In perfectly symmetrical distributions, which of the following is NOT a correct statement?
A) The distance from Q1 to Q2 equals to 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 a perfectly symmetrical distribution, the distance from Q1 to Q3 is equal to the interquartile range, which is not necessarily half of the distance from the smallest to the largest observation.

In Perfectly Symmetrical Distributions, Which of the Following Is NOT