Steps

Step 1: Understand the 5-number summary

The 5-number summary provided is:

  • Minimum: 3
  • First Quartile (Q1): 5.0
  • Median (Q2): 5.5
  • Third Quartile (Q3): 8
  • Maximum: 10
Step 2: Analyze the boxplot options

We need to identify the boxplot that correctly represents the given 5-number summary. The boxplot should have:

  • The left whisker starting at 3
  • The left edge of the box at 5.0
  • The line inside the box at 5.5
  • The right edge of the box at 8
  • The right whisker ending at 10
Step 3: Compare the boxplots to the 5-number summary
  • Option A: The boxplot does not match the given 5-number summary.
  • Option B: The boxplot matches the given 5-number summary.
  • Option C: The boxplot does not match the given 5-number summary.
  • Option D: The boxplot does not match the given 5-number summary.

Final Answer

The correct boxplot that represents the data is Option B.

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