In a grouped frequency distribution, if a class interval is labeled 50-59 and the variable is continuous, what are the real limits for this interval?

In a grouped frequency distribution, if a class interval is labeled 50-59 and the variable is continuous, what are the real limits for this interval?

• A. 49.5 and 59.5
• B. 50 and 59
• C. 49 and 60
• D. 50.0 and 59.0

Answer: (A)

Real limits reflect where values on a continuous scale truly belong, extending halfway to the boundaries of neighboring classes. For a class labeled 50-59, that means the interval includes any value from 49.5 up to 59.5. The 0.5 extension on both ends accounts for measurement precision and ensures values just below 50 or just above 59 are still counted in this class. So the real limits are 49.5 and 59.5.

Real limits reflect where values on a continuous scale truly belong, extending halfway to the boundaries of neighboring classes. For a class labeled 50-59, that means the interval includes any value from 49.5 up to 59.5. The 0.5 extension on both ends accounts for measurement precision and ensures values just below 50 or just above 59 are still counted in this class. So the real limits are 49.5 and 59.5.