Given below are two statements:
Statement I: A discrete variable can represent only finite set of values.
Statement II: A continuous variable can be broken into subparts including fractions.
In the light of the above statements, Choose the correct answer from the options given below:

Correct option is A

Statement I is true because a discrete variable refers to a variable that can take on only a finite or countable number of values. For example, the number of students in a class or the number of books on a shelf represents discrete variables because they are distinct and finite.
Statement II is also true as a continuous variable can indeed be broken down into fractions or decimals. Continuous variables take on an infinite number of possible values within a given range. Examples include measurements such as height, weight, and time, where the variable can be divided into smaller parts, including fractional values.
Information Booster: 1. Discrete variables take specific, distinct values, such as the number of objects, events, or individuals.
2. Continuous variables can be divided into an infinite number of smaller increments, such as lengths, weights, or times.
3. Discrete variables are countable and usually expressed in whole numbers, whereas continuous variables are measurable and can include decimal or fractional values.
4. In research, it's crucial to identify whether the variables are discrete or continuous, as this affects the statistical methods used.
5. Continuous variables can cover any value within a certain range, making them ideal for scientific and measurement-related research.
6. Discrete variables are limited in the values they can assume, often used in cases where only specific numbers or categories are involved.