Well explained but this is simpler: Step 1: Order the data set from ascending to descending Step 2: Find the middle of the data (basically half the data) Step 3: Then find the middle of the each half of the data The middle value of data on the LEFT from the half you did is LOWER QUARTILE The middle value of data on the RIGHT from the half you did is UPPER QUARTILE Step 4: State the median odd number use (n + 1) / 2 (n representing as the number of values in the data) even number use n/2 + 1 (n representing as the number of values in the data) Step 5: Calculate the range (if the question ask for range) Range = Largest value - Smallest value Step 6: Calculate the interquartile range (IQR) (if the question ask for interquartile range) IQR = upper quartile - lower quartile
what if there is a list of 500 values ? would you count it manually ? formula for median : (n+1)/2 if n is odd, (n/2 + (n+2)/2)/2 if n is even. Formula for quartiles : 1st quartile : 25/100*n , 2nd quartile : 50/100*n, 3rd quartile : 75/100*n where n is the number of values in the given list. in this question n is 13 for all these formulas because there are 13 values in the given question.
questions. Find the Median and Quartiles and 8 and 9 Deciles the following frequency distribution (10) Class 50-54 457 45-49 490 40-44 525 35-39 30-34 520 508 405 60-64 166 55-59 416 25-29 frequency 20-24 222 interval
Hi teacher I would like to know the result of this sample : 10, 12,16,17,20. I know 16 is the median but Q1 and Q3 I’m getting confused. Please can you help me. Thank you.
Hi. This video shows the "schoolbook" way of finding the quartiles. It's the easiest way. Unfortunately it's a silly way to do it though as you get an inconsistent behaviour depending on whether the number of data points are an odd or even number. There are actually about 5 different ways to calculate it, which gives sometimes different answers. In his example programs like R returns Q1=1, Q3=17 for very good reasons. It's not 19.5! R finds the quartiles in the following, completely logical way. Let the number of data you have be n+1 indexed [0,1,2,..,n-1,n]. Q1 are found in index n/4, Q2/Median are found in n/2 and Q3 is found at index 3n/4. Often you will have to interpolate since the ratios can end with 0.25 , 0.5 and 0.75. In his example sample size is 13 hence n+1=13 => n=12. So the indexes for the quartiles are actually whole numbers (they will always be if the sample size can be written as 4k+1 where k is an integer), hence indexes 3,6,9 starting couting the first index as 0, hence Q1=1, Q2=6, Q3=17. Your example will simply give Q1=12, Median=16, Q3=17. Don't let this schoolbook approach of doing it in this video confuse you. We do not want to find them in that way in reality.
@Tahsin Yasmin According to the "schoolbook method" yes. But that method is not logical whatsoever. Consider a linear array [1,2,3,...,n]. Note how Q1 and Q3 will not grow linear as you increase n. Q1 will oscillate between not changing at all and changing by a half every second time. Q3 will oscillate between changing a half and changing a whole every second time. A clearly unwanted behaviour, which is why actual non-educational programs and software don't use this schoolbook method. Q1 and Q3 for for the data [10,12,16,17,20] is simply 12 and 17 actually.
Well explained but this is simpler:
Step 1: Order the data set from ascending to descending
Step 2: Find the middle of the data (basically half the data)
Step 3: Then find the middle of the each half of the data
The middle value of data on the LEFT from the half you did is LOWER QUARTILE
The middle value of data on the RIGHT from the half you did is UPPER QUARTILE
Step 4: State the median
odd number use (n + 1) / 2 (n representing as the number of values in the data)
even number use n/2 + 1 (n representing as the number of values in the data)
Step 5: Calculate the range (if the question ask for range)
Range = Largest value - Smallest value
Step 6: Calculate the interquartile range (IQR) (if the question ask for interquartile range)
IQR = upper quartile - lower quartile
Missed a couple 😂😂💯💯💘 lmao got me dead
Thanks so much for this!- I didn’t understand anything about quartiles and you explained it perfectly. Thank you!
SERIOUSLY, THANK YOU SO MUCH, I NEEDED THIS! VERY QUICK TO LEARN. THANK YOUUU, MUCH APPRECIATED
That was painful to watch u put the numbers in order at the start
People make mistakes all the time its normal
It's because he's American
I agree.
This comment made me laugh out loud
Fr
Bruhh how many mistakes did you make😭😭😭
Wow great lesson, so perfectly executed. One for the books (literally).
Thanks man
I didn’t understand anything about quartiles and you explained it perfectly. Thank you
thank you christian u a real one my g
Dude you taught me how to do this faster than my teacher could at school! Thankyou!
Thank you this helped me so much
I have read about quartiles but none of them were as efficient as this video. Thank you !
Thanks I have an exam tomorrow and you helped me ❤
what if there is a list of 500 values ? would you count it manually ? formula for median : (n+1)/2 if n is odd, (n/2 + (n+2)/2)/2 if n is even. Formula for quartiles : 1st quartile : 25/100*n , 2nd quartile : 50/100*n, 3rd quartile : 75/100*n where n is the number of values in the given list. in this question n is 13 for all these formulas because there are 13 values in the given question.
Thank you so much. This will help in my test.
Thankyou so much. Literally, you explained it so perfectly
Very simple easy to use
Thanks Christian. It's easy, but I didn't pay attention in class, so I got lost.
you gained one subscriber.
thank you, sir.
Ty well explained even though you done a couple of mistakes 😅🤝
You just earned a new sub❤
thats a nice ass pen
Thanks so much
I was absent when my class took this and I just found out I gave a quis in it tomorrow
Thank you !
Thank you so much ❤️
Perfect explainer
questions. Find the Median and Quartiles and 8 and 9 Deciles the following frequency distribution (10) Class 50-54 457 45-49 490 40-44 525 35-39 30-34 520 508 405 60-64 166 55-59 416 25-29 frequency 20-24 222 interval
Yessss This helped a lot!!! Thanks so much!!!
Good Explanation👍
thank you sir i learned this for the first time
That’s Great!
thank you so much i really needed this
Thank you 😊
Kindly provide derivation of lower and upper quartile for n=even
thank you sir your video was really helpful
I love you, man! Im Russian, but ur explaination is so easy to get it) sorry for mistakes
Legend you are Sir. Hats off........
Thank you
Thank you so much💗
Thank u so much
No problem, Glad I could help!
yo this helped so much thanks
Thank you so much for this, it was so helpful!!
You're so welcome!
Good job boy
Thankyou so much!
thank you so much, you perfectly explain in 4 mins what my teacher can't explain in 30 mins
Thanks for the kind words, glad I could help!
Thank youu!!!
Thank you so much, that just helped me to understand how to work with the "QUARTILE" function in Excel.
so helpful, thank you!!
so helpful
I'm glad I could help!
Thank you so much... this video was so helpful ❤️
amazing explanation!!
Thx
Thanks this really helped
this is like me! i also make alot of mistake when arranging the numbers in order 😅
Cheers mate
You solved like me Lol with a confusion while sorting
this video helped an indian lol
Thanks sir watching you from india 🙂✨🙂✨🙂✨✨✨
this is he most confusing explanation of quartiles but everyone sayd it helpd thm so maybe im just dumb
This is the simpliest method to solvr
Okay but what happens when you have
1,3,4,7,8,12,16
Because then the median is 7 but what are the ranges because there are 3 numbers not four or six
Not complicated especially if you are writing a paper tomorrow
thx bro very helpful
Specify the goal and need money
Hi teacher I would like to know the result of this sample : 10, 12,16,17,20. I know 16 is the median but Q1 and Q3 I’m getting confused. Please can you help me. Thank you.
Hi. This video shows the "schoolbook" way of finding the quartiles. It's the easiest way. Unfortunately it's a silly way to do it though as you get an inconsistent behaviour depending on whether the number of data points are an odd or even number. There are actually about 5 different ways to calculate it, which gives sometimes different answers. In his example programs like R returns Q1=1, Q3=17 for very good reasons. It's not 19.5! R finds the quartiles in the following, completely logical way. Let the number of data you have be n+1 indexed [0,1,2,..,n-1,n]. Q1 are found in index n/4, Q2/Median are found in n/2 and Q3 is found at index 3n/4. Often you will have to interpolate since the ratios can end with 0.25 , 0.5 and 0.75. In his example sample size is 13 hence n+1=13 => n=12. So the indexes for the quartiles are actually whole numbers (they will always be if the sample size can be written as 4k+1 where k is an integer), hence indexes 3,6,9 starting couting the first index as 0, hence Q1=1, Q2=6, Q3=17. Your example will simply give Q1=12, Median=16, Q3=17. Don't let this schoolbook approach of doing it in this video confuse you. We do not want to find them in that way in reality.
@Tahsin Yasmin According to the "schoolbook method" yes. But that method is not logical whatsoever. Consider a linear array [1,2,3,...,n]. Note how Q1 and Q3 will not grow linear as you increase n. Q1 will oscillate between not changing at all and changing by a half every second time. Q3 will oscillate between changing a half and changing a whole every second time. A clearly unwanted behaviour, which is why actual non-educational programs and software don't use this schoolbook method. Q1 and Q3 for for the data [10,12,16,17,20] is simply 12 and 17 actually.
❤❤
I guess you did a wrong because the median is the 7 th. It is 22 but you choose 6 in your order
easy
💕
I think upper quartile is 17
22+11= 33
Salamat po
💪🏽💪🏽💪🏽💪🏽💪🏽💪🏽💪🏽💪🏽💪🏽
Solve it
ur tapped
Bro just re record your video if u get it wrong it would be so much better
1+1 = 1
Dude thank you I’ve spent the last day stressed trying to figure this out for a colledge class bless you