How to find the 20th and 80th percentile of a data set

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  • เผยแพร่เมื่อ 29 ก.ย. 2024
  • 👉 Learn how to find the percentile of a data set. The kth percentile of a data set is the data value that appeared in the kth position after the dataset has been divided into 100 equal parts. Thus to find the kth percentile of a dataset, we first divide the dataset into 100 equal parts, and then the data value in the kth place is the kth percentile of the dataset. If more than one data value falls in the kth place, their average is taken.
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ความคิดเห็น • 121

  • @dianamora6266
    @dianamora6266 4 ปีที่แล้ว +42

    Brian, just thank you. This is my fourth time taking statistics in college :) and it finally made sense

    • @brianmclogan
      @brianmclogan  4 ปีที่แล้ว +13

      Nice, coming from me who hated statistics. Keep up the work

  • @hardeepcharak
    @hardeepcharak 6 ปีที่แล้ว +19

    What about P/100* (n+1). It should be 0.2*(10+1)=2.2. Now get two numbers that are below and above 2.2th place, those are second 170 and third 174. Get their average (170+174)/2= 172. All the values below 172 are 20% of all data. Same method for 80th Percentile as well.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +4

      thank you for sharing

    • @FB-tr2kf
      @FB-tr2kf 5 ปีที่แล้ว +4

      Wrong. 20th percentile should be 0.2 x (174 - 170) + 170 > = 170.8

    • @preciousvernellebonto9271
      @preciousvernellebonto9271 4 ปีที่แล้ว

      @@FB-tr2kf it's also the same.In your case I see that you used interpolation method but if you happened to use Mendel and Sincich's Method just like what Hardeep used then it will also arrive at the same position--2nd which is 170. Interpolation method is just more accurate than Mendel's. I just didn't get why it happens to be 174 tho.

  • @supvilla5540
    @supvilla5540 5 ปีที่แล้ว +10

    aren't you suppose to add 1 to the n?

  • @note2self628
    @note2self628 3 ปีที่แล้ว

    This is incorrect. The index is a whole number which means the answer would be an average of the 2nd and 3rd number.

  • @majestic7768
    @majestic7768 3 ปีที่แล้ว

    Becomes tricky when 'n' (data points) is an odd number.

  • @zoeylai680
    @zoeylai680 6 ปีที่แล้ว +1

    I had a math test today and i got a question wrong on finding the 30th percentile. The formula we used was b over 7 •100=30. So 7•30=210/100=2.1 and i rounded it to 2 and the second value was 18. But the answer was 20 (the third value in the data set). Is it because u round 2.1 to 3 and not 2.Some videos say that say the 30th percentile was 3 you would look to the third value in the data set and that would be the percentile. But then your video shows that if the 2nd percentile is 2 then you would go to the third value? Is it because you include the value AND the values below it or no? Idk if you will understand because it’s long

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      It is all values that fall under that number so that is why 2.1 is rounded up to 3

    • @hdjamph1423
      @hdjamph1423 6 ปีที่แล้ว

      w

  • @janechinamo9323
    @janechinamo9323 4 ปีที่แล้ว

    i dont get the concept clearly

  • @MarisolHernandez-hk6wj
    @MarisolHernandez-hk6wj 5 ปีที่แล้ว +46

    You saved my life in math 1050 and one year later here you are saving my life in social statistics 😭

  • @m.onthatilemotaung3720
    @m.onthatilemotaung3720 3 หลายเดือนก่อน +2

    His wrong
    80th is 186+188/2 = 187
    20th is 170+174/2= 172
    Because we got 2.2 on the 20th percentile you supposed round up and down leading you to the the 2nd and 3rd number, same with 80th❤

  • @roseleizlmanlapaz2563
    @roseleizlmanlapaz2563 ปีที่แล้ว +6

    thank you so much sir for the comprehensible explanation!what if the result is not a whole number?like getting a 5.8 or a 15.95?will i round it off to the nearest tens?thank you so much!

  • @TheBullOfLewisham
    @TheBullOfLewisham 9 หลายเดือนก่อน +1

    Monday 11th December 2023.
    23.32pm.
    "Dear Sir/Madam. Good-evening. How are you? I trust you are well."
    My Brother, is studying percentiles and he told me "it Is very complex but is good". Once he gets his Degree he is going on to do his Masters." 🙂
    Yours Faithfully.
    Mr Francesca Kray.

  • @Bostonchamps295
    @Bostonchamps295 3 ปีที่แล้ว +9

    I remember watching this guys videos when I was a freshman in high school, now im a senior in college and yet EVERY time I find myself going back to these videos because they are SO EASY to understand

  • @huntervolcan9218
    @huntervolcan9218 5 ปีที่แล้ว +14

    This is so much easier to understand than what I am reading in my text book.

  • @FrancisSantala
    @FrancisSantala 10 หลายเดือนก่อน +1

    I LIKE THE GOOD WORK U ARE DOING BUT CALCULATIONS ARE WRONG TRUST ME OR ASK ME WHY

  • @Ravey988
    @Ravey988 4 ปีที่แล้ว +8

    Thank you soooo much ‼️ this explanation was the clearest one I found so far and it helps so much given most classes or online during this pandemic. I now feel like i can do this 🙏🏾

  • @ericatwood856
    @ericatwood856 4 ปีที่แล้ว +7

    That was so clear and understandable. I watched the lecture videos for my stats course and it made no sense at all. This was extremely helpful!

  • @amoghili
    @amoghili 4 ปีที่แล้ว +14

    I'm over here trying to listen to my math teacher when I can just go onto youtube and just watch this video.
    This reeeeely helps.

  • @trxnqualyzed8719
    @trxnqualyzed8719 4 ปีที่แล้ว +5

    What if it's a decimal!? 😩😩

  • @marissa21211
    @marissa21211 หลายเดือนก่อน

    this video legit helped me understand this! no offense to my professor but he sucks at explaining this! :*(

  • @janeorji323
    @janeorji323 ปีที่แล้ว

    Hello
    You used *20* when solving for the 20th percentile. So why did you use just *8* for the 80th percentile instead of *80*

  • @aharon1108
    @aharon1108 2 ปีที่แล้ว

    what if you have more than 10 numbers and the numbers are much more complex to deal with ???? this is just an easy trick with 10 numbers I need a broader formula

  • @Unncaptured
    @Unncaptured ปีที่แล้ว

    its wrong youll have to avg the 2 numbers ie. 20th percentile would be 170+174/2 = 172

  • @zackhamzy608
    @zackhamzy608 4 ปีที่แล้ว +5

    This is such a more simple way than I was taught!!! Thank you so much

  • @karenlee6649
    @karenlee6649 4 ปีที่แล้ว +5

    You are an amazing teacher! You made this so simple to understand. Thank You!

  • @lawrencemaloya3992
    @lawrencemaloya3992 5 หลายเดือนก่อน

    ❤great video sir , please do an exmple on how to calculate the same percentiles , using grouped data

  • @Salvation1984
    @Salvation1984 2 ปีที่แล้ว +3

    You Sir, have a gift in teaching! Your kids are very lucky to have you, and thanks to technology, we are lucky to have you explain these concepts! Thank you!

  • @porschsbongz
    @porschsbongz 2 ปีที่แล้ว +1

    Thank you, now my headache is over...

  • @mrxakashii7133
    @mrxakashii7133 2 ปีที่แล้ว +1

    Thank u So Much❤🙏

  • @falcongaming1075
    @falcongaming1075 9 หลายเดือนก่อน

    Sorry but when i saw the thumbnail i literally saw johny sins😅😅

  • @johnsbiketi8312
    @johnsbiketi8312 6 หลายเดือนก่อน

    Wow that’s great work.nice well understood

  • @valentinagrbic7845
    @valentinagrbic7845 8 ปีที่แล้ว +13

    Omg! This is so great and clear! Thank you so much! You're an excellent teacher! :)

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +2

      +Valentina Grbic thank you, happy to help

  • @katymoran12
    @katymoran12 ปีที่แล้ว

    What if I only have 8 numbers instead of 10th ?

  • @lisasvideos944
    @lisasvideos944 7 ปีที่แล้ว +10

    You are amazing teacher, I have my exam tomorrow

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +3

      Just happy to help, best of luck

    • @solakenny1604
      @solakenny1604 7 ปีที่แล้ว

      Sir,what if you have a large population i.e 190,200,210,220,230.......480. How are you gonna get the percentile?

    • @wesselbotha3928
      @wesselbotha3928 4 ปีที่แล้ว

      @@solakenny1604 R programming

  • @sunnylk6991
    @sunnylk6991 5 ปีที่แล้ว +15

    percentile: (n+1)*p/100 your answer is wrong!

  • @matthewclarkfrancisco4653
    @matthewclarkfrancisco4653 5 หลายเดือนก่อน

    What if it is decimal? .30(5)= 1.5

  • @123Closure
    @123Closure 4 ปีที่แล้ว +2

    thank you for this! I've been stumped for the past 30 minutes

  • @fihliwemkhwana2523
    @fihliwemkhwana2523 2 ปีที่แล้ว +1

    Thank you for teaching me I needed it

  • @MrDogukan258
    @MrDogukan258 10 หลายเดือนก่อน

    that was good brian 👍🏻

  • @dangokissu
    @dangokissu 4 ปีที่แล้ว

    THANK YOU. omfg my professor keeps telling me I'm not following instructions correctly but she literally has NO INSTRUCTIONS like this. AND she disabled us from emailing other students so we can help each other out. She is EVIL.

  • @theghost8011
    @theghost8011 ปีที่แล้ว

    Dear Sir, THIS IS WOW!!! I Found myself giggling.
    wow.

  • @martinocoscelli3124
    @martinocoscelli3124 8 หลายเดือนก่อน

    This is all wrong.

  • @languageandmana9255
    @languageandmana9255 7 หลายเดือนก่อน

    Wow! You gave the simplest and quickest way of calculating it. Thank youuuuu

  • @KomalSHARMA-dg8xg
    @KomalSHARMA-dg8xg ปีที่แล้ว

    You are fabulous

  • @Golden_Tortoise
    @Golden_Tortoise 4 ปีที่แล้ว

    Are these statements all correct? a) < 174 = is the first 20 % of data b)

  • @MsVamPireChic
    @MsVamPireChic 6 ปีที่แล้ว +5

    I'm confused.....wouldn't it be 170 because 170 is the second number?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +2

      no, those two values are the 20% so 174 is the 20th percentile as 20% of the numbers lie below 174, make sense?

  • @zoetomkins1653
    @zoetomkins1653 3 ปีที่แล้ว

    Epic video

  • @issackjirma581
    @issackjirma581 ปีที่แล้ว

    Determine the 90th - 10th percentile for the data given below: Time to travel to college Frequency Cumulative frequency 1 -10 8 8 11 -20 14 22 21 - 30 12 34 31 - 40 9 43 41 - 50 7 50

  • @TheeFitBabe
    @TheeFitBabe 2 ปีที่แล้ว

    Question is why did you divide the 20 with 10 then the 8 was multiplied by 10?

  • @ashlyespela187
    @ashlyespela187 3 ปีที่แล้ว

    nice

  • @asooo6806
    @asooo6806 2 หลายเดือนก่อน

    Thank you so much🙌 This was so easy to understand.

  • @ItsMeltas
    @ItsMeltas 3 ปีที่แล้ว

    Oh my God! This simple calculation was giving me a headache, thank you sir

  • @GISSELLEhd
    @GISSELLEhd 3 ปีที่แล้ว

    I am not really fond of numbers and I am a Project Manager, this has saved my day. Thanks

  • @abhishekbal399
    @abhishekbal399 3 ปีที่แล้ว

    It is not totally correct … but workable. There is a difference between 20 percentile and 20th percentile.

  • @atharvajadhav9807
    @atharvajadhav9807 7 หลายเดือนก่อน

    JMac

  • @joshuagarnasa9267
    @joshuagarnasa9267 3 ปีที่แล้ว

    Thank you so much 💖,this explanation can give me a example on how can I solve the percentile

  • @justthegirl9799
    @justthegirl9799 6 ปีที่แล้ว +3

    What if the values are in decimal?

  • @narendrameena4862
    @narendrameena4862 3 ปีที่แล้ว

    What is means for 80 percentile????

  • @brigittehalun2437
    @brigittehalun2437 4 ปีที่แล้ว

    what is the proper notation/symbol for percentile? i.e p37, 37 %tile...

  • @janechinamo9323
    @janechinamo9323 4 ปีที่แล้ว

    i just beg for a help in my qn which is requred to find the 20th percentile of the data set 6,7,9,10,11,12,14,14,15

    • @bronxboy101
      @bronxboy101 3 ปีที่แล้ว

      9 would be the answer I think

  • @elainejones7877
    @elainejones7877 2 ปีที่แล้ว

    Wow! You made this sound so easy. Now it makes so much sense. You are a great explainer. Thank you so much!

  • @cedbentuzal9630
    @cedbentuzal9630 3 ปีที่แล้ว

    How about if value is not integers

  • @AnthonyGarcia-os2qw
    @AnthonyGarcia-os2qw 3 ปีที่แล้ว

    Thank you I just started taking AP Statistics

  • @Alinho1907
    @Alinho1907 3 ปีที่แล้ว

    hey so what about if it is in a descinding order do we still use the values above or greater than value x

    • @brianmclogan
      @brianmclogan  3 ปีที่แล้ว

      must be in ascending order

  • @ank3t591
    @ank3t591 4 ปีที่แล้ว

    Thank goodness you were here to help!😥Love from Mauritius ❤

  • @soliatadeboye8057
    @soliatadeboye8057 4 ปีที่แล้ว

    But what if you get a decimal do you round it or what do you have to do?

  • @jasminea4147
    @jasminea4147 3 ปีที่แล้ว

    You about to save my life in statistics😭

  • @rebeccarogers8141
    @rebeccarogers8141 2 ปีที่แล้ว

    Brian, thank you so much for this video! Beyond helpful!

  • @michelletomm9729
    @michelletomm9729 3 ปีที่แล้ว

    so happy to see you doing stats too. You demystified Pre calc last semester!

  • @mathhelpmadeeasy
    @mathhelpmadeeasy 4 ปีที่แล้ว

    This is a very interesting video on calculating percentiles. Finding percentiles is now easy. Thank you for sharing!

  • @niffniffhooray
    @niffniffhooray 6 ปีที่แล้ว

    If you have a whole number after finding the "locator" L, you're supposed to do (x sub L + x sub L+1)/2. This video was an oversimplification that some professors/teachers allow while others want the computation. And just to note, if you don't have a whole number for L, just round UP (not the same as rounding off).

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      cheers, thanks for sharing

  • @Ramansingh-ty1zv
    @Ramansingh-ty1zv 5 ปีที่แล้ว

    Then u saying if u wanna get 100 percentile it would be infinity ??? What would be 100pecentile ?

    • @lisalisaj.9288
      @lisalisaj.9288 4 ปีที่แล้ว +1

      percentiles are only 1-99, there is no 100th

  • @Treant.
    @Treant. 4 ปีที่แล้ว

    Thank you very much sir

  • @ibrahimahmad5161
    @ibrahimahmad5161 7 ปีที่แล้ว +2

    thanks U have said it all in just few minutes

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      that is what I like to do!

  • @JoeyVincent15
    @JoeyVincent15 2 ปีที่แล้ว

    Thank you!

  • @HirokoXD
    @HirokoXD 4 ปีที่แล้ว

    Thank you so very much! This helps a lot more than you realize

  • @omegaman4153
    @omegaman4153 3 ปีที่แล้ว

    thank you, excellent.

  • @leonorabiga5051
    @leonorabiga5051 4 ปีที่แล้ว

    Thank you for the clear and easy understanding!

  • @CODINC
    @CODINC 5 ปีที่แล้ว +2

    Isn't it supposed to be 172 for 20 percentile?

  • @shehab976
    @shehab976 4 ปีที่แล้ว

    sir u explain so simply....wow

  • @janaeallen7618
    @janaeallen7618 4 ปีที่แล้ว

    Meanwhile i got a decimal

  • @adityabramana8280
    @adityabramana8280 4 ปีที่แล้ว

    u suppose to add n+1

  • @ishan7975
    @ishan7975 4 ปีที่แล้ว

    @Brian McLogan
    What if it's a decimal!

  • @amind1317
    @amind1317 ปีที่แล้ว

    Clear and simple to understand.

  • @schnaicajeancharles6096
    @schnaicajeancharles6096 5 ปีที่แล้ว +3

    I’m confused on how you got 174 as the answer.

    • @mahendrabhaioza2085
      @mahendrabhaioza2085 5 ปีที่แล้ว

      That means that 20th percentile value r below 174 whicu is 2/10 numbers

  • @jjdd3980
    @jjdd3980 6 ปีที่แล้ว

    Can you please solve this problem????

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      sorry just able to solve what I am currently teaching

  • @Foxy994Anime
    @Foxy994Anime 6 ปีที่แล้ว

    i have 0.45/24 = 10.8 should i round off this to 11 or not? sorry im suck on math =(

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      depends on your data set

    • @qojoindia
      @qojoindia 5 ปีที่แล้ว

      Yes round it to the nearest intiger 11

    • @qojoindia
      @qojoindia 5 ปีที่แล้ว

      Hope you are using > (n+1) p/100

  • @jjdd3980
    @jjdd3980 6 ปีที่แล้ว

    What is the 33rd percentile for the intelligence quotient scores when the mean=100 and standard deviation=16?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      sorry just able to focus on what I am currently teaching

  • @corryamon4668
    @corryamon4668 5 ปีที่แล้ว

    What of the 100th percentile

    • @bec.des3
      @bec.des3 5 ปีที่แล้ว +1

      All of the scores are in the 100th percentile. It's basically 100% of the scores. 100th percentile will always be easiest to find for that reason, just look at the top number.

  • @shootfilmnotguns2023
    @shootfilmnotguns2023 ปีที่แล้ว

    I am confused. Wouldn't the 188 represent the 90th percentile since all scores are equal or less than that? There is only one number above and definitely all scores are equal or below that.