Given below are two statements. In the light of the above statements, choose the correct answer from the options given below.
Statement I:A discrete variable can represent only a finite set of values.
Statement II:A continuous variable can be broken into subparts including fractions.
ABoth Statement I and Statement II are true ✓ Correct
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true
Correct answer: (A) Both Statement I and Statement II are true
Explanation
Both statements are true because a discrete variable takes only separate whole values while a continuous variable can be divided into fractions.
Statement 1 holds since discrete data are counted, like the number of children.
Statement 2 holds since continuous data are measured and split finely, like height.
Discrete values have gaps between them with nothing in between.
Continuous values form an unbroken range along a scale.
This distinction guides the choice of statistical treatment.
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