Definition of Range

Question

The Range of a variable is defined as:

Select an answer

The Range of a variable is defined as:

  1. The average of the largest and smallest observations
  2. The difference between the largest and the smallest observations — Correct Answer
  3. The ratio of the largest to the smallest observation
  4. The sum of all observations in the data
Explanation:
Correct Answer Explanation

Range = Largest value − Smallest value of the variable in the dataset.

Key Points:
  • Range represents the overall spread of the data.
  • Number of classes = Range ÷ Class Interval (for equal class intervals).
  • Example: If marks range from 0 to 100, Range = 100 − 0 = 100; with class interval of 10, number of classes = 100/10 = 10.
  • Range helps decide the size of class intervals while constructing a frequency distribution.

📚 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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