Accuracy vs PRECISION 🎯 College Math & Science

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Every college science class requires this: Understand 𝘼𝙘𝙘𝙪𝙧𝙖𝙘𝙮 𝙫𝙨. 𝙋𝙧𝙚𝙘𝙞𝙨𝙞𝙤𝙣. Sign up for courses at www.socratica.com
🎓 You know how you spend the first few weeks of every course (Chemistry, Biology, Physics, Geology, Engineering) reviewing the same math topics? Accuracy vs Precision; Significant Figures; Scientific Notation, etc.?
This series of videos will help you with the Math Prerequisites you'll need for pretty much every science & engineering course you'll take in college.
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In this video, we'll make it CLEAR: what's the difference between ACCURACY and PRECISION? They're related, but distinct ideas.
It helps to visualize a dart board.
🎯 ACCURACY = how close your darts are to the target.
📊 PRECISION = how close your darts are to each other.
Another way to think about PRECISION is when you use a tool to make measurements. The finer the markings, the more PRECISE it is. So a ruler marked in centimeters is less precise than a ruler marked in tenths of centimeters. The more precise the measurement, the more certain you can be that measurements will be close to each other.
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Written and Produced by Kimberly Hatch Harrison
Edited by Megi Shuke
#Math #Accuracy #Precision

Опубликовано:

27 сен 2024

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Комментарии : 18

@Socratica 10 месяцев назад

We're building a new series of all the useful math lessons everyone needs to know before beginning science & engineering courses. Topics include: Precision vs Accuracy; Scientific Notation; Significant Figures; Mean & Standard Deviation, etc. etc.! Which are the "Math Prereq" lessons you think we should include?

@tsalVlog 10 месяцев назад

I would think if you have Mean / Standard Deviation as a topic, a good real world example of what an average truly is might help there. Also, I wouldn't have gotten where I am as a software engineer without understanding logarithms, binary radix and other bases.

@Socratica 10 месяцев назад

@@tsalVlog Great examples!! Thanks so much for your input. We love to hear what you found truly useful (as opposed to just what is always taught because of tradition).

@AESMatias 10 месяцев назад

I really love Socratica, thanks you guys 💌

@Socratica 10 месяцев назад

We're so glad you're here!! 💜🦉

@ShieldAre 10 месяцев назад

Another way to understand accuracy vs. precision: If you have a good ruler and are careful, you can probably get measurements that have millimetre precision. So your ruler, used by you, is precise. But none of your results will be particularly accurate if your ruler itself has an inaccurate scale and for example always shows everything as 10% longer than it really is. If you're in a system using only that ruler (e.g. measuring your door frame with the ruler, then using that ruler when sawing wood for the door) as the scale, it isn't that bad, but it becomes especially troubling if you're making something for someone else who has a different ruler whose scale might be different from yours. That is why in metrology, an important topic is traceability, which is the idea that all your measurement devices are calibrated using some object, and that object itself has been calibrated by some other object, and so on, going back all the way to the fundamental realization of the unit. In the case of a ruler, a metrology laboratory creates a very accurate metre based on the SI definition, this is used to create objects whose length is known very accurately, and those objects can be used to create more objects whose length is known accurately, and down the line your ruler has been created using one of those accurate objects, making your ruler also accurate. If you're making something for someone else, but both your rulers are traceable in this way, then everything should be fine. Along the way, some uncertainty in the accuracy will accumulate because the calibrations themselves are never 100% accurate, but this is different from uncertainty related to the precision.

@Socratica 10 месяцев назад

Fascinating details!! Copies of copies of copies - have you ever seen one of those official objects for measurement standards?

@ShieldAre 10 месяцев назад

@@SocraticaYes. The chain consists of calibrations of objects and instruments. I worked for a national metrology institute (NMI) and saw the iodine-stabilized laser used for realizing the metre at very high accuracy. One step below in the chain, this was used to calibrate a very accurate diffractometer, which was then used to calibrate a 1D grating (a silicon sample on which is etched a repeating pattern of parallel peaks and valleys, with the distance between peaks on average very accurately always the same), which could then be used to calibrate the scale of a microscope. So the chain here from bottom to top was microscope -> grating -> diffractometer -> laser -> SI definition of metre. Not a very long chain, so I was working with very accurate things. But actually, the chain usually isn't particularly long, I think a company making rulers would probably get their reference object directly from a NMI. Something one should ask themselves every now and then when working with some instrument is whether the instrument has been calibrated, and if that calibration has traceability. There was a study where several scanning electron microscopes (which have very high resolution) from different organisations measured the same object, and that showed over 20% scale error in some of them. So it was like having a ruler that shows you 120 cm when you really have 100 cm, not very accurate. The difference between resolution and accuracy is important to understand. It doesn't necessarily have to go all the way to a NMI, however. For example, the lattice constant of silicon is one official secondary method for realizing length in the SI system. Basically, you measure the distance between two silicon atoms/atomic layers in a crystal, and correct your scale by assuming that this length is what the lattice constant is known to be. I would imagine for measurements that don't need to be extremely accurate, you can find similar (possibly unofficial) ways to calibrate an instrument. And of course, these things don't apply just to length, but also time, mass, or any other fundamental unit etc.

@Insightfill 10 месяцев назад

This also brings up "significant figures" in measurements, and especially the cumulative effect of multiple measurements combining. While using that hammer to measure things up to several hammers' in length is adequate, things get worse when you get out to dozens of hammers, or when you multiply them to get area. Is there a Socratica video on this? More lemonade examples! (30 gallons of lemonade, one teaspoon at a time.) 8:39 Ah, it briefly comes up in "measure of precision." More of this!

@Socratica 10 месяцев назад

YES! These are such important ideas.

@lionhuc2300 9 месяцев назад

Do you accept USD sponsorship? Hope you can update more videos like abstract algebra class

@lionhuc2300 9 месяцев назад

Please leave your wallet address

@Socratica 9 месяцев назад

Goodness, you are so kind. We do have a few ways people can sponsor our work: Patreon: www.patreon.com/socratica Paypal: www.paypal.me/socratica Bitcoin: bc1qda47tgfyk67lxa7yqn8y5m02hjcglghsd5c58n We do have plans to continue Abstract Algebra (a few videos are in the works) and other math classes this coming year! Thank you so much for watching and your kind interest. 💜🦉

@Kangro01 7 месяцев назад

#learnmore

@kirbymarchbarcena 10 месяцев назад

One thing's for sure, I never hit the bull's eye without luck

@Socratica 10 месяцев назад

Ahhhh we forgot to include the luck section!! Next time! 💜🦉

@rickhale4348 10 месяцев назад

If mathematics allows participants to have different answers when there should only be one then it's not math. Math and the sciences should not be an opinion with no wrong answers.