What are the real limits of the 5-9 class in this distribution?

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Multiple Choice

What are the real limits of the 5-9 class in this distribution?

Explanation:
When you work with a grouped distribution, you treat each class as a real interval on a continuous scale, not just a set of integers. Real limits (class boundaries) are placed halfway between adjacent class limits to avoid gaps. For a 5–9 class, the boundary to the left is halfway between 4 and 5, which is 4.5, and the boundary to the right is halfway between 9 and 10, which is 9.5. So the real limits are 4.5 to 9.5. This ensures that any value that could be recorded as 5 through 9 falls within this class, while values just below 5 or just above 9 belong to neighboring classes. The other options either use the integer endpoints (which are the class limits, not the real limits) or misplace the boundaries, so they don’t reflect the proper continuous boundaries.

When you work with a grouped distribution, you treat each class as a real interval on a continuous scale, not just a set of integers. Real limits (class boundaries) are placed halfway between adjacent class limits to avoid gaps. For a 5–9 class, the boundary to the left is halfway between 4 and 5, which is 4.5, and the boundary to the right is halfway between 9 and 10, which is 9.5. So the real limits are 4.5 to 9.5. This ensures that any value that could be recorded as 5 through 9 falls within this class, while values just below 5 or just above 9 belong to neighboring classes. The other options either use the integer endpoints (which are the class limits, not the real limits) or misplace the boundaries, so they don’t reflect the proper continuous boundaries.

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