Is each Doctor the same height as the corresponding actor?

Is each Doctor the same height as the corresponding actor?

I was recently reading about apple boxes, which is one of the terms used to describe the wooden crates shorter actors will be placed on to disguise a height difference.

TV Tropes has an entry on the phenomenon, because it’s TV Tropes and of course they do. What surprised me was that something that was spoken by our very own Paul McGann was used at the top of the page for the topic.

"I am five feet nine. Quite little, really. From a squat tribe, you see. My brothers (and sister) are all taller than me, as are most of the actresses I'm required to smooch. At such times they usually stand me on a box. Sort of keeps your feet on the ground, paradoxically."

Now, hold that thought.

I’ve listened to or read several stories where we get the point of view of someone just meeting the Doctor. In these stories, it was the Ninth and the Twelfth Doctor, and in each case, they thought of him as something like, “The Tall Man”.

But Eccleston and Capaldi are only six feet tall, which is taller than average, but not unusually so. In fact, the average height for an adult American male is 5’10, with a standard deviation of four inches. Not only is the “tall” Capaldi within one standard deviation of the mean, he’s within one standard deviation of the “short” McGann.

McGann isn’t really short at all, except by the standards of leading men, who do tend to skew taller than the norm. But he’d be right in the middle if you lined up 100 random men from tallest to shortest.

Now Tom Baker is famously tall. I recently watched the Android Invasion and there is a scene where he’s standing in a door frame and he just looks absolutely gigantic. I would assume that his Doctor is his height, if not taller. Likewise, the Seventh Doctor is probably about McCoy’s height, if not shorter

But what about the Doctors who fall in the middle? Is “tall” in the descriptor merely shorthand for the presence and the force of personality of the Doctor? He looms large in the minds of those he meets?

However, that’s not mutually exclusive with the character being taller than the performer. Any thoughts? Or is it something that you don’t think about at all, because we’re all listeners of an audio medium, where the question rarely ever comes up?