How to mathematically express the smallest non-outlier element in a set?











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For example, in set $S$, what is the smallest element that is not an outlier? (An outlier being either $1.5(Q_3-Q_1)$ greater than $Q_3$ or less than $Q_1$)






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    When you write "the smallest number that is not an outlier" and provide a definition of "outlier" you have described that number mathematically. There is no "formula" for the number that will work on any data set.
    – Ethan Bolker
    yesterday















up vote
1
down vote

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For example, in set $S$, what is the smallest element that is not an outlier? (An outlier being either $1.5(Q_3-Q_1)$ greater than $Q_3$ or less than $Q_1$)






statistics notation







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  • 3




    When you write "the smallest number that is not an outlier" and provide a definition of "outlier" you have described that number mathematically. There is no "formula" for the number that will work on any data set.
    – Ethan Bolker
    yesterday













up vote
1
down vote

favorite









up vote
1
down vote

favorite











For example, in set $S$, what is the smallest element that is not an outlier? (An outlier being either $1.5(Q_3-Q_1)$ greater than $Q_3$ or less than $Q_1$)






statistics notation







share|cite|improve this question









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uumonki is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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For example, in set $S$, what is the smallest element that is not an outlier? (An outlier being either $1.5(Q_3-Q_1)$ greater than $Q_3$ or less than $Q_1$)






statistics notation




statistics notation






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edited yesterday









Tianlalu

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2,589632






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asked yesterday









uumonki

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uumonki is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 3




    When you write "the smallest number that is not an outlier" and provide a definition of "outlier" you have described that number mathematically. There is no "formula" for the number that will work on any data set.
    – Ethan Bolker
    yesterday














  • 3




    When you write "the smallest number that is not an outlier" and provide a definition of "outlier" you have described that number mathematically. There is no "formula" for the number that will work on any data set.
    – Ethan Bolker
    yesterday








3




3




When you write "the smallest number that is not an outlier" and provide a definition of "outlier" you have described that number mathematically. There is no "formula" for the number that will work on any data set.
– Ethan Bolker
yesterday




When you write "the smallest number that is not an outlier" and provide a definition of "outlier" you have described that number mathematically. There is no "formula" for the number that will work on any data set.
– Ethan Bolker
yesterday










1 Answer
1






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1
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What you are asking for is
$$
min {x in S mid x geq 2.5Q_1 - 1.5Q_3},
$$
but what you actually need is what you have already written down, as Ethan Bolker points out in the comments: a concise readable description of the element you are looking for.






share|cite|improve this answer





















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    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote



    accepted










    What you are asking for is
    $$
    min {x in S mid x geq 2.5Q_1 - 1.5Q_3},
    $$
    but what you actually need is what you have already written down, as Ethan Bolker points out in the comments: a concise readable description of the element you are looking for.






    share|cite|improve this answer

























      up vote
      1
      down vote



      accepted










      What you are asking for is
      $$
      min {x in S mid x geq 2.5Q_1 - 1.5Q_3},
      $$
      but what you actually need is what you have already written down, as Ethan Bolker points out in the comments: a concise readable description of the element you are looking for.






      share|cite|improve this answer























        up vote
        1
        down vote



        accepted







        up vote
        1
        down vote



        accepted






        What you are asking for is
        $$
        min {x in S mid x geq 2.5Q_1 - 1.5Q_3},
        $$
        but what you actually need is what you have already written down, as Ethan Bolker points out in the comments: a concise readable description of the element you are looking for.






        share|cite|improve this answer












        What you are asking for is
        $$
        min {x in S mid x geq 2.5Q_1 - 1.5Q_3},
        $$
        but what you actually need is what you have already written down, as Ethan Bolker points out in the comments: a concise readable description of the element you are looking for.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered yesterday









        Mees de Vries

        16.4k12654




        16.4k12654






















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