Quartiles, Deciles, & Percentiles With Cumulative Relative Frequency - Data & Statistics

This data and statistics video tutorial provides a basic introduction into quartiles, deciles, and percentiles. It explains how to find the quartiles of a data set and how to calculate the deciles and percentiles using a cumulative relative frequency table.
Introduction to Statistics:
• Introduction to Statis...
Arithmetic, Geometric, & Harmonic Mean:
• Arithmetic Mean, Geome...
Simple Frequency Tables:
• How To Make a Simple F...
Relative Frequency Distribution Table:
• How To Make a Relative...
Cumulative Relative Frequency Table:
• How To Make a Cumulati...
_________________________________
Dot Plots and Frequency Tables:
• Dot Plots and Frequenc...
Stem and Leaf Plots:
• Stem and Leaf Plots
Side By Side Stem and Leaf Plots:
• Side by Side Stem and ...
Histograms:
• How To Make a Histogra...
How To Make a Frequency Polygon:
• How To Make a Frequenc...
__________________________________
Quartiles, Deciles, & Percentiles:
• Quartiles, Deciles, & ...
Interquartile Range & Outliers:
• How To Find The Interq...
Skewness & Symmetric Distribution:
• Skewness - Right, Left...
Sample Mean and Population Mean:
• Sample Mean and Popula...
Mean, Median, & Mode - Grouped Data:
• Mean, Median, and Mode...
____________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: th-cam.com/video/STSP8gTSdT8/w-d-xo.html

[@ApexReign]

I love how when we needed to learn something number related and we cant understand anything from the books, teachers, recording, and the web, this is where we all end up

[@lifeofmiradc]

Exactly 🤗

[@beyikcykarylano4522]

To find Quartiles use this formulas for grouped data
Q1 = n/4,
Q2 = 2n/4,
Q3 = 3n/4,
To find Decile use this formulas for grouped data
D9 = 9n/10
To find Percentiles
P99 = 99n/100
where n is the sum of frequency.

[@GoToMan]

2n/4 is the same as n/2

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Appreciate the lucidity! This cleared my longstanding question of "How to calculate percentiles?" ;)

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[@partypao]

13:50 The 4.25th position between 9 and 11 is not the middle of 9 and 11 (ie 10), but the .25th of it which is 9.5

[@gregoryopondi3652]

Yes, exactly. So what is Q1 in this case? 9.5 or 10? This is where I'm stuck.

[@jayralph7165]

what the heck are you saying? it's 10 when you get the midpoint of the two values 9 and 11 by adding them up first and dividing by two you will get 10.. you didn't follow quite well

[@mars7540]

​@@jayralph7165 its not 10, 4.25th postion cannot be 10 since the 4.50th position is 10. For example, 3.76th, 7.23th, 4.97th, you cant just go and add up the 2 numbers and divide by 2 to get your answer. The only time where you can do that is when the position ends in a 50th so like, 3.50th, 4.50th, etc etc. The guy in the video is missing a step called interpolating which requires creating the fractional equation of the differences. Hope people can see through this mistake.

[@librawood10107]

How do you get the .25 and the .75? To find Q1 and Q3😢

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Ngl, it kinda blows my mind on how easy you taught this. . . i know it wasn't that hard, but my teacher got a harder solution.

[@tawheedmohammadsayyid390]

Thanks man. Just needed a brush up on this. Helped me!

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for an incredible introduction to Quartiles, Deciles and Percentiles using a Cumulative Relative Frequency Table. Although I have seen this material before, this is the first time that I have some understanding of how to calculate the deciles and percentiles using a cumulative relative frequency table. A basic course in Statistics would improve by overall understanding of this topic.

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Day1: learned.
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The video is very helpful. Can u please explain when to take the exact lowest value for the percentile point and what to do when it ties?

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[@gideonofosukyere491]

Very clear explanations. Thank you

[@phennyzheng5623]

Thx for sharing. Bt wrong answer for q1 and q2. the answer for Q1 and Q3 is not just simply find the median of minimum (or maximum) value and Q2. In you calculation, location of q1 4.25 and q3 12.75 are right, but (9+11)/2=10 is not the right q1. Correct answer should be Q1=4th+(5th-4th)*0.25=9+(11-9)*0.25=9.5.
Q3=12th+(13th-12th)*0.75=19+(20-19)*0.75=19.75.

[@lorenzotolentino5954]

i noticed it too, i think the answer for 10 is 4.5 not 4.25, (correct me if im wrong)

[@abramgaelisabelo6398]

Thanks this clarifies my confusion

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[@patriciabatanda3948]

The video is extremely helpful. Thanks

[@mars7540]

Alright people arent catching his mistake here. At 13:50, 10 is not the 4.25th postion since the 4.50th position is 10. For example, 3.76th, 7.23th, 4.97th, you cant just go and add up the 2 numbers and divide by 2 to get your answer. The only time where you can do that is when the position ends in a 50th so like, 3.50th, 4.50th, etc etc. The guy in the video is missing a step called interpolating which requires creating the fractional equation of the differences.

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[@gwynethsignaben1287]

my teacher said that if ever we are solving for the value of Q1 we should always round up and if Q3 then we should round down.....so confusing :

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this helped but my teacher did something different but you helped me understand what is what so thanks!

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[@estherflowers2983]

very helpful. enlightened me a lot. thank you!

[@samsonkamau6640]

On the quartiles, percentiles and deciles ,when a decimal point occurs, we incorporate linear interpolation Eg in example (16:00) 60th percentile = 60/100 (16+1)th value= 10.2th value= 10th value +0.2(11th value - 10th value) = 10 + 0.2(17 - 16) =10+ 0.2(1) = 10+0.2 =10.2 . This also applies to the rest of the examples with decimal points. We deduct the next number (11th value) to the found value (10th value) and multiply by the decimal point (0.2). 0.2(17-16)

[@minigoal4672]

I noticed he didn't do this, but my lecturers did.

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Depending on the level of learning, whichever method is acceptable.

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[@royjustinevirtudazo8825]

I did a trial of finding the midpoint of the 50th and 62.5th percentile (23:13), and the result is the same, it's 56.25. So we can really estimate that 16 (the first 16) is the midpoint of the 50th and 62.5th, which is 56.25 (approximately 56). But yeah it's just an estimation.

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hi, do you recommend using interpolation method?

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