Thank you very much! It helped me understand why in research studies (In the sports science field) the investigators use the term "mean" and not "average" (or arythmetic median). Just one doubt: so far, I've read numerous research papers and in no one I could see the use of "arythmetic median" (or average). Do you know why they don't use it? Once again, thank you for such clear explanation :)
I am glad that you liked it. It is statistical error to apply the average of a group of data points to a single point and assume it to be true. To answer your question, well terminologies are often misleading. The term average is used just to make a sense when you find something like a middle point..... Arithmetic mean is something very technical..... You ask someone what is that 😊😊 You need to know what is a mean then arithmetic or geometric mean. Words are misleading and especially in mathematics. We really don't care about what we say. Specifically it is arithmetic mean, generally average just like the way we day gravity causes space-time to bend. You go deep and then find stress , energy, momentum ...... Lot of factors.... I will be soon making a video ina similar line on calculus..... Misconceptions...... Also taking an average of averages is wrong.
5:23 how is 300 the median, shouldn't you first reorder the list in ascending or descending order first. If you don't reorder the list and assuming that you can enter the data in any order would it not mean that all values are median
Ah !!!! Thanks a lot. This video still has some small errors. I am very happy that you liked it. Please do subscribe and like as I will post more interesting videos. Just to tell you that I am coming up with a new website on this channel and other articles and features. I am happy that you liked it.
Did I miss something? When was the difference between Average and Mean mentioned? Why did he start going off topic and started talking about Median? Very confusing.
@@physicsforstudents same confusion I have, I cam here to understand the difference between mean and average and title also says the same, however, you explained median vs average.
Thanks for the session. Seems like you just explained the difference between Mean and Median not the difference between Average and Mean. I think Mean and Average are same in Mathematics. Mean is mainly used in statistics. That's the only difference. Please correct me if I am wrong. Thanks
@4:11 Why do you calculate the arithmetic mean 4360 and then call it wrong? Isn't there a *condition* that is required in order to determine even before calculating an arithmetic mean whether or not it will be useful information? Does it even make sense to calculate an arithmetic mean of salaries? [A] Yes, because only then can we determine if it is useful or not. [B] Yes, because people sometimes share their salaries. [C] No, because redistribution does not make sense. [D] Yes, because we can look at outliers. [E] Yes, because my teacher calculates the arithmetic mean of class grades, therefore it must be right to calculate an arithmetic mean of salaries. Which is the only correct choice?
I showed it wrong just to demonstrate that we need to deal with the outliers also. So, wrong in the sense that, that is not the way we should calculate. However, I would also like to tell that there is a mistake in the arrangement which should have been done. I hope that the basic objective is clear.
@@physicsforstudents Far from clear. My question to you is: "Can one know whether calculating an arithmetic mean will be useful or not - before calculating it?" Yes or No? Imagine needing a supercomputer to compute an arithmetic mean of a very large set of data which can take several years. Wouldn't it be good to know if the effort is worth it or not? Can we know? If there are outliers, why would we even care about them? Which would be your choice out of [A] - [E] ?
@@physicsforstudents But if it's [A] and we have a very large set of data, we might waste computing resources and also a lot of time just to discover that the arithmetic mean is useless because of an outlier or whatever else the reason. * Can one know calculating the arithmetic mean whether it will be useful of not? *
Sir, then what about terms like Moving Average, Running average, Weighted Average, Simple Moving Average, Weighted Morning Average, Exponential Moving Average etc?
@@physicsforstudents Sir, that video is clear ... 1. In mathematics there is no word like Average. It is MEAN. 2. For symmetrical data we use mean. 3. But in case of non symmetrical (non normalized) data we use median. Median nullify the impacts of outliers. So, my question is if there is nothing like Average in Maths then why can't we replace the word average from SMA, EMA and Weighted Average etc?
I think you misunderstood the idea. I am not saying that there is nothing called average. We should not use the word average, in a very casual manner. In general whenever we want to calculate the middle position of something, we say that we take the average. The whole point of the video is to make people understand that average should be used precisely, as we use mean. If we just use the word average then the calcukustins would be wrong. SMA , Ema are all specifical calculations... So, no problem..... I would also like to tell you that today I am publishing a very important video: "How To Answer Interview Questions For A Mathematics Teaching Job." It contains very important questions and answers which are very important for a job. Please watch it out.
![Application of Mean, Median and Mode [In Real Life] [Uses in Real Life]](http://i.ytimg.com/vi/EQm2UjxpDN8/mqdefault.jpg)
Thank you very much! It helped me understand why in research studies (In the sports science field) the investigators use the term "mean" and not "average" (or arythmetic median). Just one doubt: so far, I've read numerous research papers and in no one I could see the use of "arythmetic median" (or average). Do you know why they don't use it? Once again, thank you for such clear explanation :)
I am glad that you liked it.
It is statistical error to apply the average of a group of data points to a single point and assume it to be true.
To answer your question, well terminologies are often misleading. The term average is used just to make a sense when you find something like a middle point..... Arithmetic mean is something very technical..... You ask someone what is that 😊😊
You need to know what is a mean then arithmetic or geometric mean. Words are misleading and especially in mathematics. We really don't care about what we say. Specifically it is arithmetic mean, generally average just like the way we day gravity causes space-time to bend. You go deep and then find stress , energy, momentum ...... Lot of factors....
I will be soon making a video ina similar line on calculus..... Misconceptions......
Also taking an average of averages is wrong.
@@physicsforstudents Thank you once again, I appreciate your work
5:23 how is 300 the median, shouldn't you first reorder the list in ascending or descending order first.
If you don't reorder the list and assuming that you can enter the data in any order would it not mean that all values are median
You are right. I will make the necessary corrections. Thank you for pointing out.
Why did you not post this in 2017? I would secure good marks in my Statistics paper. Though I passed.
Very well explained!
Ah !!!! Thanks a lot. This video still has some small errors. I am very happy that you liked it. Please do subscribe and like as I will post more interesting videos. Just to tell you that I am coming up with a new website on this channel and other articles and features. I am happy that you liked it.
Thank you! Can I ask you why do you use 2 when finding the median? 7/2...
So, for non-normal distribution, you take the median and just PRETEND it's the average?
I need to look into it. If there is an error, I will correct it.
5:22, I believe the + needs to be replaced with commas, since adding them all up then dividing by 5 sums with 3460.
Yes. You are right. Thanks for the correction.
Summary : Average (English Term) = Arithmetic Mean (Mathematical Term)
Wonderful!! Well said....
fantastic -- I came to this video to know the difference between these two terms but in the comments, I got the answer.. Thank you
Thank you for watching this video. What answer you got in the comment.
@@chidambarammalladi8225 same as
Sir 300,400,500,600,20k aren't we need to first ascend them and then 5/2=2+(1)=3rd
Which is 500 🤔 ??? At around
@5:00 minutes in the video ...
Yes, that is true. I need to rectify the mistake. Thank you for watching and pointing it out.
@@physicsforstudents Thnx though for cleaning doubts.. 🙏it was nice to clear concept
@@yoglo2 Yes, I think more or less the idea that I wanted to convey is clear. Sorry for the mistake.
Did I miss something? When was the difference between Average and Mean mentioned? Why did he start going off topic and started talking about Median? Very confusing.
What is confusing?
@@physicsforstudents same confusion I have, I cam here to understand the difference between mean and average and title also says the same, however, you explained median vs average.
@@anilstockeducator9363 Apologies.
Thanks for the session. Seems like you just explained the difference between Mean and Median not the difference between Average and Mean.
I think Mean and Average are same in Mathematics. Mean is mainly used in statistics. That's the only difference.
Please correct me if I am wrong.
Thanks
You are absolutely right. Thank you for the comment.
@4:11 Why do you calculate the arithmetic mean 4360 and then call it wrong?
Isn't there a *condition* that is required in order to determine even before calculating an arithmetic mean whether or not it will be useful information?
Does it even make sense to calculate an arithmetic mean of salaries?
[A] Yes, because only then can we determine if it is useful or not.
[B] Yes, because people sometimes share their salaries.
[C] No, because redistribution does not make sense.
[D] Yes, because we can look at outliers.
[E] Yes, because my teacher calculates the arithmetic mean of class grades, therefore it must be right to calculate an arithmetic mean of salaries.
Which is the only correct choice?
I showed it wrong just to demonstrate that we need to deal with the outliers also. So, wrong in the sense that, that is not the way we should calculate.
However, I would also like to tell that there is a mistake in the arrangement which should have been done. I hope that the basic objective is clear.
@@physicsforstudents Far from clear. My question to you is:
"Can one know whether calculating an arithmetic mean will be useful or not - before calculating it?"
Yes or No?
Imagine needing a supercomputer to compute an arithmetic mean of a very large set of data which can take several years. Wouldn't it be good to know if the effort is worth it or not? Can we know? If there are outliers, why would we even care about them?
Which would be your choice out of [A] - [E] ?
I think it should be A
However, you can watch my other videos also. Thanks.
@@physicsforstudents But if it's [A] and we have a very large set of data, we might waste computing resources and also a lot of time just to discover that the arithmetic mean is useless because of an outlier or whatever else the reason.
* Can one know calculating the arithmetic mean whether it will be useful of not? *
Sir, then what about terms like Moving Average, Running average, Weighted Average, Simple Moving Average, Weighted Morning Average, Exponential Moving Average etc?
Each of them have different meanings. This is to make you understand on average and mean
@@physicsforstudents Sir, I wanted to know that with each term, can we replace the word average by mean?
@@1234569312 No. That is the whole purpose of the video.
@@physicsforstudents Sir, that video is clear ...
1. In mathematics there is no word like Average. It is MEAN.
2. For symmetrical data we use mean.
3. But in case of non symmetrical (non normalized) data we use median. Median nullify the impacts of outliers.
So, my question is if there is nothing like Average in Maths then why can't we replace the word average from SMA, EMA and Weighted Average etc?
I think you misunderstood the idea. I am not saying that there is nothing called average. We should not use the word average, in a very casual manner. In general whenever we want to calculate the middle position of something, we say that we take the average. The whole point of the video is to make people understand that average should be used precisely, as we use mean. If we just use the word average then the calcukustins would be wrong. SMA , Ema are all specifical calculations... So, no problem.....
I would also like to tell you that today I am publishing a very important video: "How To Answer Interview Questions For A Mathematics Teaching Job." It contains very important questions and answers which are very important for a job. Please watch it out.
Brilliantly explained 👍
Thanks.❤️❤️
I am delighted that you liked it.
informative video
Thank you very much 😊
Way too many mistakes in one video. 5:43 is all wrong
Helped me learn. Thank you!
Thank you very much. I am glad that you liked it.
[ 1+2+3+4+5 = 15 / 5 ], and "the term "average" has no MEANING in mathematics". Yeah..
dude, you can´t write 1+2+3+4+5=15/5. it's just plain wrong
You are right. The sorting was not done.
Wow...the background music attracts my attention hahaha...yiruma
Yes. You are right....
You need to work on your narration...try to make simple content... Can't understand a thing.. I'm sorry
Thanks for the suggestion. I will definitely do.
get to the point and stop trying to re invent it