I wonder if anyone here who has the fitdistrplus R code could take a look at my data and help me find a good fit.

I've attached a txt file with the data. I had it in a csv file, but it would not allow me to attach that one.

The data is from a series of games of Klondike Solitaire. The

Moves column is the number of moves to complete the game. This is the X axis. There are 52 cards in a deck all of which must be moved up to the foundation piles. So the minimum number of moves is 52. In this version of the game, moves can be undone & redone, but they all count as moves, so there is no upper limit on the number of moves.

The

Wins column is the number of games that were completed (won) in that number of moves by a player. This is the Y axis. A "1" in the "63" row means that one player won (completed) a game in 63 moves. A "3" in the "69" row, means that 3 players won a game in 69 moves. On the other end, a "3" in the "173" row means that it took 3 players 173 moves to win a game.

Here is a scatter plot of that data:

It looks like a normal distribution to me or probably a truncated normal. I tried plotting a normal distribution using the mean (85.36853448)

and std dev (7.533296572) of the data. I got this:

I tried to fit a truncated normal, but the data was all wrong.

All of this is in an Excel workbook. It won't let me attach that type of file, so I uploaded it to this OneDrive folder:

Solitaire Data in OneDrive Folder
I also looked into a Beta distribution, but couldn't get my head around it.

I would appreciate any help finding a good fit for this data.

Thanks