In a grouped distribution for a continuous variable, an interval labeled 50-59 has real limits of:

In a grouped distribution for a continuous variable, an interval labeled 50-59 has real limits of:

• A. 50 to 59
• B. 49.5 to 59.5
• C. 45.0 to 59.9
• D. 45.5 to 60.5

Answer: (B)

In grouped distributions for a continuous variable, real limits are the actual boundaries that define where a value will still be counted in that class, extending halfway to the neighboring class values. For a class labeled 50-59, the neighboring values sit at 49 and 50 on one side and 59 and 60 on the other. The halfway points are 49.5 and 59.5, so the real limits are 49.5 to 59.5. This uses half-unit boundaries to reflect the continuous nature of the data and to avoid gaps between classes. The other options either give the simple class limits (50 to 59) or extend boundaries inconsistently (such as 45.0 to 59.9 or 45.5 to 60.5), which don’t align with the halfway-between rule.

In grouped distributions for a continuous variable, real limits are the actual boundaries that define where a value will still be counted in that class, extending halfway to the neighboring class values. For a class labeled 50-59, the neighboring values sit at 49 and 50 on one side and 59 and 60 on the other. The halfway points are 49.5 and 59.5, so the real limits are 49.5 to 59.5. This uses half-unit boundaries to reflect the continuous nature of the data and to avoid gaps between classes. The other options either give the simple class limits (50 to 59) or extend boundaries inconsistently (such as 45.0 to 59.9 or 45.5 to 60.5), which don’t align with the halfway-between rule.