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

Question

Quizplus · Accepted Answer

In perfectly symmetrical distributions, the distance from Q1 to Q3 is equal to the distance from Q2 to the median (which is the same as the distance from the median to the smallest or largest observation). Therefore, statement A is not correct, as the distance from Q1 to Q3 is the same as the distance from the median to the smallest observation or from the median to the largest observation, not half the distance between them.

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