What was Mr. Smith trying to teach you about Data, and why is this important for me?
The takeaway: Data can be looked at in different ways, it can be recorded and organized in different ways. It can be a list, an un-organized grouping, a visual representation etc. I disagree that the picture was data. It was observation. The list created from the picture was data.
Also, the lesson could be that data is interpreted. (if it's not interpreted then it doesn't matter. Like the noise of a tree falling when no one is around.) The data is made useful by the conclusions drawn from it. But those conclusions have a probability rating. The probability of the boy being interested in music is high. The probability that he lives in Turkey is lower.