Most of the requests from kids of that age, are looking for a camera that works well in low light without using flash.
Very few cameras under $600 work well in low light.
But Fujifilm makes several cameras that have the best performance in low light.
I would suggest you start by looking at the Fujifilm F20.
Here is a look at the specifications:
I was just wondering, what would be the best digital camera for a 16-17 year-old high school student who likes to take pictures with friends and that is not over 250$?