A scientist collected a sample of data on cats' weights. The data were rounded to the nearest kilogram. If the minimum weight was 4 kg and the range was 5 kg, what was the maximum weight using real limits?

a) 8.5kg
b) 7kg
c) 8 kg
d) 9kg
e) 7.5kg

Given the problem, the minimum weight is \(4 \, \text{kg}\), and the range is \(5 \, \text{kg}\).

### Step-by-step solution:

1. **Range definition**: The range is the difference between the maximum and minimum values in the dataset. Using the formula for the range:
   \[
   \text{Range} = \text{Maximum weight} - \text{Minimum weight}
   \]
   Substituting the given values:
   \[
   5 \, \text{kg} = \text{Maximum weight} - 4 \, \text{kg}
   \]
   Solving for the maximum weight:
   \[
   \text{Maximum weight} = 4 \, \text{kg} + 5 \, \text{kg} = 9 \, \text{kg}
   \]

2. **Real limits**: Since the data were rounded to the nearest kilogram, the real limits of the weights include values slightly below and above the recorded weights. The real limits for a value rounded to \(9 \, \text{kg}\) would range from \(8.5 \, \text{kg}\) to \(9.5 \, \text{kg}\).

Thus, the **maximum weight using real limits** is \(8.5 \, \text{kg}\).

### The correct answer is:
\[
\boxed{a) \, 8.5 \, \text{kg}}
\]

Would you like further clarification or have any other questions?

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Here are 5 related questions to expand on this:
1. What are real limits in a statistical context?
2. How would the range change if the minimum weight was different but the maximum stayed the same?
3. How do you calculate the mean and standard deviation of a dataset?
4. What is the difference between discrete and continuous data?
5. How would rounding affect statistical measures like variance?

**Tip**: Always consider real limits when working with rounded data, as they affect the interpretation of the actual values in continuous datasets.

A scientist collected a sample of data on cats' weights. The data were rounded to the nearest kilogram. If the minimum weight was 4 kg and the range was 5 kg, what was the maximum weight using real limits? a) 8.5kg b) 7kg c) 8 kg d) 9kg e) 7.5kg

Learn how to calculate the maximum weight of cats using real limits from a sample dataset. Given the minimum weight of 4 kg and a range of 5 kg, this problem covers concepts like range calculation and real limits. Suitable for students in Grades 9-12.

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