Measures of dispersion range IQR

Moderate

U5 – Mathematical Reasoning and Aptitude

Practice

Concepts: interquartile range outliers effect quartiles range measure robust dispersion UGC NET statistics

Q: Which of the following statements about range and interquartile range (IQR) are correct?

(A) The range of a data set is defined as the difference between its maximum and minimum values;
(B) The interquartile range is computed as the difference between the upper quartile (Q3) and the lower quartile (Q1);
(C) The range is unaffected by extreme values or outliers in the data set;
(D) The interquartile range is considered more robust than the range when outliers are present;
(E) In any data set, the range is always equal to the interquartile range;
Choose the correct answer from the options given below:

A and B only A, B and C only B, D and E only A, B and D only

Answer & Explanation +

Answer:

Option D :– A, B and D only

Explanation:

Statement A is correct because range is maximum minus minimum. Statement B accurately defines the IQR as Q3 − Q1. Statement D is also true since IQR is less sensitive to outliers than the range. Statement C is false because a single extreme value can change the range a lot, and E is false because range and IQR are generally different. Therefore, A, B and D only are correct.

Option A:
Option A is incomplete because it omits D (robustness of IQR).

Option B:
Option B is incorrect as it includes C (false).

Option C:
Option C is wrong because it includes E (false) and omits A.

Option D:
Option D is correct since it includes all correct statements and excludes C and E.

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Measures of dispersion range IQR – UGC NET Question

Q: Which of the following statements about range and interquartile range (IQR) are correct?

Answer:

Explanation:

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Q: Which of the following statements about range and interquartile range (IQR) are correct?

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Explanation:

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