Five Number Summary, Boxplots, and Outliers | Statistics Exercises

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  • Опубликовано: 24 июл 2023
  • We find the 5 number summary of a data set and use it to construct a box and whisker plot and then a modified boxplot which represents outliers specially. The five number summary of a set of data consists of the minimum, the first quartile, the median, the third quartile, and the maximum. Then, Q3-Q1 is the interquartile range or IQR, and this can be used to classify outliers. #statistics
    What is a 5 Number Summary? • What is a 5 Number Sum...
    Interquartile Range: • How to Find the Interq...
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Комментарии • 29

  • @WrathofMath
    @WrathofMath  Год назад +6

    I tried to be exceptionally brief but still helpful in this video - as brevity seems to be one of the primary ways to break into highly competitive video topics such as this one. If I can spend all my time making math videos someday, I'll just make hour long Game Theory and Graph Theory lectures.

  • @pickelsandnickels2487
    @pickelsandnickels2487 3 месяца назад +4

    You explained this better than my math teacher

  • @arisrodriguez620
    @arisrodriguez620 9 месяцев назад +6

    Thanks this helped me study for my upcoming test!

    • @JuvBhodey
      @JuvBhodey 7 месяцев назад

      How is Mr beast following u 😮

  • @auntsquidwardd
    @auntsquidwardd 5 месяцев назад

    im writing my exams soon and i want to understand if my maximum is only 6 on the box whisker plot and calculating the upper whisker limit is more than my maximum, do i include the outlier in the box whisker plot or just leave it out? i dont know if im making sense
    your video helped me a lot btw, thank you

  • @victorbakanda9966
    @victorbakanda9966 10 месяцев назад +1

    Is the diagram skew to the left or skew to the right

  • @radha792
    @radha792 24 дня назад

    You’re the best math teacher ever!!❤❤

  • @devsimx-me4vn
    @devsimx-me4vn Месяц назад +1

    Thanks for this I have an exam tomorrow on universal data or whatever and I play games in class normally so this really helped me out.😁

  • @janiceanne1032
    @janiceanne1032 4 месяца назад

    Thank you so much.

  • @ndk8009
    @ndk8009 2 месяца назад +1

    Hi I’m not sure if I’m wrong but to fine the median the formula is (n+1)/2 so n = 10 number, (10+1)/2 = 5.5 so it would be at the position 5.5 in the number range, there fire the mean would be (3+4)/2 = 3.5 which u r correct. But for the Q1 the formula would be (n+1)/4 so (10+1)/4 = 2.75, so it would be at the position 2.75 therefore cannot be directly in the middle of 1 and 2, you are wrong because u didn’t count in the 0.5 between 3 and 4.
    The correct answer for 1st quartile would be
    (10+1)/2 = 2.75
    So it would be at positron 2.75
    Position 2 = 1
    Position 3 = 2
    And you want to find position 2.75 so you would need to find the 0.75 between 1 and 2
    To do that:
    You take 2-1 = 1 and then 1 x 0.75 which would give you 0.75
    0.75 then add to 1 (position 2) and you get 1.75
    1st quartile would be 1.75
    So your answer is wrong
    And the 3rd quartile is wrong also

    • @josezuniga3503
      @josezuniga3503 28 дней назад

      Just draw a cf table and find it man.

  • @andrewbroschart9445
    @andrewbroschart9445 5 месяцев назад

    Thanks!

    • @WrathofMath
      @WrathofMath  5 месяцев назад

      Glad to help! Thanks a lot for the Super!

  • @CindyNamazzi
    @CindyNamazzi 2 месяца назад

    Thank you so much❤

    • @WrathofMath
      @WrathofMath  2 месяца назад

      Glad to help - thanks for watching!

  • @jacinthpaul6629
    @jacinthpaul6629 3 месяца назад

    Well explained 😮

  • @RONINMN
    @RONINMN 9 месяцев назад

    thanks for the carry

  • @nasimaowais7530
    @nasimaowais7530 5 месяцев назад

    How did you get 6 ?

    • @jocelynguzman8303
      @jocelynguzman8303 5 месяцев назад

      Since the outlier is 10, he changed the graph so that the max would be 6

  • @user-ht4cp8oq7e
    @user-ht4cp8oq7e 4 месяца назад

    Isnt the median 3.8?

    • @mattlan37x21
      @mattlan37x21 4 месяца назад +1

      That is the “mean”, look up definition of median for how to find the median

  • @RockWhisperer577
    @RockWhisperer577 4 месяца назад

    Cool

  • @esmatullah873
    @esmatullah873 4 месяца назад +1

    Q1=n+1/4 and Q3=3(n+1)/4 🤨