1. She is a medium height woman.

2. She is medium height.
3. She is of medium height.
4. She is a woman of medium height.
===================
Are they all grammatical? Which ones are right?

This kind of description is always difficult.

1. She is a medium height woman. <~~no, sorry
2. She is medium in height.
3. She is of medium height.
4. She is a woman of medium height.

All of the sentences you provided are grammatically correct. They differ slightly in sentence structure and word order but convey the same meaning.

All four sentences are grammatically correct and convey the same meaning. They all describe a woman who has an average or moderate height. The choice of phrasing may vary based on personal preference or writing style. Here is a breakdown of each sentence:

1. "She is a medium height woman." In this sentence, "medium height" becomes an attributive noun phrase modifying the noun "woman." This construction is commonly used to describe a person's physical characteristics.

2. "She is medium height." This sentence omits the article "a" before "medium height," but it is still grammatically sound. The adjective "medium" directly describes the noun "height," indicating that the woman's height is neither too tall nor too short.

3. "She is of medium height." This sentence uses the preposition "of" to indicate possession or association. By saying "she is of medium height," it expresses that the woman possesses or belongs to the category of people with moderate height.

4. "She is a woman of medium height." Similar to the first sentence, this structure uses the attributive noun phrase "of medium height" to describe the woman, with the article "a" placed before "woman." It implies that the woman's gender and height are being highlighted simultaneously.