Variable with Fractional Values — Type

Question

A variable X takes values 1/8, 1/16, 1/32, 1/64... Is X a discrete or continuous variable?

Select an answer

A variable X takes values 1/8, 1/16, 1/32, 1/64... Is X a discrete or continuous variable?

  1. Continuous, because it takes fractional values
  2. Discrete, because it cannot take any value between two adjacent fractional values — Correct Answer
  3. Neither continuous nor discrete
  4. Qualitative, because the values are fractions
Explanation:
Correct Answer Explanation

X is a Discrete variable. Though it takes fractional values, it cannot take any value between two adjacent values — it 'jumps' from 1/8 to 1/16 and from 1/16 to 1/32.

Key Insight:
  • A discrete variable does not necessarily take only integer values.
  • It can take fractional values too, as long as it cannot take any intermediate value between two adjacent values.
  • The defining characteristic of a discrete variable is the finite 'jump' from one value to the next.

📚 About this Topic — CH-3: Organisation of Data

This multiple choice question is from CH-3: Organisation of Data, NCERT Books, Statistics for Economics. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from CH-3: Organisation of Data to strengthen your preparation.

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