I would like to clarify the meaning of 'plotting a distribution over time' for the following scenario or similar:
We have $k$ players playing a game in which they accumulate points. At each time $t$, each player $i$ holds some amount of points $s_i$, so we could have a distribution $X_t(s)$ of point levels achieved by these $k$ players at $t$. As the game goes on, we record $X_t(s)$ at each $t$, and at the end, we are asked to "plot $X_t(s)$ over time".
What exactly does this mean by plotting a distribution such as $X_t(s)$ over time? Thanks.