# Given data that shows total amount per given time, what does the integral mean?

Suppose that we have the following data:

Which I suppose records the amount of entries into a raffle contest from 12am to 8am,

and I wanted to just randomly use trapazoidal approximation to find the area underneath the points that I plot which I have calculated it to be 10.6875.

My teacher told me that there was a meaning behind this number and I wasn't really sure. I initially believed that this was the actual amount of entries submitted but realized that it would be foolish as the data itself shows the amount of entries being submitted.

I was wondering what this integral means?