Given below are two statements

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Dr. Pragya Gupta

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Q. Given below are two statements (December 2023, UGC NET)

Statements I: A variable which cannot take up exact values is called a ‘desecrate’ variable.

Statements II: A variable which cannot take up any numerical value (integral/fractional) within a certain range in called a continuous variable.

In the light of above statements, choose the correct answer from the options given below

1. Both Statement I and Statement II are true

2. Both Statement I and Statement Il are false

3. Statement I is true but Statement II is false

4. Statement I is false but Statement II is true

Correct Ans: (2)

Explanation: Both statements about types of variables are incorrect.

Statement I: “A variable which cannot take up exact values is called a ‘desecrate’ variable.”

  • This statement is incorrect because it misdefines a “discrete” variable. A discrete variable is one that can only take specific, separate values, typically integers, with no intermediate values between them. For example, the number of students in a class is a discrete variable because it can only be whole numbers (0, 1, 2, etc.).

Statement II: “A variable which cannot take up any numerical value (integral/fractional) within a certain range is called a continuous variable.”

  • This statement is also incorrect. A continuous variable is one that can take any numerical value, including fractions, within a certain range. For example, the height of students in a class is a continuous variable because it can take any value within a range (e.g., 150.5 cm, 152.75 cm, etc.).

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