NDA 2017 Mathematics question

Consider the following statements : Statement 1 : Range is not a good measure of dispersion. Statement 2 : Range is highly affected by the existence of extreme values. Which one of the following is correct in respect of the above statements?

(A)Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1Correct
(B)Both Statement 1 and Statement 2 are correct but Statement 2 is not the correct explanation of Statement 1
(C)Statement 1 is correct but Statement 2 is not correct
(D)Statement 2 is correct but Statement 1 is not correct

Answer: (A)

Solution

The range uses only the two extreme observations, so a single unusually large or small value changes it greatly (Statement 2). This is

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Question ID VK-028681