Saw a young deer on the Parkway path

On my way back, I saw a young white tailed deer on the Parkway path. When I first saw it, it was a few hundred feet away, and it crossed the path. As I got closer to the point where I had seen the deer, it came out from the bushes and stood next to the path and watched me. I ran for several seconds and got to about 50 feet from it before it moved. It crossed the path and ran next to the path toward me. When it passed me it was about 15 feet away. It was quite a large deer, so it wasn't a young fawn, but it didn't look like an adult deer. The deer had the white spots that I think indicate it was a young deer. The following picture was taken from a web site.