understanding the shape of the distribution of a random variable

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what plots can I draw to understand the shape of the distribution of a random variable?



I do know that histograms can be plotted to do the above. but can box plot and violin plot be plotted as well to help me understand the shape of the distribution?










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  • It seems you have a sample from a distribution. The two answers you have already are good for studying the sample If you know the 'family' of the population distribution, and a reasonably large sample, you could get useful estimates of the population parameters and perhaps come close to reconstructing the population distribution. For example, if you know the population distribution is normal, then estimating its $mu$ and $sigma.$ With a large sample and no information about the family, density estimation may be best. ...
    – BruceET
    10 mins ago











  • ... Perhaps this Q & A. will be helpful. Also, you can look at some of the links in the right margin of this page, under 'Related'. // If none of that helps, please edit your Question to say more about what information you have, and more about your objective.
    – BruceET
    5 mins ago
















up vote
1
down vote

favorite












what plots can I draw to understand the shape of the distribution of a random variable?



I do know that histograms can be plotted to do the above. but can box plot and violin plot be plotted as well to help me understand the shape of the distribution?










share|cite|improve this question







New contributor




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



















  • It seems you have a sample from a distribution. The two answers you have already are good for studying the sample If you know the 'family' of the population distribution, and a reasonably large sample, you could get useful estimates of the population parameters and perhaps come close to reconstructing the population distribution. For example, if you know the population distribution is normal, then estimating its $mu$ and $sigma.$ With a large sample and no information about the family, density estimation may be best. ...
    – BruceET
    10 mins ago











  • ... Perhaps this Q & A. will be helpful. Also, you can look at some of the links in the right margin of this page, under 'Related'. // If none of that helps, please edit your Question to say more about what information you have, and more about your objective.
    – BruceET
    5 mins ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











what plots can I draw to understand the shape of the distribution of a random variable?



I do know that histograms can be plotted to do the above. but can box plot and violin plot be plotted as well to help me understand the shape of the distribution?










share|cite|improve this question







New contributor




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











what plots can I draw to understand the shape of the distribution of a random variable?



I do know that histograms can be plotted to do the above. but can box plot and violin plot be plotted as well to help me understand the shape of the distribution?







descriptive-statistics






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Mechen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • It seems you have a sample from a distribution. The two answers you have already are good for studying the sample If you know the 'family' of the population distribution, and a reasonably large sample, you could get useful estimates of the population parameters and perhaps come close to reconstructing the population distribution. For example, if you know the population distribution is normal, then estimating its $mu$ and $sigma.$ With a large sample and no information about the family, density estimation may be best. ...
    – BruceET
    10 mins ago











  • ... Perhaps this Q & A. will be helpful. Also, you can look at some of the links in the right margin of this page, under 'Related'. // If none of that helps, please edit your Question to say more about what information you have, and more about your objective.
    – BruceET
    5 mins ago
















  • It seems you have a sample from a distribution. The two answers you have already are good for studying the sample If you know the 'family' of the population distribution, and a reasonably large sample, you could get useful estimates of the population parameters and perhaps come close to reconstructing the population distribution. For example, if you know the population distribution is normal, then estimating its $mu$ and $sigma.$ With a large sample and no information about the family, density estimation may be best. ...
    – BruceET
    10 mins ago











  • ... Perhaps this Q & A. will be helpful. Also, you can look at some of the links in the right margin of this page, under 'Related'. // If none of that helps, please edit your Question to say more about what information you have, and more about your objective.
    – BruceET
    5 mins ago















It seems you have a sample from a distribution. The two answers you have already are good for studying the sample If you know the 'family' of the population distribution, and a reasonably large sample, you could get useful estimates of the population parameters and perhaps come close to reconstructing the population distribution. For example, if you know the population distribution is normal, then estimating its $mu$ and $sigma.$ With a large sample and no information about the family, density estimation may be best. ...
– BruceET
10 mins ago





It seems you have a sample from a distribution. The two answers you have already are good for studying the sample If you know the 'family' of the population distribution, and a reasonably large sample, you could get useful estimates of the population parameters and perhaps come close to reconstructing the population distribution. For example, if you know the population distribution is normal, then estimating its $mu$ and $sigma.$ With a large sample and no information about the family, density estimation may be best. ...
– BruceET
10 mins ago













... Perhaps this Q & A. will be helpful. Also, you can look at some of the links in the right margin of this page, under 'Related'. // If none of that helps, please edit your Question to say more about what information you have, and more about your objective.
– BruceET
5 mins ago




... Perhaps this Q & A. will be helpful. Also, you can look at some of the links in the right margin of this page, under 'Related'. // If none of that helps, please edit your Question to say more about what information you have, and more about your objective.
– BruceET
5 mins ago










2 Answers
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The goal of any kind of plotting is to check how the data is distributed with respect to the parameter that we are looking for. For example the plot for Time Series Data will be different as compared to the plot for checking the frequency of different data points in a dataset.



So taking into consideration Box plots, lets look at what they represent.
Box Plot from https://chartio.com/resources/tutorials/what-is-a-box-plot/



So looking at it from the point of view of understanding distributions, we can see that the graph would be peaking around the Right. So its a RIGHT SKEWED Distribution.



Similarly, Violin plot would look like:
Violin Plot



Here we can see the median is given in the plot, which is one of the measures for checking if a distribution is skewed or not.



So coming to your question, if you know what you are looking for, Boxplots and Violin Plots are a great alternative to check if your data is skewed or not.



Image 1 : https://chartio.com/resources/tutorials/what-is-a-box-plot/



Image 2 : https://datavizcatalogue.com/methods/violin_plot.html






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    Yes, above mentioned plots are helpful. Another famous way is through Kernel Density Estimation. In which Kernel and Bandwidths are involved. For more detail check
    https://en.wikipedia.org/wiki/Kernel_density_estimation.
    Different packages are available in R, which can be directly used for this purpose, like, KernSmooth, ks,np and etc.






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      2 Answers
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      2 Answers
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      The goal of any kind of plotting is to check how the data is distributed with respect to the parameter that we are looking for. For example the plot for Time Series Data will be different as compared to the plot for checking the frequency of different data points in a dataset.



      So taking into consideration Box plots, lets look at what they represent.
      Box Plot from https://chartio.com/resources/tutorials/what-is-a-box-plot/



      So looking at it from the point of view of understanding distributions, we can see that the graph would be peaking around the Right. So its a RIGHT SKEWED Distribution.



      Similarly, Violin plot would look like:
      Violin Plot



      Here we can see the median is given in the plot, which is one of the measures for checking if a distribution is skewed or not.



      So coming to your question, if you know what you are looking for, Boxplots and Violin Plots are a great alternative to check if your data is skewed or not.



      Image 1 : https://chartio.com/resources/tutorials/what-is-a-box-plot/



      Image 2 : https://datavizcatalogue.com/methods/violin_plot.html






      share|cite|improve this answer








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      Pushkaraj Joshi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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        The goal of any kind of plotting is to check how the data is distributed with respect to the parameter that we are looking for. For example the plot for Time Series Data will be different as compared to the plot for checking the frequency of different data points in a dataset.



        So taking into consideration Box plots, lets look at what they represent.
        Box Plot from https://chartio.com/resources/tutorials/what-is-a-box-plot/



        So looking at it from the point of view of understanding distributions, we can see that the graph would be peaking around the Right. So its a RIGHT SKEWED Distribution.



        Similarly, Violin plot would look like:
        Violin Plot



        Here we can see the median is given in the plot, which is one of the measures for checking if a distribution is skewed or not.



        So coming to your question, if you know what you are looking for, Boxplots and Violin Plots are a great alternative to check if your data is skewed or not.



        Image 1 : https://chartio.com/resources/tutorials/what-is-a-box-plot/



        Image 2 : https://datavizcatalogue.com/methods/violin_plot.html






        share|cite|improve this answer








        New contributor




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



















          up vote
          1
          down vote










          up vote
          1
          down vote









          The goal of any kind of plotting is to check how the data is distributed with respect to the parameter that we are looking for. For example the plot for Time Series Data will be different as compared to the plot for checking the frequency of different data points in a dataset.



          So taking into consideration Box plots, lets look at what they represent.
          Box Plot from https://chartio.com/resources/tutorials/what-is-a-box-plot/



          So looking at it from the point of view of understanding distributions, we can see that the graph would be peaking around the Right. So its a RIGHT SKEWED Distribution.



          Similarly, Violin plot would look like:
          Violin Plot



          Here we can see the median is given in the plot, which is one of the measures for checking if a distribution is skewed or not.



          So coming to your question, if you know what you are looking for, Boxplots and Violin Plots are a great alternative to check if your data is skewed or not.



          Image 1 : https://chartio.com/resources/tutorials/what-is-a-box-plot/



          Image 2 : https://datavizcatalogue.com/methods/violin_plot.html






          share|cite|improve this answer








          New contributor




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









          The goal of any kind of plotting is to check how the data is distributed with respect to the parameter that we are looking for. For example the plot for Time Series Data will be different as compared to the plot for checking the frequency of different data points in a dataset.



          So taking into consideration Box plots, lets look at what they represent.
          Box Plot from https://chartio.com/resources/tutorials/what-is-a-box-plot/



          So looking at it from the point of view of understanding distributions, we can see that the graph would be peaking around the Right. So its a RIGHT SKEWED Distribution.



          Similarly, Violin plot would look like:
          Violin Plot



          Here we can see the median is given in the plot, which is one of the measures for checking if a distribution is skewed or not.



          So coming to your question, if you know what you are looking for, Boxplots and Violin Plots are a great alternative to check if your data is skewed or not.



          Image 1 : https://chartio.com/resources/tutorials/what-is-a-box-plot/



          Image 2 : https://datavizcatalogue.com/methods/violin_plot.html







          share|cite|improve this answer








          New contributor




          Pushkaraj Joshi 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






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          answered 1 hour ago









          Pushkaraj Joshi

          112




          112




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          Pushkaraj Joshi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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              up vote
              1
              down vote













              Yes, above mentioned plots are helpful. Another famous way is through Kernel Density Estimation. In which Kernel and Bandwidths are involved. For more detail check
              https://en.wikipedia.org/wiki/Kernel_density_estimation.
              Different packages are available in R, which can be directly used for this purpose, like, KernSmooth, ks,np and etc.






              share|cite|improve this answer
























                up vote
                1
                down vote













                Yes, above mentioned plots are helpful. Another famous way is through Kernel Density Estimation. In which Kernel and Bandwidths are involved. For more detail check
                https://en.wikipedia.org/wiki/Kernel_density_estimation.
                Different packages are available in R, which can be directly used for this purpose, like, KernSmooth, ks,np and etc.






                share|cite|improve this answer






















                  up vote
                  1
                  down vote










                  up vote
                  1
                  down vote









                  Yes, above mentioned plots are helpful. Another famous way is through Kernel Density Estimation. In which Kernel and Bandwidths are involved. For more detail check
                  https://en.wikipedia.org/wiki/Kernel_density_estimation.
                  Different packages are available in R, which can be directly used for this purpose, like, KernSmooth, ks,np and etc.






                  share|cite|improve this answer












                  Yes, above mentioned plots are helpful. Another famous way is through Kernel Density Estimation. In which Kernel and Bandwidths are involved. For more detail check
                  https://en.wikipedia.org/wiki/Kernel_density_estimation.
                  Different packages are available in R, which can be directly used for this purpose, like, KernSmooth, ks,np and etc.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered 31 mins ago









                  Angel

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