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#1
Oct 1, 2018 12:25 PM

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So I’ve seen many threads about everyone’s anime mean score, but none about standard deviation, so I thought I’d be that stat nerd and propose it.

Resources
Basics of standard deviation
Find your standard deviation on MALGraph. Would post screenshots, but at work

1. Type in your username
2. Update your list if necessary (“Click to update” box above your profile picture). Might take a while if everyone does it :/
3. Click ‘Ratings’
4. It’s the third number to the right (Std dev)

What’s your standard deviation? What would you expect the standard deviation of scores to be within the MAL community? I’ll do a quick analysis of my own, so that hopefully this might make some more sense to those not familiar with statistics:

I have a standard deviation of 2.17 with a mean score of 5.88 and a population of 595 rated shows. Practically, this means roughly 68% of my anime (405 shows) falls within one standard deviation of my mean score, and 95% of my anime (565 shows) falls within two standard deviations of my mean score.

1 S.D. = 5.89 ± 2.17 = Scores between 3.72 and 8.06
2 S.D. = 5.89 ± (2.17 x 2) = Scores between 1.55 and 10.23

Of course this isn’t a perfect system to analyze anime scores, since we only use whole numbers on MAL and you’ve got a high possibility of going under 1 or over 10 once you get to 2 standard deviations (like I did), but hopefully we can gleam some interesting info from all this. For example, my standard deviation is probably higher than most, because I am pretty liberal about giving out 9s while also giving out quite a bit of low scores. That said, ~22% of my shows have a 6 score, which balances it out a bit. I wouldn’t be too surprised to find a handful of people with a higher deviation.

Overall, I’d estimate the average MAL standard deviation to be between 1.25 and 1.5. I’d also say deviations between 1 and 2 are reasonable and conductive to a good scoring system imho. Hopefully this interests more people than just me and at the very least gives somebody a small math lesson for the day.
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#2
Oct 1, 2018 12:28 PM

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is my standard deviation normal or high or low?

 
#3
Oct 1, 2018 12:33 PM

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Salokannel2 said:
is my standard deviation normal or high or low?
I'd say a little on the high side, but pretty reasonable. Especially considering how sexy that bell curve is, lol. Most likely just higher cause you don't have as many 10s as a basic stat calc would think. Feel like that might be a reoccurring pattern for many.
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#4
Oct 1, 2018 12:33 PM
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Well this is useless to me since my score is added only on the reviews i do...
 
#5
Oct 1, 2018 12:35 PM

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Who cares if two thirds of MaL users rate in a 5* system....
 
#6
Oct 1, 2018 12:37 PM

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Lanor-sama said:
Who cares if two thirds of MaL users rate in a 5* system....
Wait, what? You referring to a 5-star system? I didn't think MAL had that option...
Unless you mean that the majority of MAL scores only between 5-10. In that case, standard deviation would still give you results. You'd just have a low value.
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#7
Oct 1, 2018 12:39 PM

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Related: https://www.reddit.com/r/anime/comments/7tkra3/finding_the_most_and_least_polarizing_anime_on_mal/

Also uses standard deviation, but on the scores for a specific anime not the scores given by a specific user.

I'm not sure I totally agree with the methodology, because "polarizing" implies a bimodal distribution that standard deviation alone doesn't necessarily cover (like, there's a difference between a scattered distribution and a bimodal distribution), but it's still interesting to read.
 
#8
Oct 1, 2018 12:40 PM

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Anyway

Total rated: 111
Mean score: 6.66
Std dev.: 2.34


FWIW:
1. I use a 1-9 scale. Actually I use a -2 to 2 scale, then map it to 1/3/5/7/9, then fill in the gaps with tweaks as I see fit.
2. I don't rate everything. (150 unrated items)
3. I rate on my own personal opinion -- a 6 is not a "pass", it is a "I mildly liked it".



Also, standard deviation for a user's score is less meaningful than it would be if the scores were normally distributed. But user scores are generally NOT normally distributed.
 
#9
Oct 1, 2018 12:42 PM

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Total rated
390
Mean score
7.13
Std dev.
2.15

4,98 ~9,28
2,85~11,43


interesting
sounds about right, I do have a lot of 8, 9 and 10s
and I rarely give something beyond 4 unless I can't find anything positive or I find the show really bad, really interesting indeed
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Oct 1, 2018 12:44 PM

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GlennMagusHarvey said:
Related: https://www.reddit.com/r/anime/comments/7tkra3/finding_the_most_and_least_polarizing_anime_on_mal/

Also uses standard deviation, but on the scores for a specific anime not the scores given by a specific user.

I'm not sure I totally agree with the methodology, because "polarizing" implies a bimodal distribution that standard deviation alone doesn't necessarily cover (like, there's a difference between a scattered distribution and a bimodal distribution), but it's still interesting to read.
Thanks for the link fam. Interesting idea at the very least.
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Oct 1, 2018 12:44 PM

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abhutrash said:
Lanor-sama said:
Who cares if two thirds of MaL users rate in a 5* system....
Wait, what? You referring to a 5-star system? I didn't think MAL had that option...
Unless you mean that the majority of MAL scores only between 5-10. In that case, standard deviation would still give you results. You'd just have a low value.


It doesn't, some people just prefer to use this and goes for 1 - 5 or 5 to 10 like @romagia for example
"I'm alright, because
The warmth on my back
Is from you, protecting me
My bent heart is being straightened out
I feel like I can keep on walking when I see your face
That time, I was able to gather my wishes and jump up
because of your words of encouragement"

Hanamaru◎Andante - Pastel✽Palettes
 
Oct 1, 2018 12:46 PM

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Std Dev : 0.89
Mean score : 6.83
Total rated : 289
 
Oct 1, 2018 12:48 PM

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blumenbalt said:
abhutrash said:
Wait, what? You referring to a 5-star system? I didn't think MAL had that option...
Unless you mean that the majority of MAL scores only between 5-10. In that case, standard deviation would still give you results. You'd just have a low value.


It doesn't, some people just prefer to use this and goes for 1 - 5 or 5 to 10 like @romagia for example
Oh damn, I legit didn't know people do this. Interestingly, people using this system could find a comparative deviation by multiplying by 2. Not perfect math, and actual statisticians would shun me for suggesting something like that, but it'd do in a pinch.
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Oct 1, 2018 12:52 PM

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Aaaahhhh, Statistics, ahhhhhh, the class I barely passed. God help my soul.
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Oct 1, 2018 12:53 PM

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-Lofn- said:
Aaaahhhh, Statistics, ahhhhhh, the class I barely passed. God help my soul.
*insert Obama "Then perish." meme*
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Oct 1, 2018 12:53 PM

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abhutrash said:
Lanor-sama said:
Who cares if two thirds of MaL users rate in a 5* system....
Wait, what? You referring to a 5-star system? I didn't think MAL had that option...
Unless you mean that the majority of MAL scores only between 5-10. In that case, standard deviation would still give you results. You'd just have a low value.
I mean there are ppl who rate from 1-10 and there are dummies who rate 6-10 and they call it a 5 star system.
 
Oct 1, 2018 1:03 PM

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Mmm... Sweet and juicy statistics. Looks like I've a lack of 5s. I guess I only give those if I've like no opinion on the show whatsoever (which is pretty rare).

Total rated: 315, Mean score: 6.88, Std dev.: 1.77
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Oct 1, 2018 1:03 PM

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Standard Deviation: 1.87



I'd guess that ~2 is pretty normal SD for users that use the full scale.
 
Oct 1, 2018 1:07 PM

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Total rated
196
Mean score
5.47
Std dev.
1.84
Only says that I almost never use 1&10 score which is obvious to me and almost rate everything 4-7...
 
Oct 1, 2018 1:08 PM

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this is so pointless tho
i couldn't care less about my standard deviation or whatever the fuck
 
Oct 1, 2018 1:08 PM

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Looks pretty standard. The ~60 not rated are a bit distracting, though.
 
Oct 1, 2018 1:13 PM
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I could calmly use it as a staircase, although I never minded my average.
10 months without animu, and you?
 
Oct 1, 2018 1:14 PM

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Total rated : 374

Mean: 6.66

Std. Dev: 1.75

What does this mean anyway??? My score deviates an average of 1.75 from general ratings??? Or is it deviation in my own ratings??
 
Oct 1, 2018 1:15 PM

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I don't get what is the practical use of this.
If this is a way to compare my score with other users why should I care? Should I change my scoring system or what?
I have seen people give 1/10 to good shows just because they didn't liked some small detail and give 10/10 just because random shit suited they mood in that exact moment.

Why people should always compare to other people and trying to be like them? (Well maybe this is a good idea in sports...but here...)

Also why people should look at MAL Graph to learn what genres they like? How can they be unaware their own tastes, how absurd is this? (And this statistic is messed up because of the unweighted genre tags.)
 
Oct 1, 2018 1:15 PM
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I took math for IB and I still remember nothing about standard deviation. In all fairness, statistics wasn't a very large part of the course.

Could you check mine for me, please? I'm pretty busy anyways. I don't think my SD will be very high since I rate most of my shows 8 - 10.
 
Oct 1, 2018 1:32 PM

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Here's mine based on your range I'd guess the deviation is on the lower end.


Lanor-sama said:
abhutrash said:
Wait, what? You referring to a 5-star system? I didn't think MAL had that option...
Unless you mean that the majority of MAL scores only between 5-10. In that case, standard deviation would still give you results. You'd just have a low value.
I mean there are ppl who rate from 1-10 and there are dummies who rate 6-10 and they call it a 5 star system.

I mean 6-10 is a 5 star system, there are 5 numbers. 6, 7, 8, 9, 10.
Modified by GamerDLM, Oct 1, 2018 1:41 PM
 
Oct 1, 2018 1:32 PM

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I'm guessing my standard deviation would be 0
 
Oct 1, 2018 1:32 PM

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I see no problem on my end beside a couple things.
 
Oct 1, 2018 1:34 PM

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Hatred said:
this is so pointless tho
i couldn't care less about my standard deviation or whatever the fuck
alshu said:
I don't get what is the practical use of this.
If this is a way to compare my score with other users why should I care? Should I change my scoring system or what?
I have seen people give 1/10 to good shows just because they didn't liked some small detail and give 10/10 just because random shit suited they mood in that exact moment.

Why people should always compare to other people and trying to be like them? (Well maybe this is a good idea in sports...but here...)

Also why people should look at MAL Graph to learn what genres they like? How can they be unaware their own tastes, how absurd is this? (And this statistic is messed up because of the unweighted genre tags.)
Ah yes, because this thread is so much more pointless than the 30 threads about the same topics we've been discussing over and over on MAL. Cmon guys, it's just banter, no need to be pretentious buzzkills.
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Oct 1, 2018 1:34 PM

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Baka_phnx said:
Total rated : 374

Mean: 6.66

Std. Dev: 1.75

What does this mean anyway??? My score deviates an average of 1.75 from general ratings??? Or is it deviation in my own ratings??


It's a deviation in your own ratings. I don't know if there's a way of comparing your scores to the MAL scores besides doing it manually.
 
Oct 1, 2018 1:35 PM

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Standard deviation: 2.25



Here you have my stats, - do with those numbers whatever you please.
----------
 
Oct 1, 2018 1:46 PM

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changelog said:
I took math for IB and I still remember nothing about standard deviation. In all fairness, statistics wasn't a very large part of the course.

Could you check mine for me, please? I'm pretty busy anyways. I don't think my SD will be very high since I rate most of my shows 8 - 10.
Gotchu fam.
https://graph.anime.plus/changelog/ratings,anime
1.77 sounds about right. Surprised you don't have any 3s tho?
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Oct 1, 2018 1:59 PM

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abhutrash said:
Ah yes, because this thread is so much more pointless than the 30 threads about the same topics we've been discussing over and over on MAL.

I am not against the topic, just don't understand why you guys are using statistics on everything. Please explain!
Is standard deviation giving you some important new angle, demonstrating issues or something?
 
Oct 1, 2018 2:00 PM
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abhutrash said:
changelog said:
I took math for IB and I still remember nothing about standard deviation. In all fairness, statistics wasn't a very large part of the course.

Could you check mine for me, please? I'm pretty busy anyways. I don't think my SD will be very high since I rate most of my shows 8 - 10.
Gotchu fam.
https://graph.anime.plus/changelog/ratings,anime
1.77 sounds about right. Surprised you don't have any 3s tho?

Personally I rate shows on enjoyment, and enjoyment isn't something that you can measure that easily with number in my opinion. As you can see, most of my shows are rated 7 to 10 because I genuinely enjoyed the shows. I wouldn't really rate shows from 3 ~ 6 because it would suggestion that I didn't enjoy the show much and finished it anyways. I rarely do this, so if I do not like a show I usually drop it and rate on the lower ends of the spectrum.
 
Oct 1, 2018 2:13 PM

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alshu said:
abhutrash said:
Ah yes, because this thread is so much more pointless than the 30 threads about the same topics we've been discussing over and over on MAL.

I am not against the topic, just don't understand why you guys are using statistics on everything. Please explain!
Is standard deviation giving you some important new angle, demonstrating issues or something?


Personally I just find it interesting to see other users statistics and compare them. No particularly good use for the data comes to mind although I suppose it can show whether a user is a relatively erratic scorer or something.
 
Oct 1, 2018 2:28 PM

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alshu said:
abhutrash said:
Ah yes, because this thread is so much more pointless than the 30 threads about the same topics we've been discussing over and over on MAL.

I am not against the topic, just don't understand why you guys are using statistics on everything. Please explain!
Is standard deviation giving you some important new angle, demonstrating issues or something?
It's essentially just interesting. Often rating anime can be a passive process, since we all know our own systems and don't have to think too hard about what constitutes a 6 versus a 7. That said, everyone has a different way of looking at things. Stats like standard deviation and mean can give some insight as to how others view ratings, and I'm all about understanding the perspectives of others. Not because I feel I need to change my own perspective to match, rather it helps me understand them as a person.

Is there a practical use to data like this? Not necessarily. But there's not a practical use to a majority of general discussion you'd have in a casual environment. Not everything has to be meaningful; sometimes we just make conversation that piques our interest momentarily.
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Oct 1, 2018 2:40 PM

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My mean score is gradually on the rise since I'm more picky with the anime I watch nowadays.
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Oct 1, 2018 2:42 PM

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...okay, I take back my comment about user score distributions; they DO tend to be relatively normal-looking.

"normal" in this case being the specialized stats term.
 
Oct 1, 2018 2:44 PM

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GlennMagusHarvey said:
...okay, I take back my comment about user score distributions; they DO tend to be relatively normal-looking.

"normal" in this case being the specialized stats term.
Yeah, I'm surprised about this too.
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Oct 1, 2018 3:27 PM

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Jees, don't you have some more interesting stuff to do then this? Why everyone so obsessed with scores?
 
Oct 1, 2018 3:31 PM

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Posts: 4784
Total rated: 545
Mean score: 6.47
Std dev.: 1.66
Have fun with it. That number really not that important to me.
 
Oct 1, 2018 3:58 PM
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~4500 total rated
5.86 average score
1.55 standard deviation



now what?

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Oct 1, 2018 4:15 PM

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UrbanSpaceman said:
Jees, don't you have some more interesting stuff to do then this? Why everyone so obsessed with scores?
The answer is no; I was stuck at work ¯\_(ツ)_/¯
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Oct 1, 2018 4:25 PM

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I'm already learning this in college, and if you have low Std deviation, your data will be closer to your mean score. And it mean you're most likely to give a rating score to anime/manga closer to the your mean score in mal

So, if you have higher std deviation. You're usually give rating score much widely. For example. We take 3 anime to be rated. If your rated 3 of the anime with 5-5-5 or 7-7-7, your std deviation will be 0. But if your rated with 5-6-3, you'll have a std deviation number.

Thats all

 
Oct 1, 2018 4:37 PM

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Total Rated - 575
Mean Score - 7.08
S.D - 1.56

1 S.D. = 7.08 ± 1.56 = Scores between 5.52 and 8.64
2 S.D. = 7.08 ± (1.56 x 2) = Scores between 3.96 and 10.24


When rating I normally follow a method that I picked up on from playing a lot of fifa. All shows start at a 6 which is a rating that is neither good nor bad just a rating for shows that don't stand out. As the show progresses the number goes up or down based on what I believe it has done well/badly. As I normally only rate shows I finish and I am not afraid to drop shows if I dislike them enough it makes sense my lower deviation would be just between a 5-6. That was an interesting topic to think about
Modified by BIGMatthew182, Oct 1, 2018 4:52 PM
 
Oct 1, 2018 4:40 PM

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abhutrash said:

Overall, I’d estimate the average MAL standard deviation to be between 1.25 and 1.5. I’d also say deviations between 1 and 2 are reasonable and conductive to a good scoring system imho.

Mine is 1.05
Makes sense since my mean score is 6.85
Am I too nice?
 
Oct 1, 2018 4:54 PM

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Total rated: 514
Mean score: 5.58
Std Deviation: 1.77

1 S.D. = 5.58 ± 1.77, between 3.81 and 7.35, 375 or 73.0% of anime with 1 S.D.
2 S.D. = 5.58 ± 2(1.77), between 2.04 and 9.12, 488 or 94.9% of anime within 2 S.D.

abhutrash said:
Overall, I’d estimate the average MAL standard deviation to be between 1.25 and 1.5. I’d also say deviations between 1 and 2 are reasonable and conductive to a good scoring system imho. Hopefully this interests more people than just me and at the very least gives somebody a small math lesson for the day.
It probably is. Having numbers not too unreasonable will definitely make for a better scoring system.

Still though, I think mean score is still really important and S.D. cannot be full read without taking that into account. Don't mind me taking you as example, but your best rated anime is rated within 2 standard deviations of your mean. That means your upper range is not as wide as your lower range, which could mean you don't have much space to spread out the highly rated anime. In other words, it could be that your higher scores of 9 and 10 are not special enough to put anime that you feel are truly special to you.

Ranacchi said:
Mine is 1.05
Makes sense since my mean score is 6.85
Am I too nice?
A low standard deviation with a high mean could mean that you bump too many anime up from the lower ranges to a 6 and 7. Making those score ranges just a dumping ground for most anime. You can think of it being kind, but you can also think of it as cruelly lumping good anime with or near anime that should really be in a lower score range. I prefer to think of it as the latter.
Modified by BurningSpirit, Oct 1, 2018 5:22 PM
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Oct 1, 2018 5:12 PM

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UrbanSpaceman said:
Jees, don't you have some more interesting stuff to do then this? Why everyone so obsessed with scores?
Stats are fun.

abhutrash said:

Overall, I’d estimate the average MAL standard deviation to be between 1.25 and 1.5. I’d also say deviations between 1 and 2 are reasonable and conductive to a good scoring system imho.
What about standard deviations greater than 2?
 
Oct 1, 2018 5:15 PM

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My SD is 2.21. Makes sense. I have 118 anime rated as of this time. That's a small ass number so my 10s, 9s, 2s, and 1s have a larger effect on that calculation. At 500 shows, I expect to be entering the 1.xx SD simply because I'd probably have a lot more shows rated 4-7 compared to what what few shows I'd probably rate 10, 9, 2, and 1.

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Oct 1, 2018 5:16 PM
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Mean score 6.30
Std dev 1.45

what about me? I got no idea wtf this means.
 
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