When a class interval is expressed as: 100 up to 200,

A. observations with values of 100 are excluded from the class frequency.

B. observations with values of 200 are included in the class frequency.

C. observation with values of 200 are excluded from the class frequency.

D. the class interval is 99.

To determine the correct answer, let's first understand what a class interval represents. In statistics, a class interval is a range of values that is used to group data in a frequency distribution table.

In the given example, the class interval is expressed as "100 up to 200", which means it includes values greater than or equal to 100 and less than 200.

Now let's analyze each option to find the correct answer:

A. Observations with values of 100 are excluded from the class frequency.
This statement is incorrect because the class interval includes values greater than or equal to 100.

B. Observations with values of 200 are included in the class frequency.
This statement is correct. Since the class interval is "100 up to 200", it includes values less than 200.

C. Observations with values of 200 are excluded from the class frequency.
This statement is incorrect. The class interval includes values less than 200.

D. The class interval is 99.
This statement is incorrect because the class interval is defined as "100 up to 200", indicating the range between 100 and 200.

Based on this analysis, the correct answer is B. Observations with values of 200 are included in the class frequency.