View Full Version : Is there a stat site that keeps track of modal averages instead of mean averages?

Hicks

02-07-2013, 12:15 PM

I think it would be interesting to see the modal average for a player's points, rebounds, assists, etc. Modal average is the number most often seen, which means if a player has a modal average then it's the specific number of points, rebounds, or assists, or whatever that he most often produces.

If that didn't make sense, here's a typical example.

Say a player has scored in the last 10 games:

18

13

14

18

18

17

18

16

15

20

His mean average, which is commonly just referred to as just his average, would be what you get when you add all of those up and divide by those 10 games, and you'd get 16.7 ppg.

Now, the mode or modal average is identifying which number is most common. In this case, that would be 18 because he scored 18 points in four of those ten games (no other number repeated more than once, let alone more than four times), making it the most common amount of points scored. So his mode / modal average for those 10 games is 18 points.

The reason I thought this could be interesting is that especially as you make the sample size bigger, it gives you a sense of what might be the most likely outcome to expect on any given game night because ultimately it's the most common result.

So I was wondering if any NBA stat site kept track of this without making me do the math myself.

mattie

02-07-2013, 02:02 PM

Definitely interesting, plus I think it would be fun to have that information and compare two different types of scorers in Kobe Bryant and Dwyane Wade. Love to compare them when they're both stll at the top of their game in say 08-09...

Thing is, I felt like in general, Dwyane has been the guy likely to throw up say, 28, while Kobe was likely to throw up 35, yet their mean averages have been similar for many years. (This is a guess though, I really don't know how their modal averages would differ)

Either way, having these numbers would certainly at the least be entertaining, even if they don't tell us a whole lot.

Naptown_Seth

02-07-2013, 02:09 PM

Given the amount of possible points, I'd make buckets of 3-5 points and then pareto those. I don't know of a site that does it but data dumps from BBall ref are easy and a paste into Excel or just a VBA macro could crank out numbers in a hurry. I'm not much for writing scripts against website data but obviously web coders do it all the time. It's possible that BBall Ref frowns on bot-style data extraction.

Median value also has merit since in a similar way it removed the outlier games that pull an average up or down.

As these are basic stats I'm certain that they are not only captured by teams (or bettors, etc) but that they are just the first step in more complex calculations.

Hicks

02-07-2013, 02:38 PM

Where specifically do I have to go to download data from bball ref?

spazzxb

02-07-2013, 03:02 PM

When you want the mode is it really still called an average? Or would modal average be an average of various modes? Just seems odd.

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Hicks

02-07-2013, 04:01 PM

When you want the mode is it really still called an average? Or would modal average be an average of various modes? Just seems odd.

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There are three kinds of averages: Mean, median, and mode. Almost always you see mean average being used, and thus it casually gets referred to as just "average" (dropping the word "mean"). But all three are different and together they help give you a better idea of an average of some set of data.

When you see someone say "the average" they almost always are actually talking about "the mean average."

spazzxb

02-09-2013, 03:08 AM

I know what a mode. Mean, and median are. Just didn't know mode is refered to as an average. Mode is the most occuring value. Mean is the average of the sample. Median is the value of the centered piece of data.

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Lance George

02-09-2013, 04:11 AM

I don't know of any places that keep this stat, but if you go to any player's game log at Basketball Reference, you can sort the various catogories. You should be able to quickly glance at the sorted stats and find what you're looking for.

For example, Paul George's scoring: Paul George 2012-13 Game Log | Basketball-Reference.com (http://www.basketball-reference.com/players/g/georgpa01/gamelog/2013/)

<iframe src="http://www.basketball-reference.com/play-index/share.cgi?id=aOXR4&output=iframe" width=880 height=1200 scrolling=auto>

Report Created on <a href="http://www.basketball-reference.com/">Basketball-Reference.com</a>

</iframe>

</iframe>

Hicks

02-09-2013, 11:50 AM

I know what a mode. Mean, and median are. Just didn't know mode is refered to as an average. Mode is the most occuring value. Mean is the average of the sample. Median is the value of the centered piece of data.

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As far as I know, all three are equally considered to be a type of average. We just tend to stick with mean average in mainstream society, so mean is now erroneously considered to be 'the one true average' . :)

Hicks

02-09-2013, 12:01 PM

I don't know of any places that keep this stat, but if you go to any player's game log at Basketball Reference, you can sort the various catogories. You should be able to quickly glance at the sorted stats and find what you're looking for.

For example, Paul George's scoring: Paul George 2012-13 Game Log | Basketball-Reference.com (http://www.basketball-reference.com/players/g/georgpa01/gamelog/2013/)

<iframe src="http://www.basketball-reference.com/play-index/share.cgi?id=aOXR4&output=iframe" width=880 height=1200 scrolling=auto>

Report Created on <a href="http://www.basketball-reference.com/">Basketball-Reference.com</a>

</iframe>

</iframe>

Thanks. I went ahead and put those 50 games worth of results in Excel and came up with:

Mean: 17.76

Median: 16

Mode: 15

I think I'll go back and just do the games starting with the @CHI game and see how it looks then (that's pretty much when he broke out).

Hicks

02-09-2013, 12:05 PM

Okay, here is his mean, median, and mode the last 33 games (starting with the @CHI game):

Mean: 19.9697

Median: 20

Mode: 15

Hicks

02-09-2013, 12:21 PM

I found an online calculator that even gives you a box plot, so I did that with his @CHI and beyond numbers.

I'm not sure this image is attaching properly, so I'll include the following:

Population size: 33

Median: 20

Minimum: 8

Maximum: 34

First quartile: 15

Third quartile: 25

Interquartile Range: 10

Outliers: none

Basically, on a good night he's going to drop about 25 points on fools, on a bad night he'll still give you about 15 points.

*edit* Never usually use these types of websites, so who knows how long before this graphic won't show up again, but oh well:

http://i45.tinypic.com/11walpz.jpg

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