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Is a distribution that is normal, but highly skewed considered Gaussian?



The Next CEO of Stack OverflowFinding the distribution when the observations are dependentThe correct probability distribution / way to identify large deviations in a set of daily changes to portfolio valueWhich Distribution Does the Data Point Belong to?Distribution of Sample Means Compared to Population MeanRight skewed asymmetric Gaussian-like distributionModel building and data analysisWhat would the distribution of time spent per day on a given site look like?Distinguish between underlying Distribution and data shape in data transforming?Test to determine whether the empirical distribution for a given day is an outlier compared with other daysError on mean from measurements made from a distribution with a possible long tail










3












$begingroup$


I have this question: What do you think the distribution of time spent per day on YouTube looks like?



My answer is that it is probably normally distributed and highly left skewed. I expect there is one mode where most users spend around some average time and then a long right tale since some users are overwhelming power users.



Is that a fair answer? Is there a better word for that distribution?










share|cite|improve this question









$endgroup$
















    3












    $begingroup$


    I have this question: What do you think the distribution of time spent per day on YouTube looks like?



    My answer is that it is probably normally distributed and highly left skewed. I expect there is one mode where most users spend around some average time and then a long right tale since some users are overwhelming power users.



    Is that a fair answer? Is there a better word for that distribution?










    share|cite|improve this question









    $endgroup$














      3












      3








      3


      1



      $begingroup$


      I have this question: What do you think the distribution of time spent per day on YouTube looks like?



      My answer is that it is probably normally distributed and highly left skewed. I expect there is one mode where most users spend around some average time and then a long right tale since some users are overwhelming power users.



      Is that a fair answer? Is there a better word for that distribution?










      share|cite|improve this question









      $endgroup$




      I have this question: What do you think the distribution of time spent per day on YouTube looks like?



      My answer is that it is probably normally distributed and highly left skewed. I expect there is one mode where most users spend around some average time and then a long right tale since some users are overwhelming power users.



      Is that a fair answer? Is there a better word for that distribution?







      distributions






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 4 hours ago









      CauderCauder

      556




      556




















          3 Answers
          3






          active

          oldest

          votes


















          7












          $begingroup$

          A distribution that is normal is not highly skewed. That is a contradiction. Normally distributed variables have skew = 0.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
            $endgroup$
            – Cauder
            4 hours ago






          • 2




            $begingroup$
            Unimodal and skewed is as close as I can come...
            $endgroup$
            – jbowman
            4 hours ago










          • $begingroup$
            Perfect. Thanks @jbowman
            $endgroup$
            – Cauder
            4 hours ago






          • 3




            $begingroup$
            As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
            $endgroup$
            – Cauder
            4 hours ago


















          4












          $begingroup$

          If it has long right tail, then it's right skewed.



          enter image description here



          It can't be a normal distribution since skew !=0, it's perhaps a unimodal skew normal distribution:



          https://en.wikipedia.org/wiki/Skew_normal_distribution






          share|cite|improve this answer








          New contributor




          behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.






          $endgroup$




















            1












            $begingroup$

            A fraction per day is certainly not negative. This rules out the normal distribution, which has probability mass over the entire real axis - in particular over the negative half.



            Power law distributions are often used to model things like income distributions, sizes of cities etc. They are nonnegative and typically highly skewed. These would be the first I would try in modeling time spent watching YouTube. (Or monitoring CrossValidated questions.)



            More information on power laws can be found here or here, or in our power-law tag.






            share|cite|improve this answer









            $endgroup$












            • $begingroup$
              You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
              $endgroup$
              – Matt Krause
              1 hour ago











            Your Answer





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            3 Answers
            3






            active

            oldest

            votes








            3 Answers
            3






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            7












            $begingroup$

            A distribution that is normal is not highly skewed. That is a contradiction. Normally distributed variables have skew = 0.






            share|cite|improve this answer









            $endgroup$












            • $begingroup$
              What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
              $endgroup$
              – Cauder
              4 hours ago






            • 2




              $begingroup$
              Unimodal and skewed is as close as I can come...
              $endgroup$
              – jbowman
              4 hours ago










            • $begingroup$
              Perfect. Thanks @jbowman
              $endgroup$
              – Cauder
              4 hours ago






            • 3




              $begingroup$
              As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
              $endgroup$
              – Cauder
              4 hours ago















            7












            $begingroup$

            A distribution that is normal is not highly skewed. That is a contradiction. Normally distributed variables have skew = 0.






            share|cite|improve this answer









            $endgroup$












            • $begingroup$
              What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
              $endgroup$
              – Cauder
              4 hours ago






            • 2




              $begingroup$
              Unimodal and skewed is as close as I can come...
              $endgroup$
              – jbowman
              4 hours ago










            • $begingroup$
              Perfect. Thanks @jbowman
              $endgroup$
              – Cauder
              4 hours ago






            • 3




              $begingroup$
              As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
              $endgroup$
              – Cauder
              4 hours ago













            7












            7








            7





            $begingroup$

            A distribution that is normal is not highly skewed. That is a contradiction. Normally distributed variables have skew = 0.






            share|cite|improve this answer









            $endgroup$



            A distribution that is normal is not highly skewed. That is a contradiction. Normally distributed variables have skew = 0.







            share|cite|improve this answer












            share|cite|improve this answer



            share|cite|improve this answer










            answered 4 hours ago









            Peter FlomPeter Flom

            76.5k11107213




            76.5k11107213











            • $begingroup$
              What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
              $endgroup$
              – Cauder
              4 hours ago






            • 2




              $begingroup$
              Unimodal and skewed is as close as I can come...
              $endgroup$
              – jbowman
              4 hours ago










            • $begingroup$
              Perfect. Thanks @jbowman
              $endgroup$
              – Cauder
              4 hours ago






            • 3




              $begingroup$
              As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
              $endgroup$
              – Cauder
              4 hours ago
















            • $begingroup$
              What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
              $endgroup$
              – Cauder
              4 hours ago






            • 2




              $begingroup$
              Unimodal and skewed is as close as I can come...
              $endgroup$
              – jbowman
              4 hours ago










            • $begingroup$
              Perfect. Thanks @jbowman
              $endgroup$
              – Cauder
              4 hours ago






            • 3




              $begingroup$
              As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
              $endgroup$
              – Cauder
              4 hours ago















            $begingroup$
            What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
            $endgroup$
            – Cauder
            4 hours ago




            $begingroup$
            What is a better way to describe the distribution? Is there a word for that type of distribution where it centers around a mode and then has a long tail?
            $endgroup$
            – Cauder
            4 hours ago




            2




            2




            $begingroup$
            Unimodal and skewed is as close as I can come...
            $endgroup$
            – jbowman
            4 hours ago




            $begingroup$
            Unimodal and skewed is as close as I can come...
            $endgroup$
            – jbowman
            4 hours ago












            $begingroup$
            Perfect. Thanks @jbowman
            $endgroup$
            – Cauder
            4 hours ago




            $begingroup$
            Perfect. Thanks @jbowman
            $endgroup$
            – Cauder
            4 hours ago




            3




            3




            $begingroup$
            As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
            $endgroup$
            – Cauder
            4 hours ago




            $begingroup$
            As an aside, it's just really incredible that people give their time to help other people get better at this stuff. I know it goes without saying, but it's so cool what you both do!
            $endgroup$
            – Cauder
            4 hours ago













            4












            $begingroup$

            If it has long right tail, then it's right skewed.



            enter image description here



            It can't be a normal distribution since skew !=0, it's perhaps a unimodal skew normal distribution:



            https://en.wikipedia.org/wiki/Skew_normal_distribution






            share|cite|improve this answer








            New contributor




            behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            $endgroup$

















              4












              $begingroup$

              If it has long right tail, then it's right skewed.



              enter image description here



              It can't be a normal distribution since skew !=0, it's perhaps a unimodal skew normal distribution:



              https://en.wikipedia.org/wiki/Skew_normal_distribution






              share|cite|improve this answer








              New contributor




              behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.






              $endgroup$















                4












                4








                4





                $begingroup$

                If it has long right tail, then it's right skewed.



                enter image description here



                It can't be a normal distribution since skew !=0, it's perhaps a unimodal skew normal distribution:



                https://en.wikipedia.org/wiki/Skew_normal_distribution






                share|cite|improve this answer








                New contributor




                behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.






                $endgroup$



                If it has long right tail, then it's right skewed.



                enter image description here



                It can't be a normal distribution since skew !=0, it's perhaps a unimodal skew normal distribution:



                https://en.wikipedia.org/wiki/Skew_normal_distribution







                share|cite|improve this answer








                New contributor




                behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.









                share|cite|improve this answer



                share|cite|improve this answer






                New contributor




                behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.









                answered 4 hours ago









                beholdbehold

                656




                656




                New contributor




                behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.





                New contributor





                behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.






                behold is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.





















                    1












                    $begingroup$

                    A fraction per day is certainly not negative. This rules out the normal distribution, which has probability mass over the entire real axis - in particular over the negative half.



                    Power law distributions are often used to model things like income distributions, sizes of cities etc. They are nonnegative and typically highly skewed. These would be the first I would try in modeling time spent watching YouTube. (Or monitoring CrossValidated questions.)



                    More information on power laws can be found here or here, or in our power-law tag.






                    share|cite|improve this answer









                    $endgroup$












                    • $begingroup$
                      You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
                      $endgroup$
                      – Matt Krause
                      1 hour ago















                    1












                    $begingroup$

                    A fraction per day is certainly not negative. This rules out the normal distribution, which has probability mass over the entire real axis - in particular over the negative half.



                    Power law distributions are often used to model things like income distributions, sizes of cities etc. They are nonnegative and typically highly skewed. These would be the first I would try in modeling time spent watching YouTube. (Or monitoring CrossValidated questions.)



                    More information on power laws can be found here or here, or in our power-law tag.






                    share|cite|improve this answer









                    $endgroup$












                    • $begingroup$
                      You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
                      $endgroup$
                      – Matt Krause
                      1 hour ago













                    1












                    1








                    1





                    $begingroup$

                    A fraction per day is certainly not negative. This rules out the normal distribution, which has probability mass over the entire real axis - in particular over the negative half.



                    Power law distributions are often used to model things like income distributions, sizes of cities etc. They are nonnegative and typically highly skewed. These would be the first I would try in modeling time spent watching YouTube. (Or monitoring CrossValidated questions.)



                    More information on power laws can be found here or here, or in our power-law tag.






                    share|cite|improve this answer









                    $endgroup$



                    A fraction per day is certainly not negative. This rules out the normal distribution, which has probability mass over the entire real axis - in particular over the negative half.



                    Power law distributions are often used to model things like income distributions, sizes of cities etc. They are nonnegative and typically highly skewed. These would be the first I would try in modeling time spent watching YouTube. (Or monitoring CrossValidated questions.)



                    More information on power laws can be found here or here, or in our power-law tag.







                    share|cite|improve this answer












                    share|cite|improve this answer



                    share|cite|improve this answer










                    answered 4 hours ago









                    Stephan KolassaStephan Kolassa

                    47.1k7100175




                    47.1k7100175











                    • $begingroup$
                      You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
                      $endgroup$
                      – Matt Krause
                      1 hour ago
















                    • $begingroup$
                      You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
                      $endgroup$
                      – Matt Krause
                      1 hour ago















                    $begingroup$
                    You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
                    $endgroup$
                    – Matt Krause
                    1 hour ago




                    $begingroup$
                    You're completely correct that normal distributions have support on the real line. And yet...they're no an awful model for some strictly positive qualities, like adults' height or weight, where the mean and variance are such that the negative values are very unlikely under the model.
                    $endgroup$
                    – Matt Krause
                    1 hour ago

















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