To accurately compare the distributions from the box plots, we would need to analyze the data represented in them. However, based on the statements provided, here is how we can assess their validity:
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Cars with insurance always had a lower repair cost.
- This statement is likely too strong. Box plots show distributions, and while they can indicate trends, saying "always" is not justifiable without precise data.
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Most repairs for cars with insurance were less than $300.
- This may be true if the median of the insurance box plot is below $300, but without the actual plots, we can't confirm it.
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Cars without insurance were more likely to have a higher repair cost.
- This could be possible if the box plot for cars without insurance has a higher median or more high outliers compared to those with insurance.
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The mean repair cost for a car without insurance was greater than $500.
- This statement can be assessed if we know the data, or if the top and bottom of the box plot support this claim. A greater mean would typically show more high values or outliers in that distribution.
In summary: The statement that could be the best representative without exact data might be related to the trends in repair costs between insured and uninsured cars. Therefore, the choice would likely lean toward the statement about higher costs being associated with cars without insurance, as it suggests variability between the two distributions. However, confirming this requires further investigation of the box plots' specifics.