To analyze the information provided about the "Weights of Meat" line plot, let's summarize the weights based on the details given. The weights of the meat packages (in pounds) and the number of dots (indicative of the number of packages at each weight) are as follows:
- Five eighths (5/8): 2 packages
- Six eighths (6/8 or 3/4): 1 package
- One (1): 1 package
- One and one eighth (1 1/8): 3 packages
- One and two eighths (1 2/8 or 1 1/4): 1 package
- One and three eighths (1 3/8): 1 package
Let's analyze the statements based on this data:
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The difference between the greatest and least weights of the packages:
- Least weight = 5/8 pound
- Greatest weight = 1 and 3/8 pounds = 1.375 pounds
- Difference = 1.375 - 0.625 = 0.75 pounds.
- This does not match the options given.
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14 of the packages weigh 5/8 pound:
- Incorrect, there are only 2 packages at this weight.
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1/4 of the packages weigh 5/8 pound:
- Total packages = 2 + 1 + 1 + 3 + 1 + 1 = 9.
- 1/4 of 9 is 2.25, not equal to 2, so this is also incorrect.
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6 different packages of meat were purchased in total, each package with a different weight:
- This is incorrect. There are 9 packages in total, but not all have different weights as the weights have repetitions.
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The number of packages that weigh 1 1/8 pounds is 3 times the number that weigh 3/4 pound:
- Number of packages weighing 1 1/8 = 3, and the number weighing 3/4 = 1.
- 3 is not 3 times 1, so this is incorrect.
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All of the packages weigh more than 1/2 pound:
- This statement is true, as all listed weights (5/8, 3/4, 1, 1 1/8, 1 1/4, 1 3/8) are greater than 1/2 pound.
From the analysis above, the only correct statements from the responses you provided seem to be the realization that there are more clarifications needed to identify correct responses based on the analysis of the weight and count of packages. Only one statement can be used (The number of packages that weigh 1 1/8 pounds is 3 times the number that weigh 3/4 pound) which is not accurate since 3 does not equal 3 x 1 and thus could be misleading.
Based on the provided responses, the only comprehensive understanding is that all packages weigh more than 1/2 pounds, but this too cannot be confirmed as a direct response due to lack of choices. Further clarification or verification may be necessary.