In a perfectly symmetric distribution,which of the following statements is false? 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 symmetric distribution, the distance from the smallest observation to the median is equal to the distance from the median to the largest observation. Therefore, the distance from Q₁ to Q₃ is half of the distance from the smallest to the largest observation, making statement D false. Statements A, B, and C are true in a perfectly symmetric distribution.

In a Perfectly Symmetric Distribution,which of the Following Statements Is