Why Data Science?

I chose data science because I like the idea of manipulating data, large amounts of data. I also like the idea of applying methods of visualization to make statements about that same data and possibly make predictions based on said data. Surely these processes involve the use of statistical tools, which I'm very interested in learning. Statistics has not been my main focus on mathematics never before, but since I found out about mathematical statistics I became really interested in this field. Look at the basic concepts of statistics like the mean, the median, the standard deviation and other things, and you're going to notice that almost no one understands these concepts deeply. Maybe you learnt at school that to take an average you add up all the quantities and you divide the sum by the total of elements that you added. But why does this work? Where does the average formula come from? Mathematical statistics has the answer.