Question

What does taking ownership of your own tasks mean (its not history lol sorry!)

Answer 1

The correct answer is the following.

Taking ownership of your own tasks means that you are responsible to carry on with the tasked you were asked to do it. When you have ownership of your own tasks means that you are mature enough to fulfill and accomplish the task at hand. You do your work as you were commanded to do it. So you do it right, you do it at the moment, with no excuses and you deliver the correct results.  That creates confidence and people can trust you. In doing so, you will have more task to do and more complicated ones because you showed that you were capable to do your work.

Answer 2

Is this like a guidance or a health class? If so the answer is probably responsibility.