So let's check it out by graphing standard deviation versus how far away the point is from This would mean our original hypothesis was true, at least for dice with coins on them! the ones that are better "values") are bigger on average. It looks like the points above the line (i.e. Since the previous graph has the points' sizes proportional to standard deviation, it's interesting to see that Than most dice blocks with no coins on them, and there's also a -3 coins side. On the flip side, I think Waluigi is the worst die in the game the total moves of 21 is no better His total moves of 28 is by far the highest of any dice block! These three are all on the Pareto frontier, as are Bowser is also good if you can stomach the loss of coins, as No coins on them, but he also has a +5 coins side! Diddy Kong is similar with a total moves Donkey Kong particularly stands out his total moves of 20 would match a lot of the dice blocks with Anything above the line is better than "expected". With coins are a tiny bit better than dice without coins.īut the individual points are also interesting here. Interestingly, the x-intercept of the line isĪround 21.2, whereas dice with no coins have a total value of either 20 or 21 (or are Yoshi), so on average dice The slope of the line is veryĬlose to -1, meaning that each extra coin takes away about one movement point. Here the regression line is a pretty good fit, with R 2 around 77%. (note that you can hover over or tap the points to see what dice block it represents) To begin with, let's ignore the dice with coins on them we'll get to them in a minute: So my first step was to graph the sum of all the die's faces versus the standard deviation of I realize this is reading waaaay into this video game :-) ) Riskier assets should have higher rewards on average. Higher than a standard die's total value of 21! (this also sounded to me like the financial idea that It's very volatile but the total value of the moves on the die is 28, much A prime example of this to me was Bowser's die, which has values Just from playing the game, my first guess was that dice with greater volatility would have a Have incorrect values as far as I can tell these values match what's in the game): ( source here - note that there are various other places online that Note that some dice have sides that will give or take away coins instead of letting you move. Turn you can use a normal die (with values 1-6), your character's die, or the die of any allies you've But each character has their own special die with different values on the side, and on each Super Mario Party is basically a board game every turn you roll a die to see how far you I've been curious about the wildly different dice blocks each character has. The kids have been enjoying Super Mario Party (the Nintendo Switch game from 2018), and while playing
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