In perfectly symmetrical distributions,which of the following is NOT a correct statement? A)The distance from Q₁ to Q₂ equals the distance from Q₂ to Q₃. B)The distance from the smallest observation to Q₁ is the same as the distance from Q₃ to the largest observation. C)The distance from the smallest observation to Q₂ is the same as the distance from Q₂ to the largest observation. D)The distance from Q₁ to Q₃ is half of the distance from the smallest to the largest observation.

Question

Quizplus · Accepted Answer

In perfectly symmetrical distributions, the distance between the median and the smallest observation is equal to the distance between the median and the largest observation. Therefore, statement D is incorrect as it suggests that the distance between Q₁ to Q₃ is half of the distance from the smallest to the largest observation which is only true for skewed distributions.

In Perfectly Symmetrical Distributions,which of the Following Is NOT a Correct