Question

The class width is

A. All the given choices except the last one
B. the difference between two consecutive lower class limits
C. the difference between two consecutive class midpoints
D. the difference between two consecutive class points of the same type
E. the difference between two consecutive class boundaries
F. the value obtained by rounding up the difference between the largest and smallest sample values divided by the number of classes
G. the difference between two consecutive upper class limits
H. None of the above.

Answer 1

The class width can be described as the difference between consecutive boundaries, midpoints, or limits of the same type within a dataset and is important for constructing histograms or frequency tables.

Step-by-step explanation:

The class width is the difference between consecutive class boundaries, class midpoints, or class limits of the same type. Specifically, it can be defined as:

• B. the difference between two consecutive lower class limits
• C. the difference between two consecutive class midpoints
• D. the difference between two consecutive class points of the same type
• E. the difference between two consecutive class boundaries
• G. the difference between two consecutive upper class limits

Each definition describes the consistent separation between elements in a dataset when displayed in a histogram or frequency table. However, methods for determining class width can vary based on the dataset and the style of the histogram. Practices such as rounding up to prevent values from falling on boundaries may be applied, and guidelines for class interval width may include taking the square root of the number of data values.

Answer 2

A. All the given choices except the last one.

Step-by-step explanation:

Class Width is the difference between two lower or upper consecutive class intervals. And when we don't have class interval then class width is the difference between the lowest and largest value divided by the number of classes.

Here, Option B, C, D, E, and G are correct because we take the difference between two class intervals at the same points. It does not matter whether we take the difference of upper, lower, mid-point or class point lie equidistant from either boundary all have the same values.

Option F is the case when data are not arranged in terms of the class interval. It is also correct.

Hence Option A is correct.