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CA Foundation · Quantitative Aptitude · Statistical Description of Data

Which of the following variables is measured on a ratio scale, so that statements such as 'twice as much' are meaningful?

Annual turnover in rupees is measured on a ratio scale because it has a true zero and ratios are meaningful, so ₹10 crore is truly twice ₹5 crore. Celsius temperature and calendar years are interval scales with arbitrary zeros, and roll numbers are merely nominal labels.

  1. ATemperature of a cold storage unit in degrees Celsius
  2. BCalendar year in which a company was incorporated
  3. CAnnual turnover of a firm in rupeesCorrect
  4. DRoll number allotted to a student

Explanation

Turnover has a true zero (no turnover = ₹0), so ratios like ₹10 crore being twice ₹5 crore are meaningful. Celsius temperature and calendar year are interval scales with arbitrary zero points, and roll numbers are only labels (nominal).

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