In perfectly symmetrical distributions, which of the following is NOT a correct statement?

The distance from the smallest observation to Q$2$ is the same as the distance from Q$2$ to the largest observation.

The distance from Q$1$ to Q$2$ equals the distance from Q$2$ to Q$3.$

The distance from Q$1$ to Q$3$ is half of the distance from the smallest to the largest observation.

The distance from the smallest observation to Q$1$ is the same as the distance from Q$3$ to the largest observation.