Variable with Fractional Values — Type
A variable X takes values 1/8, 1/16, 1/32, 1/64... Is X a discrete or continuous variable?
- Continuous, because it takes fractional values
- Discrete, because it cannot take any value between two adjacent fractional values — Correct Answer
- Neither continuous nor discrete
- 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.