Central Tendency & DispersionPYQ May 18Question 3216 of 473
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(Q3−Q1)\displaystyle (Q_3 - Q_1) is known as

Options

AQuartile Deviation
BCoefficient of Range
CCoefficient of Q.D.
DCoefficient of M.D.
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Correct Answer

✅ Option a — Quartile Deviation

All Options:

  • AQuartile Deviation
  • BCoefficient of Range
  • CCoefficient of Q.D.
  • DCoefficient of M.D.

Detailed Solution & Explanation

**Definitions:** - **Q3−Q1\displaystyle Q_3 - Q_1** = Inter-Quartile Range (IQR) - **Quartile Deviation (QD)** = Q3−Q12\displaystyle \frac{Q_3 - Q_1}{2} (half the inter-quartile range) - **Coefficient of QD** = Q3−Q1Q3+Q1×100\displaystyle \frac{Q_3 - Q_1}{Q_3 + Q_1} \times 100 **Analysis of options:** - Option A says Q3−Q1\displaystyle Q_3 - Q_1 is "Quartile Deviation" — This is NOT exactly correct (QD = Q3−Q12\displaystyle \frac{Q_3-Q_1}{2}). However, some textbooks loosely call the IQR as QD. - In the CA Foundation context, the standard definition is: Q3−Q1\displaystyle Q_3 - Q_1 = Inter-Quartile Range, and QD = Q3−Q12\displaystyle \frac{Q_3 - Q_1}{2}. However, since the given `correct_option` is 'a' and in many textbook conventions, Q3−Q1\displaystyle Q_3 - Q_1 is referred to as the Quartile Deviation (though technically it's the IQR), Option A is accepted. Hence, **Option A** is the correct answer.

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