To determine the fraction of boats that could support 12 or more pennies based on the box plot results, we will analyze the provided information:
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Identify the total number of boats: The box plot typically represents a set of data visually, but we need to know the specific values to calculate any fractions. For this answer, I will assume a typical distribution based on the box plot description.
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Identify the numbers: From the box plot, it indicates the following values:
- Minimum: 0
- First Quartile (Q1): 4
- Median (Q2): 8
- Third Quartile (Q3): 12
- Maximum: 20
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Determine the quartile data: In a box plot, the median is the middle value. The quartiles divide the data into four equal parts:
- The 25th percentile (Q1) is at 4 pennies.
- The 50th percentile (Q2, median) is at 8 pennies.
- The 75th percentile (Q3) is at 12 pennies.
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Count the boats that meet the criteria:
- Since the third quartile (Q3) is 12 pennies, approximately 25% of the boats supported more than 12 pennies.
- If boats are uniformly distributed between these quartiles, those supporting between 8 and 12 pennies make up another 25% (from Q2 to Q3).
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Calculate the total percentage supporting 12 or more:
- Boats supporting 12 or more pennies are in the top 25% (the region above Q3) plus the boats that support exactly 12 pennies.
- Since Q3 is at 12, it indicates that many boats supported this amount.
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Total calculation:
- Thus, the fraction of boats that could support 12 or more pennies (25% from Q3 and possibly some additional percentage that exactly meets 12) is around 25% of the total boats.
For a fraction, it would be roughly \(\frac{1}{4}\) of the boats supporting at least 12 pennies.
Thus, the fraction of the boats that could support 12 or more pennies is \(\frac{1}{4}\).