Mathematical Thinking: Crash Course Statistics #2

[@tossedsalad6779]

im taking this next semester, and I’m watching this just to get an edge Lol

[@katakrapicz3730]

Same with me 😂😂

[@varana]

You're completely right, I _can't_ picture a distance of 40,000 ft in my head. And 7.5 miles don't help with that, either.

[@amber1862]

varana312 82,000 erect penises.

[@SlipperyTeeth]

It's about a meter.

[@funkysagancat3295]

yeah but 12,07 kilometers are easier

[@ArawnOfAnnwn]

7.5 miles can help with that since (at least in the US) it corresponds to how people measure transport distances. So just think of it as how long it takes you to drive that far at your typical speed (say, on the highway so that traffic doesn't muddy things up).

[@SlipperyTeeth]

Mendicant Bias He's saying it doesn't help because he isn't American. Imperial measurements suck.

[@purificationritual9950]

I wish they had a math CC series starting from algebra or the basics. Crash course is really good at explaining things in a level most people understand. Maybe explaining why formulas are the way they are as opposed to going through a bunch of problems, but dissecting a problem and explaining why we're taking what steps as they solve it.

[@khanyithegreat]

Can you use the metric system at least in brackets for international folks please.

[@danielpalagyi9307]

*for normal people

[@xkilla911]

i've only scrolled for a minute in the comment section and i can say with confidence that the statistics is that 99% of the comments are about no metric system

[@maresgoez]

Acording to statistics more people use the metric system than the imperial system. -T H E - M O R E - Y O U - K N O W -

[@secularmonk5176]

But not the important people ...

[@preid122o]

That's nice, this was produced in a region that uses imperial for people that use imperial. While I understand and applaud your efforts to further your own education through online lectures, the attitude you demonstrate is childish and you should be ashamed of your conduct. I personally do the conversions when operating outside of my normal system and would expect you to respectfully so the same.

[@Goldenblade14]

According to which statistics? And from where and why? The whole argument over which statistics are more and less valid come from examining their sources and uses. If you're speaking about how the United States and (correct me if I'm wrong) Malaysia are a couple of the only countries to routinely practice the imperial system as their main choice of measurement, then perhaps you could be right. Or maybe you mean that the metric system is more used than the imperial system as a result of its simplicity and understandable scale in the scientific community. However, one might argue that the imperial system was established as a result of the mathematical thinking discussed in this video, as miles are made to cover much longer distances overall than kilometers. While kilometers are the more traditional way of viewing things and more universally accepted, kilometers are relatively small in a mathematical sense for measuring large landmasses effectively. You'll learn in this series that just using "Acording to statistics" as you spell it is not sufficient enough of a resource to follow. Remember: statistics can be easily used to mislead in the proper (or perhaps improper) context.

[@milamber319]

+Goldenblade14 Wait what? you can survey your own statistics on this one. India and China both use metric and only the USA uses Imperial. There is no "perhaps" about it the USA only makes up ~4.3% of the worlds population. Even if you add a few minor nations and non standard individuals in officially SI countries your never going to even come close to a majority here. Statistically, more PEOPLE use Metric rather than Imperial. By a huuuuuge margin.

[@superagucova]

Not to be boring, but your sample is too broad, you should rather think of who views crash course statistics in the first place.

[@gutstallion]

Oh my gods, please use human metric system.

[@simonkraemer3725]

G. Stallion Yes! The rest of the world outside the US begging you for that!

[@robertmcgann5881]

Oh, you mean like cubits where the measure is based on the human body?

[@timothymclean]

Or feet! Which are based on human...feet.

[@Smico85]

Came here for this. Thank you. Being part of the DFTBA-universe, you guys should know better than to ignore the measurement system used by scientists throughout the world...

[@preid122o]

This was produced in a region that uses imperial for people that use imperial. While I understand and applaud your efforts to further your own education through online lectures, the attitude you demonstrate is childish and you should be ashamed of your conduct. I personally do the conversions when operating outside of my normal system and would expect you to respectfully so the same.

[@arnavchauhan3476]

I feel Mathematical Thinking requires and deserves an entire series of it's own! Please consider the idea. I'm sure it would be a big hit.

[@gardenhead92]

I get my exercise running away from snakes. Kill two birds with one stone

[@stevieinselby]

Why not kill the snake with the stone, leave the birds alone, and then you won't need to run away?

[@stza16]

If you kill the birds, you leave food for the snake.

[@pancakespaceprogram4059]

You can literally do that - if the rock is big enough

[@anymaths]

watch my maths videos.

[@MJAY-N7129]

Hahah, this comment is great.

[@disorganizedorg]

The ability to make a comment on KZbin is by no means an indication of literacy.

[@Daruqe]

Yes it is.

[@robertofontiglia4148]

Chalk it up to wishful thinking.

[@peteaskme8926]

That depends on your definition is literacy... The ability to read and write? Or the ability to read and write in a collegiate level arena? Elitism is, by the way, a toxicity I enjoy squashing. Have a lovely day!

[@Zer0_Flowers]

Yup, you’re right

[@sjchsbc]

Please. Use. Metric. System.

[@preid122o]

This was produced in a region that uses imperial for people that use imperial. While I understand and applaud your efforts to further your own education through online lectures, the attitude you demonstrate is childish and you should be ashamed of your conduct. I personally do the conversions when operating outside of my normal system and would expect you to respectfully so the same.

[@jacobschmidt]

But mah murica

[@whiteflagstoo]

40,230 ft = 12.26 km

[@fabreeze]

+1

[@Luxalpa]

preid122o, using the imperial system is childish as it has no scientific value.

[@benaaronmusic]

Still, my parents insist on buying lottery tickets. "If you don't play, you can't win" - Dad. Oy vey.

[@joaofortunato2072]

Great video and an awesome explanation of how understanding mathematics help us visualize the world better. But, my god, please, could you at least put a conversion to the Metric System on the animations?

[@Kriegerdammerung]

I would suggest to deprive the videos of the imperial system altogether

[@akankshaandadityasingh9888]

Kriegerdammerung when I said America I meant USA not the continents

[@Kriegerdammerung]

That is ill advised

[@sapturnus]

If you need to choose the dumbest thing on Earth that'd be the Imperial closely followed by Trump.

[@JoaoBenoSchreinerJunior]

Please put metric values together with the imperial ones... Cheers from Brazil! \0/

[@YSOFTWARE]

Please!

[@sapturnus]

Metric!

[@SaadMohammedGhori]

Or you could just Google it

[@JoaoBenoSchreinerJunior]

Saad Ghori the problem is that will ruin the experience... Pause every time I see an imperial number to convert it so I can understand it...

[@SaadMohammedGhori]

João Beno Schreiner Junior good point

[@EpsilonEridani_]

(6:41) Note to self -- return to this video on May 2nd, 2:23 and 33 seconds PM, 2021... less than a year left before that hedgehog sneezes

[@joshuamesnier1955]

Is that shelf in the background a normal probability distribution?

[@robertofontiglia4148]

A representation of it, but it's not exactly a normal curve. You can tell, because there are straight line segments in there, which shouldn't be there if it was actually a gaussian curve.

[@all-in-all929]

t distribution maybe.

[@gonzaloparadelo]

Please try to not make this series so US centric, you get views from all over the world.

[@user-iu1xg6jv6e]

Americans don't know that there are people living outside USA.

[@culwin]

Statistics has nothing to do with geographic location.

[@Coldkill3]

Perhaps the rest of the world should release a similar series...

[@stza16]

There is nothing wrong with being US centric. More of the world should learn about America.

[@GapWim]

C-Sharp | Indeed, and most of those don't use imperial measurements anymore. If you say the Kola borehole is 7.5 miles deep ... that hardly means anything to me.

[@Mallory-Malkovich]

"Stay out of sand holes." This is what I learned today.

[@Roll587]

As a computational social scientist, I'm loving that crash course is covering statistics and sociology.

[@superagucova]

What about computer science too? :D

[@TheR971]

Computational science usually contains more math than computer science.

[@Roll587]

Agustín Covarrubias Also great, but has less to do with my current work.

[@harvibally]

Roman Riesen what do you mean? As a computer science major i have had to study discrete mathematics, number theory, calculus, statistics and graph theory.

[@sahil-le5rm]

There is small request ,you have posted engineering and statistics but not mathematics. Please make mathematics videos for mathematics lovers

[@banananerd5846]

I don't like to complain but yeah... metrics would be nice

[@pranjalmittal8430]

That story about Abraham gave me goosebumps, Incredible genius !

[@TheR971]

"Mathematical Thinking": Uses imperial units...

[@AvgJane19]

Roman Riesen correlation?

[@Friek555]

Math doesn't have measurement units at all.

[@stza16]

So you think imperial units cannot be used mathematically?

[@sapturnus]

Nope! Mathematics is science, science by definition is metric.

[@TheR971]

Of course they can! But if you have any desire for coherence, use metric.

[@akankshaandadityasingh9888]

Well, the number of internet users in america is 290 million. the number of internet users in the world are 3.58 billion. Thus the probability of someone watching this video and using the non metric imperial units is 1 in 114. using miles is injustice to 113 in 114 viewers

[@akankshaandadityasingh9888]

From India!

[@balamstudios]

not exactly, most of America uses metric. The only country in America that doesnt uses it is USA

[@akankshaandadityasingh9888]

balamstudios when I said america I meant USA not the continents

[@stza16]

Everyone here in Canada understands both systems. I don't understand why everyone is whining about it.

[@akankshaandadityasingh9888]

+drz because every one in India doesn't

[@greydcb]

I never comment on CC videos, but this video I just LOVED. Keep up the amazing work, and thank you for educating the world!

[@mairinarsenault4024]

i don't care about math i want her skincare routine.

[@atozed.photography]

Snakes are venomous, not poisonous. Carry on.

[@makaylacorrell9760]

Came to the comments for this lmao

[@akke_pakke7125]

I think this is as close as we can get to Crash Course: Maths

[@McRaylie]

*Math ;)

[@superagucova]

or to Crash Course: Algebra; Calculus; Arithmetics....

[@OrcinusDrake]

What would crash course arithmetic be? I don't think there's much content there unless you aim the content at a much younger audience? OP: Maths is too large a topic to just discuss so they're probably splitting it up into bite size subjects

[@gareththompson2708]

McRaylie, it's a dialect thing. "Maths" is correct if you're speaking British English. "Math" is correct if you are speaking American English.

[@noxiteprova8878]

Please use metric!!!

[@deriamis]

Speaking of Thinking Mathematically, the textbook of the same name by Robert Blitzer is absolutely amazing for learning “useful” mathematics and developing numeracy. We used it in a class I took for my degree. I’ve even seen it help people who have a genuine fear of basic mathematics. I can’t recommend it enough.

[@Je.rone_]

I've watched this series like 3 times but it's enjoyable

[@Felipe.N.Martins]

Use, S.I., PLEASE!

[@NCPolinomial]

Really looking forward to the episode(s) covering Bayes' Theorem.

[@Laura-qp9iw]

There is a chom-chom in this video

[@sapturnus]

True!

[@gherardacerone4188]

true

[@ArawnOfAnnwn]

Someone posted a decent-sized comment here earlier about how 'mathematical thinking' is actually about seeing (effectively) advanced math in the everyday world (such as 'casually' i.e. as automatic practice picturing the differential equations of flow in a waterfall or graphing the algorithms of revenue for your store - to list a couple of his examples) rather than just getting a sense of scale for numbers. He's since deleted his comment (before I finished my reply, so I couldn't post it), but as I expect this series is likely to get a bunch of CC Math enthusiasts who're probably gonna be disappointed by the 'less-than-advanced' topics that I expect this series to cover, here's my response to that (and the sentiment behind it applies to anyone here who wishes for much more advanced topics, especially more math-heavy ones, to be covered in this series) - "That's more like mathematical thinking for mathematicians, not what most people refer to when they talk of making mathematical thinking more widespread in the general population (such as, say, by emphasizing it more in schools). This is CC Stats, not CC Maths. And it's aimed at general audiences and, more than that, meant to promote sound citizenship, not budding experts in algebraic geometry. Even most scientists don't argue for that level of thinking to be widespread, because it's simply unnecessary. The only argument I know of for pushing that agenda might be Feynmans' claim that it enhances our appreciation of the world - and 'spreading beauty' is hardly a priority for policy, especially given that most people seem quite content with much simpler forms of aesthetic appreciation. 'General' (if you like) mathematical thinking is certainly about "viewing the world through a certain lens--a lens governed by logic", however, that lens doesn't typically feature any differential equations, complex algorithms or linear programming - just a sense for perspective, scale and comparability. It's meant to be easily accessible (much like this course), not esoteric."

[@natkatmac]

I never saw that post. But yes, it's called Crash Course for a reason. Most people can't and don't want to learn differential equations or heart surgery in a day. But a 10-minute video covering how to put odds in perspective, or how badass Ghengis Khan was, or how to identify life's Skinner boxes? I'll take that any day.

[@juliaasyasisters7691]

Omg my fav series😍

[@abramthiessen8749]

Nice opening. I am happy that this series is off to a good start. Besides the use of antiquated systems of units.

[@briannagettys541]

when u got a final exam tomorrow and ur watching this so u don't fail

[@leeroyjenkins3065]

lostbabybre ' me binging all of these before my midterm

[@tonyjoe7404]

,😂😂😂

[@DreamingCimderella]

As a Bulgarian that example was unexpected! Quite funny, we are famous now.

[@tejask6034]

Just posting my notes of whatever I could remember after seeing the video once. Making this a study habit - watch the full video and note what you recollect. Can be used as reference. Will be doing this for every video. Feedback appreciated. ---------------------------------------------------------------------------------------------------- Course 2: Mathematical Thinking Mathematical thinking helps us see the world for what it is and verify our gut feeling There is more a chance of dying while falling from a ladder than being bitten by rattlesnake It helps us weigh the odds properly and accordingly direct our efforts There's a law of large numbers- where seemingly improbable things become common occurrences due to the sheer volume of the data e.g. repeating of lottery numbers in consecutive weeks All this and more constitutes mathematical thinking which helps us make sense of the world around us and go beyond our gut feel

[@Scerttle]

Great, I'm older than a billion seconds. Thanks for that.

[@shrimpwd]

Adriene, you're one in a million! (Do you happen to know any of the other ~8000 of you?)

[@Colaris99]

I've have always figured that some people have mathematical brains and some do not.

[@ilseawesomeness9828]

Already love this series

[@samd3764]

I thought when Adriene started talking about the fighter jets, she'll mention survivorship bias. Will it be mentioned in a later episode on statistical fallacies? Also, this course is going really good!

[@XRaym]

All is question of exposure : sure, compared to all the deaths in US, dying from lightning strike is rare, but if you stand in the forest on a raining day under a metallic umbrella, you will definitely increase your chance.

[@banananerd5846]

I don't like to complain but yeah... metrics would be nice

[@nicolae8627]

i'm not into numbers at all like i tend to just zone out when i hear numbers just thrown into a sentence and then i get confused or stressed (obviously i cant stand math) but.... this video was definitely interesting and i did not zone out for one second. super informative and helpful! i'm currently struggling in a class teaching SPSS for Research Methods and i didn't have much background in stats (i forgot about it honestly) so thank you so much! will continue watching this series :)

[@KandiQTC]

Yes, yes I am watching this and I'm over a billion seconds old. Thanks for zing! LOL Didn't hurt AT ALL. XD

[@dillon1012]

Statistically, considering the previous episodes were great, i can say with relative certainty that ill like the rest.

[@jamesclark1001]

The day I watch this we have a guy killed in a sand hole collapse in my county.

[@BrianHutzellMusic]

1:02 ...or a COVID-19 outbreak (writing from 2020, amidst quarantines, cancellations, and closures)

[@kingjonstarkgeryan8573]

Funny how apparently Europeans can't be bothered to look up the conversion from Imperial to Metric but expect Americans to know or learn metric.

[@anthonyrandell]

I'm a huge fan of Crash Course and I've been looking forward to Statistics for a long time. This video in particular captures so much of what the world and individuals alike need to know to tackle problems and I feel it does a fair job of putting numbers into context. HOWEVER; This episode was very noticeably American-centric (and not just the lack of metric units). Statistically, your view demographics may be largely American, but it's a self-fulfilling prophecy. Firstly, you alienate the rest of the world. Secondly, if American audiences are only exposed to content tailored to the American psyche, Americans will make conclusions about the world based on their American experiences without realizing that less than 5% of people on Earth are American. If all content they've ever known was either American or a direct comparison of America to something else, you lose so much of the context that is so important to understanding statistics. This video's bias sits as a counter to the whole point of the video. Please keep this in mind going forward.

[@reysvignette]

i love crash course. I love statistics/ I love the people who take time to make this. wow

[@kanishkashah9958]

wait but did the hedgehog sneeze at that time

[@PivaConsultoriaEducacional]

Graet Job! Congratulations from Brazil!

[@batman2385]

So this is Sherlock Holmes type of stuff, I can be him. 😀 Yes! I will do so much things

[@josie955]

Bat Man if you're interested in sherlock holmes' deduction skills, you should look up how to read body language! It's super interesting!

[@rfpeace]

Hmmm, speaking of terrorists what's the chances that terrorist that wants to kill me isn't from one of those countries currently on the banned list? Furthermore, what are the odds the terrorist(s) that want to get into the US and kill me are NOT Muslims? Better yet maybe we should all just keep our political views to ourselves and use neutral examples for demonstrating lessons? cheers

[@faba8343]

Who is here during COVID and applying all this to how likely you are to die from COVID LOL

[@erikziak1249]

I have no intuition on what feet or miles are. Could you PLEASE make the videos display both metric and your system?

[@stza16]

You don't know your height in feet?

[@erikziak1249]

drz No I don't know my height in feet.

[@Joeviocoe]

I think mention of circumstance increasing or decreasing probability is warranted. It is often misleading to tell someone they have an X probability of getting bitten by a poisonous snake, when they live in a place with many poisonous snakes, and go hiking every day. The average probability is very skewed by the billions of people living in and around cities which have all but destroyed natural snake habitats. The same is true for all sorts of other risks. The average is skewed by circumstance.

[@Scorpionwacom]

Sorry, I’m from Europe and feet and miles aren’t easy to comprehend for me (probably for some other viewers as well). Just tell me that it’s about 12 kilometres deep-much better.

[@stevieinselby]

That's kind of the point, though. If you find miles easier to comprehend than feet then convert it to miles. If you find kilometres easier to comprehend then convert it to kilometres. It's still 1.25×10^(-12) light years, whatever measurement system you use, so choose the one that works for you. None of the information in this video really needs you to understand the units, other than to be aware that miles measure distance - it isn't about how deep the borehole is, but about how you interpret and visualise that depth.

[@balamstudios]

use international metric system

[@trango786]

Crash courses are really really great. I watch them with my kids in Pakistan. The only PROBLEM. everyone speaks super fast and it becomes difficult to process information. Please add a speed control button like in most KZbin videos. Many thanks.

[@rickt1866]

2:42 Thanks Obama

[@jamesbrowne1004]

I'm excited that you are putting this out there. It's been an interest of mine and it's all too often that I've had a hard time explaining this process of making decisions. I've used that airplane armor since reading an account written in the early 60s. So, here's my understanding of that version. 1. The background film clips are correct, they were bombers and bomber crews that they were discussing, not fighters and not just pilots. 2. At that altitude it was mostly damage from flack shrapnel, with only a few bullet holes from fighters. 3. It was a lowly pilot on a committee of generals and other high ranking brass who pointed out the flaw in the thinking and had the statistician brought in to answer the question. Having flown through the flack barrages and after seeing how his friends were killed and injured, the correct answer had become intuitive to him, if not to the brass.

[@rich_watched_something]

@4.40ish - exponents are a useful way of understanding large numbers, promoting understanding of exponents rather than writing them off as misleading might be a better way of teaching statistics?

[@SuviTuuliAllan]

I'm 32. Wow! That's like someone suddenly saying your name in a crowded shopping centre.

[@josie955]

Now, tell me how likely it is that someone refers to your age in a youtube video in comparison to someone saying your name in a shopping centre

[@SuviTuuliAllan]

Josie oh idk it depends… where is this shopping centre? is it human KZbin or alien?

[@josie955]

Suvi-Tuuli Allan Oh and: how much time do you spend on youtube watching videos and in a crowded shopping centre, how common is your name and how often do people mention the number 32 in relation to someone's age, how many people are in the shopping centre and how many are close enough that you can hear them....

[@joshua_tobler]

Must have MOAR!!! Are we going to do data analytics? I could really use some of that data analytics.

[@bruntchieftain1319]

0:45 “THE NUMBERS MASON! WHAT DO THEY MEAN?”

[@branstorm]

6:39 did the hedgehog sneezed?

[@kevindetolli]

Is there any web site where we can look for statistcs like the ones in the video? Like the chance to die by a bee bite and much much more.

[@sjg9887]

She´s the best

[@elmurdoc]

So you're telling me there's a chance :)

[@nickc3657]

I love the show, thank you!

[@MarkFreedmanNY]

I’m sure glad I won’t die from Ebola... but COVID19 is a whole other question.

[@CommandoMaster]

Stats make the world go round.

[@RD743033]

I love the book references! How Not to Be Wrong: The Power of Mathematical Thinking and The Improbability Principle were great books!

[@imaytag]

Decent start. Looking forward to more. Like how they use so many examples though I kind of hated the news desk thing. That was a really interesting story but the way it was told kind of ruined it :P

[@lilolebob]

5:12 Damn, all these years I've been playing 4 8 15 16 23 42. So close.

[@alkydah6741]

As someone who recently discovered this series and am thoroughly enjoying it: it seems that approx. 98% of the commenters here use the metric system. But, as someone who watches wayyyy too much American politics on TV: "it's a sad commentary on our lives that only 2% of all KZbinrs know how to measure anything at all." Yours Truly, Kellyanne Conway. ;)

[@bobpeterson675]

Does this playlist help with AP Statistics? I’m taking it next year and wondering if I should use this to help

[@bntagkas]

there will be massive medical breakthroughs, aubrey degrey is working on it plus others are too, and he says if you are under 40 you have good chance of living to 1000+ years sounds crazy, but the single biggest thing that can make sure something happens, is if alot smart people with good funding are working on it..and they are

[@hannahc3317]

Nice to know my chances of winning the lottery are the same as dying from ebola.

[@ArjunTheCreator8]

I bet that hedgehog did actually sneeze in 2021 because of Covid. Did Adrienne predict Covid? Hmmm!

[@bim-ska-la-bim4433]

Awesome...C Course rocks

[@MKWKezer]

Man. You make it sound like mathematics is only about numbers. And I'm sure 99% of our society believe that is the case. But please. It is not. It really isn't.

[@connerfields4753]

I think this will be a good course. Hank and John should tag team history of Sci.

[@JohnCF]

It was a super-great video... Except for the News part. If you had said that story in your normal tone, it would have been a lot more impactful, imo.

[@jbz3]

When this comment was written, the channel has 7.140642*10^6 subscribers, and the video has over 5.0831*10^4 views, with roughly 2*10^3 likes

[@BangMaster96]

Did you know that most people will believe any statistics without proper understanding and research.

[@Kalaphant]

4:00 I wish I could be actually surprised during that segment, but I already calculated 32 years * 1000 XD

[@johnnyswatts]

Folks, please realise this is made by people from the US for people from the US. And you're already on the internet - if you don't know the conversion factor (~3ft/m, 1.6km/mile) then google it! Lazy ingrates.

[@vernolee6062]

Urop viewer here. 1 foot - 30 cm, 1 mile - 1.6 km. Stop complaining THAT MUCH. Also I'd (not) like to see a world where US gov is like 'Chances to die from Ebola are 1 in bizillion. No need to throw money there'

[@BertGrink]

so i'm 2 billion seconds old... interesting i guess

[@facitenonvictimarum]

Animal bite statistics vary depending on whether you live or visit where they live. Like how many people in Kansas are killed by great white sharks.

[@Catlandian]

40,230 FT = 12.26 KM. There you go, stop complaining about it not being in metric. Easy way to think about 1 mile = to about a one and a half km, its closer to 1.6 but its a bit easier to think 1.5 for easy multiplication.

[@smokeyjoewalker208]

Am I wrong thinking the number of ticket buyers in a given typical lottery (State, Powerball, etc.) DOES NOT aid chances of winning? 🤔

[@Ed-quadF]

Guess those 16 people who died in the San Bernardino terrorist attack in 2015, didn't have much chance of...dying.