Central Tendency & DispersionMTP Nov 21Question 3241 of 473
All Questions

Interval Quartile Range is ______ of QD

Options

AHalf
BDouble
CTriple
DEqual
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Correct Answer

✅ Option b — Double

All Options:

  • AHalf
  • BDouble
  • CTriple
  • DEqual

Detailed Solution & Explanation

By definition, the Interquartile Range (I.Q.R.) is the difference between the third and first quartiles: I.Q.R.=Q3−Q1\text{I.Q.R.} = Q_3 - Q_1 The Quartile Deviation (Q.D.) is defined as half of the interquartile range: Q.D.=Q3−Q12  ⟹  Q3−Q1=2×Q.D.\text{Q.D.} = \frac{Q_3 - Q_1}{2} \implies Q_3 - Q_1 = 2 \times \text{Q.D.} Therefore, the interquartile range is double of the quartile deviation. Hence, **Option B** is the correct answer.

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