You're welcome...thanks for seeking outside help and choosing this channel to study with! Please sub and share it with everyone...especially your teacher so all current and future students know where to find free help like you did...BAM!!!
Studying for an AP stats retest, the way you explain as you draw it really helps me and makes a lot of sense! I feel like I actually understand a lot of the content now.
I have an elementary statistics test today and would like to just say thank you.In 13 minutes you just made me understand what my instructor could not in a month!! You actually know how to relate the information in a way that is not confusing. My instructor brags daily about the textbook that he wrote yet we all sit there with looks of confusion on our faces. I wish I could give you the money that I had to spend taking my statistics class because you deserve it. Thank you again.
I hope you passed that test like BAM!!! yesterday Mzquietstorm78 :) Thanks for choosing #ProfRobBob to watch, learn and subscribe to and thanks for taking the time to share your appreciation with me thru this comment! I've met professors like that too:( If I had all the tuition money, students like you wish they could give me, I could stop classroom teaching and make TH-cam videos full-time...lol ...so until that happens, please continue to share my channel with friends, classmates, teachers, thru all social media, Like me on my Facebook page, print and post flyers from my website...whatever it takes to fulfill my wife's dream of 100,000 subscribers by the end of the year...with the help of my awesome subscribers ~ TOGETHER we CAN "Make it Happen"!
I am advancing my degree in nursing and OM I sure am glad I found you and I am sharing you with the rest of my coworkers and college mates...you are wonderful. I have subscribed to your channel! Thanks for all you did to put this together!
I appreciate all the sharing and support. Subscribing helps channel growth as well, so thanks for that and best of luck in your future career…great nurses are a much needed commodity!
@kinglueyAE Though you end in lol...I will answer your comment seriously. This is a perfect example of why you can't fall behind in math. The concepts constantly spiral back increasing in difficulty with each new level of math you take. I can even compare calculus problems to designs you will see in Algebra 1. These topics are in the very beginning of AP Statistics. I am thrilled knowing you will be prepared when you begin your college Stats class in the future.
i dont know how i got here but thank you so much i was feeling so stressed because i couldnt understand distribution in psychological research and you juts cleared up my doubts and my mind , thank you for this peace and calm i love you
Awesome explanation! I am getting ready to take Bus. Stats this summer and this is going to help me tremendously get a good start in the course. I looked up the syllabus from prior years to make sure this is the same material and I'm very grateful you do such a wonderful job explaining stats. I've been a long time subscriber and will continue to recommend your channel to friends! Keep up the good work!!
MrSupernova111 I have had students ask me about an ANNOVA test which I know nothing about since it is not on the AP curriculum. Other than than I hope my playlist covers all the basics you will need:) Thank you for watching and I am sure that you will do great in your Business Stats class!!!
Está muy bienvenido ... gracias por las amables palabras y por "gusto" mi video! Este es mi comentario primera traducción ... muy cool :)) Espero que seguir mirando! I used google translate in case this makes no sense:D
I just found your channel today, thank you. I'm not a math person and you make stats less scary. I am no longer afraid of bombing my class since it is an online college class.
Non Normal distributions should be summarized with the 5 number summary, and if the data has been proven to be approximately Normal you can use the number summary of Mean and Standard Deviation. Almost all calculated values in Intro to Statistics require the data is approximately Normal to be meaningful...Standard Deviation included.
You can "thank us" by taking the time to like, subscribe and share this free educational channel with everyone you can! ...and it sounds like you should start with your teacher so they can share it with ALL the rest of their students as an additional after class study reference...BAM!!!
You're welcome Mike Chris thanks for choosing #ProfRobBob to learn from and please continue to support by liking, subbing and telling others to watch and do the same:D
You are very welcome...and THANK YOU for studying and subbing to this channel! Please tell everyone to watch and do the same...and please share with your teacher as an after school study reference for ALL current and future students to use...we keep growing and they keep learning, BAM!!!
I figured out a small method on how to remember the skewedness: left: mean < median < mode symm: mean (almost equal to)=median=mode (not sure) right: mean > median > mode You just take: mean, median, mode If it's left, you will see the arrows pointing to the left < < < If it's righ,t you will see the arrows pointing to the right > > > Haha. It helps for me. And of course: the mean is closest to the tail.
I mention this in my class a lot and should have emphasized it more in this video. In fact, I decided to add your example to this video description! You're a great teachers assistant LeBadman:)
Mr prof, For example I have some data, then in mini tab I find my data distribution, for example it has normal or poisson or F or T distribution. I want to know what I can do or what I understand, when I find my data distribution?
Great video! But is there a reason that in a negatively skewed distribution, the mean is always less than the median which is always less than the mode? I understand that it is that way, but is there a reason for it? Thanks so much for the great teaching!
If you have the raw data the mode is THE number that shows up the most. In a smoothed density curve it is under the peak. As far as mean and median. The median is basically the only measure we have that is resistant to outliers. The mean can be strongly effected by extreme values and outliers. That is why the mean is always closest to the tail:) Thank you for your kind words.
Hi Mr. Tarrou! I am self-studying for the AP Stats exam and am watching your videos as a method of covering curriculum. I have a regular Statistics class at school, but it is slow and does not cover as much as your videos do. I am a fast learner, so the pace of the aforementioned bothers me -- A LOT. My teacher doesn't go much into depth for several reasons, mainly because of the class being regular Statistics and because he slows down to fit the students' liking. As such, I do not get as much content as I would like to. One major omitted concept was actually describing graphs! I can label them (i.e., left-skewed, uniform, etc.), but do not understand how to describe it as you did in the video. I understood the median measure, and the mode measure, but the mean puzzled me. It is not a resistant value, but would it really follow the tail as low as it was displayed? My reasoning was that because more values lie in the high end, it would be hard for a few low values to pull it down as much. Would you explain this? Also, a couple more comments and questions! I have been watching your videos since about October for exclusively Statistics. But, I have since been taking Precalculus at my local community college, and I think your videos are amazing reviews of what I didn't fully understand in class! You're helping me move my average, solid B up to an A! I cannot thank you enough. I have recommended SEVERAL people to your channel at this point. I think its effect is analogous to when I recommend people to eat at Five Guy's Burgers and Fries: it spreads wonderfully! Typically, I will use Adblock for TH-cam, but I will start putting it on pause for your videos, because they are so helpful! I read about your goal of 100,000 subscribers, and I willing to support the cause. I strongly support widespread education access for all, so I would be proud to spread your channel. Tomorrow, I go back to school, and I will be printing out the flyers you have on your website and post them around my campus. Many thanks Mr.Tarrou! Anthony
Anthony Cruz Oh, and one last thing!: What else would you recommend I do to prepare for the AP Stats exam? I am sure watching your videos will suffice, but what will ensure that I master the content fully and score a 5? Thanks again!
Anthony Cruz Hi Anthony. Thanks for working so hard on your math classes and allowing me to help. Also thank you for understanding that the advertising supports the TH-camr even more than Google. Supporting the advertising is what helps to keep our channels free. As far as where I placed the Mean in my left and right skewed distributions, that is exaggerated to give me room to right. The mean will always be the closest to the tail in comparison to the other three measurements of center, but probably not that much! Any student of mine that bought the book 5 Steps to a 5 for extra study said that it helped so I would suggest that as an extra recourse. Also you need to check out all of the released FRQ's, scoring guidelines, and sample student responses and scoring commentary here... apcentral.collegeboard.com/apc/members/exam/exam_information/8357.html Together we are going to get that 5 like BAM, and then maybe have some Five Guy's Burgers to celebrate:D
Yipppeeeeee!!!! That's what I like to hear...keep up the self motivation and the great study habits and let me know how that "A" looks on your report card:)
In regard to graphical representations of distributions that plot bar chart values and a line representing the shape of the distribution - and assuming unimodal distribution - it makes sense that the mode is always the peak. I am trying to understand why some graphs showing this information have the peak of the line graph not aligning with the highest bar. The highest bar (in a unimodal data set) is the mode, so how do some line graphs seem to have a peak not at this location?
+Tom Rose Technically if you can see the raw data, the mode is the number that shows up the most often. That may not be in the tallest bar in the histogram. But of course the tallest bar is the class that holds the most data. If you play with the class widths you can slight change the look of the histogram. Say if class widths are very small, a class my have a lot of data fall in it while a neighboring class width may seem to have very little data...almost looking like a gap. You may widen the classes and see a smoother distribution. This may explain why a line graph looks slightly different than a particular histogram. Also, no set of data is perfectly Normal yet we still may represent it...estimate it...with a Normal distribution.
+ProfRobBob Thanks, I take your point about the class width. I read somewhere else, after posting the question, that the mode is not so relevant when it comes to continuous data, given the small differences between values and the very large number of values that may occur. For example, the time results of a fun run with some thousands of competitors, the mode, if it existed, would be of little interest. Mode seems to come into its own when the data is discrete, or non-numeric. In fact, for non-numeric data, the mode is the only "measure of centre" that can be measured, as the "average favourite colour" (for example) is meaningless.
+ProfRobBob As a follow up question, can I ask whether it is "correct" in your video to call "scores in the 80's the mode"? Yes, they are the most common score, but that seems to be different to the definition of mode, as per your reply. If, however, you plotted grades A through E (say), and the most common grade was B, would that fit the definition of the mode?
+Tom Rose I think I have discovered the answer to my own question. The mark range you describe in the video as the mode, namely 80 to less than 90, is actually the "modal class".
+Tom Rose I am going to add that annotation to my lesson!!! Thank you. The language in my lesson is one I have used for years and then at a training this summer the teacher, who is an AP grader, looked at me a bit weird. I also got the impression you may want to use the median as your center of choice when going off of a histogram. I still like describing the 'modal class" peak though because it is so obvious.
Hi, I have a question. My teacher once told me that the mean follows the tail, and wherever the tail is, that's the skewness. (i.e: tail on the left=skewed left) How would you describe the skewness of this histogram?: i.imgur.com/A8C3i5q.png There's no scaling, but let's say it is, and we know that 80% of the data was the 3 tall bars. As you can see, there is a huge difference between the 3rd and the 4th bar. Since the majority of the data is on the left, wouldn't the mean be "pulled" to the left as well? And, from my teacher's statement, would that mean the tail is on the left, thus meaning the data is left skewed? What confuses me is that so far I've only seen left skewed graphs that have data on the right descending neatly, not like the huge difference in the picture from bar 3 to bar 4. Also, it was never quite as obvious/uneven where the majority of the data was, like the picture. I'm sorry this was long, and I hope I didn't confused you with my question, but this has been bothering me for a while, and I hope you can help. Thank you in advance :)
Standard Deviation is a measure of spread. Since standard deviation is calculated using the mean, it is not a resistant measure. So, if you have data that you have determined is approximately Normal the appropriate numerical summary is N(Mean,Standard Deviation)
Question: If mean= median does that prove symmetry for just bimodal or does it also prove symmetry for unimodal ? Thank you soooo much this video is awesome!
Well obviously half the data will be less than the median and half will be greater. The median is a good measure of center for distributions that are skewed or that have outliers. Saying a class average on a test is 57% when 2 people were absent so their grades are zeros under estimates how the students that took the test performed.
just saying I find it funny when you talk to your fellow classmates and ask why they sleep in class and there like I will just go on line and learn it in about 15 mins at home. and now I know they are right lol. but don't sleep in class.
Thanks for tuning in and NOT sleeping in class:) Please sub and share this channel with anyone who hasn't found me...maybe even your teacher so ALL current and future students who study at home will know where to find free help...BAM!!!
THANK YOU. You explained in 12 minutes what my teacher couldn’t explain in 55 mins. You’re amazing!
You're welcome...thanks for seeking outside help and choosing this channel to study with!
Please sub and share it with everyone...especially your teacher so all current and future students know where to find free help like you did...BAM!!!
Check out my video Standard Deviation Preview and IQR Test. You want to watch the second half about the IQR test:)
Studying for an AP stats retest, the way you explain as you draw it really helps me and makes a lot of sense! I feel like I actually understand a lot of the content now.
Glad I could help...hope you pass that retake like BAM!!!...and when you do, please sub and share this channel with your teacher!
I have an elementary statistics test today and would like to just say thank you.In 13 minutes you just made me understand what my instructor could not in a month!! You actually know how to relate the information in a way that is not confusing. My instructor brags daily about the textbook that he wrote yet we all sit there with looks of confusion on our faces. I wish I could give you the money that I had to spend taking my statistics class because you deserve it. Thank you again.
I hope you passed that test like BAM!!! yesterday Mzquietstorm78 :)
Thanks for choosing #ProfRobBob to watch, learn and subscribe to and thanks for taking the time to share your appreciation with me thru this comment! I've met professors like that too:(
If I had all the tuition money, students like you wish they could give me, I could stop classroom teaching and make TH-cam videos full-time...lol
...so until that happens, please continue to share my channel with friends, classmates, teachers, thru all social media, Like me on my Facebook page, print and post flyers from my website...whatever it takes to fulfill my wife's dream of 100,000 subscribers by the end of the year...with the help of my awesome subscribers ~ TOGETHER we CAN "Make it Happen"!
You are welcome. Thank you for watching and your support.
You are welcome. Thank you for watching:)
I am advancing my degree in nursing and OM I sure am glad I found you and I am sharing you with the rest of my coworkers and college mates...you are wonderful. I have subscribed to your channel! Thanks for all you did to put this together!
I appreciate all the sharing and support. Subscribing helps channel growth as well, so thanks for that and best of luck in your future career…great nurses are a much needed commodity!
@kinglueyAE Though you end in lol...I will answer your comment seriously. This is a perfect example of why you can't fall behind in math. The concepts constantly spiral back increasing in difficulty with each new level of math you take. I can even compare calculus problems to designs you will see in Algebra 1. These topics are in the very beginning of AP Statistics. I am thrilled knowing you will be prepared when you begin your college Stats class in the future.
i dont know how i got here but thank you so much i was feeling so stressed because i couldnt understand distribution in psychological research and you juts cleared up my doubts and my mind , thank you for this peace and calm i love you
This guy is great at everything.. Look at that handwriting..
BAM!!!
Thanks, don't forget to sub and share too:D
Awesome explanation! I am getting ready to take Bus. Stats this summer and this is going to help me tremendously get a good start in the course. I looked up the syllabus from prior years to make sure this is the same material and I'm very grateful you do such a wonderful job explaining stats. I've been a long time subscriber and will continue to recommend your channel to friends! Keep up the good work!!
MrSupernova111 I have had students ask me about an ANNOVA test which I know nothing about since it is not on the AP curriculum. Other than than I hope my playlist covers all the basics you will need:) Thank you for watching and I am sure that you will do great in your Business Stats class!!!
You are very welcome sir, thanks for watching and the nice comment:)
Thanks for watching!
Welcome back Glen...good to see you peeking up from the screen again! I appreciate your continued viewership:)
You're welcome and thanks for choosing to learn from my channel...please spread the word and continue to help me groW!
Thank God there are people like you doing these, thank you so much!
You are so welcome nedink !
Don't forget to subscribe and spread the word:D
Está muy bienvenido ... gracias por las amables palabras y por "gusto" mi video! Este es mi comentario primera traducción ... muy cool :)) Espero que seguir mirando! I used google translate in case this makes no sense:D
Obviously:)
Thanks for watching!
Thanks for subscribing and choosing my channel to learn from!....keep up those great study habits:)
I just found your channel today, thank you. I'm not a math person and you make stats less scary. I am no longer afraid of bombing my class since it is an online college class.
Non Normal distributions should be summarized with the 5 number summary, and if the data has been proven to be approximately Normal you can use the number summary of Mean and Standard Deviation. Almost all calculated values in Intro to Statistics require the data is approximately Normal to be meaningful...Standard Deviation included.
A helpful last minute review before my test! Thanks!
Who are the people that thumb down these videos? man!
Thankfully it's NOT you!
jealous math teachers
some people are just sad man.
I really can't thank you enough. I probably wouldn't stand a chance of passing my stats class if not for your videos.
You can "thank us" by taking the time to like, subscribe and share this free educational channel with everyone you can! ...and it sounds like you should start with your teacher so they can share it with ALL the rest of their students as an additional after class study reference...BAM!!!
wow you saved my ass in discrete structures and now you're doing it in statistics, ty sir
You're welcome Mike Chris thanks for choosing #ProfRobBob to learn from and please continue to support by liking, subbing and telling others to watch and do the same:D
Thanks for the tip...I will add a notation to my video and share with my class:)
Thanks again for your stats video- back at it again for me. Fantastics work Mr Tarrou
I learn SO SO much from watching your videos! Thank you!!!!
You are very welcome...and THANK YOU for studying and subbing to this channel!
Please tell everyone to watch and do the same...and please share with your teacher as an after school study reference for ALL current and future students to use...we keep growing and they keep learning, BAM!!!
@Rukygangz You are very welcome:)
a life savior, having my test tomorrow and hopefully i can use this and pass
Thank the lord for people like u
...and students like you who take the time to watch these videos...BAM!!!
Don't forget to sub and share :D
I figured out a small method on how to remember the skewedness:
left: mean < median < mode
symm: mean (almost equal to)=median=mode (not sure)
right: mean > median > mode
You just take: mean, median, mode
If it's left, you will see the arrows pointing to the left < < <
If it's righ,t you will see the arrows pointing to the right > > >
Haha. It helps for me.
And of course: the mean is closest to the tail.
I mention this in my class a lot and should have emphasized it more in this video. In fact, I decided to add your example to this video description! You're a great teachers assistant LeBadman:)
Thank you ProfRobRob! I hope the rest will benefit from the didactive material. :)
you definetely helped me with my first stat test yesterday thanks!
I love all your videos, please make one about ANOVA, pleaseee I really need it. : )
Mr prof, For example I have some data, then in mini tab I find my data distribution, for example it has normal or poisson or F or T distribution. I want to know what I can do or what I understand, when I find my data distribution?
I am sorry I missed your comment....THANK YOU! I hope you did great in your online class.
Great video! But is there a reason that in a negatively skewed distribution, the mean is always less than the median which is always less than the mode? I understand that it is that way, but is there a reason for it? Thanks so much for the great teaching!
If you have the raw data the mode is THE number that shows up the most. In a smoothed density curve it is under the peak. As far as mean and median. The median is basically the only measure we have that is resistant to outliers. The mean can be strongly effected by extreme values and outliers. That is why the mean is always closest to the tail:) Thank you for your kind words.
you are amazing, love how this helps me review for my ap stat test!
Thanks for this video, very helpful indeed. BTW I didn't even notice the misspelt word until I read your comment.
You're welcome!
...that's why I teach math and not english...lol
Muchas gracias. Eres un profesor muy bueno. Greetings sice Colombia.
Hi Mr. Tarrou!
I am self-studying for the AP Stats exam and am watching your videos as a method of covering curriculum. I have a regular Statistics class at school, but it is slow and does not cover as much as your videos do. I am a fast learner, so the pace of the aforementioned bothers me -- A LOT.
My teacher doesn't go much into depth for several reasons, mainly because of the class being regular Statistics and because he slows down to fit the students' liking. As such, I do not get as much content as I would like to. One major omitted concept was actually describing graphs! I can label them (i.e., left-skewed, uniform, etc.), but do not understand how to describe it as you did in the video. I understood the median measure, and the mode measure, but the mean puzzled me. It is not a resistant value, but would it really follow the tail as low as it was displayed? My reasoning was that because more values lie in the high end, it would be hard for a few low values to pull it down as much. Would you explain this?
Also, a couple more comments and questions! I have been watching your videos since about October for exclusively Statistics. But, I have since been taking Precalculus at my local community college, and I think your videos are amazing reviews of what I didn't fully understand in class! You're helping me move my average, solid B up to an A! I cannot thank you enough.
I have recommended SEVERAL people to your channel at this point. I think its effect is analogous to when I recommend people to eat at Five Guy's Burgers and Fries: it spreads wonderfully! Typically, I will use Adblock for TH-cam, but I will start putting it on pause for your videos, because they are so helpful!
I read about your goal of 100,000 subscribers, and I willing to support the cause. I strongly support widespread education access for all, so I would be proud to spread your channel. Tomorrow, I go back to school, and I will be printing out the flyers you have on your website and post them around my campus.
Many thanks Mr.Tarrou!
Anthony
Anthony Cruz Oh, and one last thing!: What else would you recommend I do to prepare for the AP Stats exam? I am sure watching your videos will suffice, but what will ensure that I master the content fully and score a 5?
Thanks again!
Anthony Cruz Hi Anthony. Thanks for working so hard on your math classes and allowing me to help. Also thank you for understanding that the advertising supports the TH-camr even more than Google. Supporting the advertising is what helps to keep our channels free.
As far as where I placed the Mean in my left and right skewed distributions, that is exaggerated to give me room to right. The mean will always be the closest to the tail in comparison to the other three measurements of center, but probably not that much!
Any student of mine that bought the book 5 Steps to a 5 for extra study said that it helped so I would suggest that as an extra recourse. Also you need to check out all of the released FRQ's, scoring guidelines, and sample student responses and scoring commentary here... apcentral.collegeboard.com/apc/members/exam/exam_information/8357.html
Together we are going to get that 5 like BAM, and then maybe have some Five Guy's Burgers to celebrate:D
The ANOVA test is not part of the AP curriculum...so I have never taught that concept:( My apologies.
Yipppeeeeee!!!! That's what I like to hear...keep up the self motivation and the great study habits and let me know how that "A" looks on your report card:)
Wonderful presentation!
In regard to graphical representations of distributions that plot bar chart values and a line representing the shape of the distribution - and assuming unimodal distribution - it makes sense that the mode is always the peak. I am trying to understand why some graphs showing this information have the peak of the line graph not aligning with the highest bar. The highest bar (in a unimodal data set) is the mode, so how do some line graphs seem to have a peak not at this location?
+Tom Rose Technically if you can see the raw data, the mode is the number that shows up the most often. That may not be in the tallest bar in the histogram. But of course the tallest bar is the class that holds the most data. If you play with the class widths you can slight change the look of the histogram. Say if class widths are very small, a class my have a lot of data fall in it while a neighboring class width may seem to have very little data...almost looking like a gap. You may widen the classes and see a smoother distribution. This may explain why a line graph looks slightly different than a particular histogram. Also, no set of data is perfectly Normal yet we still may represent it...estimate it...with a Normal distribution.
+ProfRobBob Thanks, I take your point about the class width. I read somewhere else, after posting the question, that the mode is not so relevant when it comes to continuous data, given the small differences between values and the very large number of values that may occur. For example, the time results of a fun run with some thousands of competitors, the mode, if it existed, would be of little interest. Mode seems to come into its own when the data is discrete, or non-numeric. In fact, for non-numeric data, the mode is the only "measure of centre" that can be measured, as the "average favourite colour" (for example) is meaningless.
+ProfRobBob As a follow up question, can I ask whether it is "correct" in your video to call "scores in the 80's the mode"? Yes, they are the most common score, but that seems to be different to the definition of mode, as per your reply.
If, however, you plotted grades A through E (say), and the most common grade was B, would that fit the definition of the mode?
+Tom Rose I think I have discovered the answer to my own question. The mark range you describe in the video as the mode, namely 80 to less than 90, is actually the "modal class".
+Tom Rose I am going to add that annotation to my lesson!!! Thank you. The language in my lesson is one I have used for years and then at a training this summer the teacher, who is an AP grader, looked at me a bit weird. I also got the impression you may want to use the median as your center of choice when going off of a histogram. I still like describing the 'modal class" peak though because it is so obvious.
Hi, I have a question.
My teacher once told me that the mean follows the tail, and wherever the tail is, that's the skewness. (i.e: tail on the left=skewed left)
How would you describe the skewness of this histogram?:
i.imgur.com/A8C3i5q.png
There's no scaling, but let's say it is, and we know that 80% of the data was the 3 tall bars.
As you can see, there is a huge difference between the 3rd and the 4th bar.
Since the majority of the data is on the left, wouldn't the mean be "pulled" to the left as well? And, from my teacher's statement, would that mean the tail is on the left, thus meaning the data is left skewed?
What confuses me is that so far I've only seen left skewed graphs that have data on the right descending neatly, not like the huge difference in the picture from bar 3 to bar 4. Also, it was never quite as obvious/uneven where the majority of the data was, like the picture.
I'm sorry this was long, and I hope I didn't confused you with my question, but this has been bothering me for a while, and I hope you can help.
Thank you in advance :)
The tail is the longer skinnier portion of the graph where the data is becoming more spread out. The picture you included is right skewed:)
What category does standard deviation fall into, is it acceptable to add it in to the description?
Standard Deviation is a measure of spread. Since standard deviation is calculated using the mean, it is not a resistant measure. So, if you have data that you have determined is approximately Normal the appropriate numerical summary is N(Mean,Standard Deviation)
Gave you a thumbs up, it was a little confusing but it wasnt bad
Thanks...this was one of my very early videos...I promise they have gotten better over 6 years:)
@@profrobbob they're great and helpful. You are right. Thanks for making these!
..and THANKS for watching!!!@@damienmorrow912
So if the histogram is symmetric, which summary statistics would you choose to summarize the center and the spread? and Why?
Question: If mean= median does that prove symmetry for just bimodal or does it also prove symmetry for unimodal ?
Thank you soooo much this video is awesome!
How can the median describe the centre of the distribution? I know it means the 'centre' but what would it tell us about the distribution?
Well obviously half the data will be less than the median and half will be greater. The median is a good measure of center for distributions that are skewed or that have outliers. Saying a class average on a test is 57% when 2 people were absent so their grades are zeros under estimates how the students that took the test performed.
how do you find outliers mathematically
Excellent, thank you
THANK YOU SO MUCH
Thank you so much you.
You are so welcome!
Thank you so much for this!
...and thanks you for liking and learning, please sub and share this free educational channel with everyone:D
hes covered in chalk!
Laura Moriset it was a long teaching day!
What do you care?
just saying I find it funny when you talk to your fellow classmates and ask why they sleep in class and there like I will just go on line and learn it in about 15 mins at home. and now I know they are right lol. but don't sleep in class.
Thanks for tuning in and NOT sleeping in class:)
Please sub and share this channel with anyone who hasn't found me...maybe even your teacher so ALL current and future students who study at home will know where to find free help...BAM!!!
Thank you so much.
THANK YOU for watching!
what is a distribution in statistics
Thanks
thanks for watching too!
I learned more from this net my entire year from math????
Thanks for watching!
yay i can finish my hw now :)
Good video
thanks!
:D
okay thanks
thank you
+francis C :)
: ( ok thank you.
However I like your videos and the way you teach, thank you.
: )
First I thought you wanna dance :D
You rock
BAM!!!
Thanks for watching!
THANKS :)
You're welcome paula sison and THANKS for liking, learning and subbing too!
Joseph Wang be sure to follow her lead and please like and subscribe:D
SUPER
...and THANK YOU for watching. liking and subbing too!
Please spread the word:D
Of course you will pass:D
My teacher uses the acronym SOCS
Nice
BAM!!!