A cumulative frequency distribution shows the total number of observations that fall below or above a specific value. The 'less than' type (ogive) accumulates frequencies from the lowest class upward, while the 'more than' type accumulates frequencies from the highest class downward. These are standard tools for visualizing data distribution.

Three-dimensional diagrams are defined by their ability to represent data across three spatial dimensions. These dimensions are typically length, breadth (or width), and depth (or height), allowing for the visualization of more complex data structures compared to two-dimensional charts.

In the inclusive method of frequency distribution, the upper limit of one class and the lower limit of the next class are distinct, and both limits are included in the class interval. For example, a class defined as 10-19 includes both 10 and 19. This contrasts with the exclusive method, where the upper limit of one class is the lower limit of the next, and the upper limit is excluded from that interval.

In statistics, a table that displays multiple interrelated characteristics or variables is known as a manifold table. Because these tables contain more than two variables, they are also referred to as higher-order tables. Therefore, both terms are used to describe complex tables that provide extensive information.

Class limits are the specific values that define the lower and upper bounds of a class interval. They determine the range of values that belong to a particular category in a frequency distribution. Understanding class limits is crucial for ensuring that data is categorized correctly and that no values are omitted or double-counted during the grouping process.

The source answer identifies 'Sub note' as the correct term, though in standard statistical practice, the heading describing the table's content is typically called the 'Title'. A 'Head note' usually provides supplementary information below the title, while a 'Footnote' appears at the bottom. We retain the source answer while noting that terminology may vary by specific academic or professional style guides.

The class boundary is defined as the difference between the upper and lower limits of a class interval. These boundaries are essential for creating continuous frequency distributions, ensuring that there are no gaps between consecutive classes, which is necessary for accurate graphical representation.

Classification tables are the foundational tools used in statistics to organize raw data into meaningful categories or groups. By grouping data based on specific attributes or ranges, researchers can simplify complex datasets, making them easier to analyze and interpret before performing further statistical calculations or creating visual summaries.

The width of a class interval is calculated by finding the range of the data (Maximum - Minimum) and dividing it by the desired number of classes. Here, the range is 85 - 65 = 20. Dividing 20 by 8 yields 2.5, which is the required width for each class interval to cover the entire data range.

A 'less than' cumulative frequency distribution records the total number of observations that are less than or equal to a specific value. By convention, these frequencies are associated with the upper boundaries of the class intervals to represent the cumulative count up to that point.