Calculate the MEDIAN of 2, 4, 6, 8 =? Basic Statistics EVERYONE should know!

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[@birdwatcher101gbh]

Skip to about 9 min 30 seconds to learn what you want to know. I have opened his videos for the last time. A lot of unnecessary talk.

[@marknieuweboer8099]

Every single one of his videos is like that. A few even last 20 minutes.

[@obsidiandwarf]

Hey. Thanks. :-)

[@Dr_piFrog]

Since there are an even number of numbers, the median would be the average of the two center numbers. Which would be 5. In this case the median = mean. There is NO mode for this set of numbers. Standard Deviation = √ 5 ≈2.236

[@tomtke7351]

Mean: Also known as the average, the mean is calculated by adding all the numbers in a data set and dividing by the total number of values. For example, for the data set 7, 12, 15, 7, and 4, the mean is calculated as (7+12+15+7+4)/5=9(7+12+15+7+4)/5=9. Median: The median is the middle value of a data set when it is ordered from smallest to largest. If the data set has an odd number of observations, the median is the middle number. If it has an even number, the median is the average of the two middle numbers. For example, in the data set 5, 7, 7, 8, 12, 15, the median is (7+8)/2=7.5(7+8)/2=7.5. Mode: The mode is the value that appears most frequently in a data set. A data set can have more than one mode if multiple values have the same highest frequency. In the data set 2, 10, 21, 23, 23, 38, 38, both 23 and 38 are modes

[@brucesstreet8204]

you can explain this in 1 min, why take 10?

[@TheBigBlueMarble]

Because the KZbin algorighm prefers videos of 10min or more.

[@TheOtherKine]

It also helps people understand the difference between average and mean, in a constructive way.

[@steveburke1519]

Although medians are not necessarily averages, here 5 is both the median and the average. Average is taken by adding up the elements and dividing by the number of elements: 2+4+6+8=20/4=5. Median is that number that 50% of the elements are more and 50% are less. if another number were on this list, say 14, then 6 would be the median. Since there are an even number of elements, you average the 2 middle numbers, giving 5.

[@Jim-fe2xz]

My statistics 101 professor on the first day of class said the key to statistics is to decide what you want the answer to be then look for the data that supports it. It was supposed to be a joke but in today's political world it was prophetic!

[@harrymatabal8448]

5

[@PaulinahPaulinah-tx1gx]

The median is 4 + 6 = 10/2 = 5. Or 2 + 4 + 6 + 8 = 20/4 = 5

[@mikev4177]

There is eternal (not just today's) joke in a political world: -There is delusion, there is deception, and there is statistics.

[@Colorado_Native]

​@@mikev4177What I heard is, there are lies, damned lies and statistics.

[@andrewharris4268]

No, it’s asking the right question that will lead to the data responses you require to support your proposal.

[@andrewharris4268]

You could have chosen a better data set to illustrate the differences and to show why one might be better than another.

[@charlesnash2748]

The mean is the average, derived mathematically by adding the array of numbers together and dividing by the total. The median is the midpoint in array of values or numbers. The mode is the number of most frequent occurrence.

[@gbone7581]

One sentence explains more than a boring 10 minute video, thanks! 👍

[@MrMousley]

MEDIAN means the number ''in the middle'' when the numbers have been arranged in numerical order. Here there is an even number of numbers, so 4 and 6 are ''in the middle'', making the MEDIAN (4+6)/2 = 5 MEAN is the average. All the numbers added together divided by the number of numbers. 2 + 4 + 6 + 8 = 20 Divided by 4 The MEAN is also 5. MODE is the number that appears most frequently in a list of numbers. so there is no MODE here.

[@silikon2]

Stunningly confusing video. “What’s the median of 2,4, 6, 8?” then spends 80% of the video talking about a completely different set of numbers with no justification whatsoever. Why is he describing the mean and mode in an 11 minute video about the median? You not stay focus. And where did the house stuff come from?

[@WestCoastProf]

Arithmetic Mean = 5 Geometric Mean = 4.4267 Harmonic Mean = 4.8 Please be more specific next time. Also, median is preferred to mean when data is skewed. Your data has a uniform distribution.

[@mabdub]

You make this process so complicated with all your wayward asides that I finally got fed up stopped viewing the video. I'm guessing that you are good at math but the steps in your video are very awkward to follow.

[@joeplourde8011]

The mean and median of these numbers is the same 🤔

[@paulw987]

Agree. Rather unfortunate since that may lead some to think that the median can be calculated by adding and dividing.

[@paulchauvin733]

In any evenly distributed set,or a large enough randomly distributed one, the mean and median will be the same.

[@VoightComp]

I taught mean, median and mode to my 5th graders using these examples: Median > the middle of a freeway has a median strip separating the lanes. Median is the number in the middle. Mode > pie ala mode means pie in the popular fashion. Mode is the most popular number. Mean > another word for average

[@aaronbredon2948]

The median of 2,4,6,8 is the same as the median of 4,4,6,10¹⁰⁰

[@johnfilak4751]

On a normal distribution . The mean , median and mode are equal. And the mapping leads to a beautiful Bell Curve 😊

[@uniquegiftpens]

Numbers should be used to solve problems not create them

[@amicandaroom]

I didn't subscribe = you took a 2 minute subject and stretched it to 10. Sorry.

[@russelllomando8460]

got 5 easy middle thanks for the fun 13/5 = 2.6

[@neilmccoy9390]

Any number more than 4 and less than 6 is a median. For example 4.5 is also a median.

[@melclark1066]

Why does it take you 10 minutes to arrive at an answer You can find in about two seconds?

[@lylestavast7652]

average of the 2 middle numbers if you have an even # of elements, so 5.

[@uniquegiftpens]

why over complicate things?

[@priscillawrites6685]

Piece of cake. I aced graduate statistics.

[@josemateu8929]

10

[@billbanta7189]

The main message missed in this video is that any conclusion reached from analysis of this data and a buck might buy you a cheap cup of coffee. Only 4 or 5 data points, especially with this much range would result in a good statistician saying “even though I could calculate all of these statistics, they would have no statistical significance. Either get more data or just guess. You have just as much probability of guessing the real answers.

[@rgrinnell]

5

[@barbaraburgoyne8359]

5...

[@charlesstraight5499]

5.

[@jackmandu]

The mean is 5, the median is the comma between the 4 and 6.

[@preciousatatsi]

😮

[@deborahgillespie368]

5

[@GlendonMasters]

Five(5) is the correct

[@DavidChadderton-g7d]

5

[@SportsIconsTV]

5

[@stevewilson6797]

5

[@kimngo5197]

3

[@rogerlucht222]

5

[@kevinkohut5096]

I would suggest not using a dataset where the mean and median are the same. Maybe on later examples, but right off the bat.

[@janeantonio6870]

5

[@johncalleja2117]

5

[@robertwoodroffe123]

. Five

[@bobegan2121]

5. Simple

[@colincampbell4261]

Five?

[@jeremyashford2145]

Using The Price is Right rules the answer must be four.

[@y2ksw1]

Balanced?

[@DJL0455]

WGAS

[@UserName-sj8fg]

I got it right, Yes, I know the mean, the mode and the median. And I hate the average.

[@Ayelmar]

Solved in my head at the thumbnail in under 10 seconds, the median value is 5. The median is the value that falls halfway between the lowest and the highest values in our data set, 2 and 8 respectively, and 5 is the halfway point.

[@Ayelmar]

Okay, I lucked into the right answer even though I misremembered th edefinintion a bit (hey! it's been 32 years since I took Stats!).

[@vickieworx365]

That's the average.

[@Ayelmar]

No, the average is the sum of all the data values divided by the number of values, in other words, the mean.@@vickieworx365

[@francisdelpuech6415]

@@vickieworx365in this particular case the mean and the median are the same!

[@bestdroidgames7503]

5

[@alberttatlock1541]

Talks a lot but says very little.

[@richb1576]

20 divided by 4 is 5. Thats how I was taught to do this back in elementary school

[@bobegan2121]

Correct answer, wrong reason

[@ravinderjohal1088]

24

[@neeldesilva8088]

24

[@rajeshvyas934]

5

[@solarwind907]

5

[@josephlaura7387]

5

[@jacquelinecollins1934]

5

[@eligoitein6499]

5

[@tamarakoridze4629]

5

[@samswift4921]

2.6 mean 5 median

[@FMFVeteran]

😀

[@CarlJones-h7v]

2

[@lindyloya2828]

1234

[@chrisdissanayake6979]

5

[@elenadicion6563]

5

[@laurenzonc4506]

5

[@stevenraymond2296]

5

[@mylittlepitbull3143]

5

[@OSwaby]

5

[@Jag_jay]

5

[@haroldgoins4988]

2

[@rajeshvyas934]

2.6

[@terry_willis]

6

[@garyforagerjr5074]

5 yes?

[@taiwanfocus4385]

A better question would be: what is the median of 2, 4, ,6, 6, 8?

[@FastEddy1959]

@@taiwanfocus4385 There is no median for those data.

[@Phil_Free.]

nice reviewed

[@andrewharris4268]

The Mean, although frequently quoted especially by the media, can be an unhelpful representation of a data set. Whenever you hear an average quoted by media or politicians, always ask yourself whether it might be misleading.

[@grumben123]

Good point. For example…. The mean number of testicles per person in the human race is more or less 1. That tells us nothing and is actually misleading as to distribution. Mean without distribution or estimate of deviation is dangerous.

[@andrewharris4268]

@@grumben123 Practically, the Mean will be skewed by outlier values, often being incorrectly collected or errors on data entry.

[@sharufun209]

u didn't explain mode....

[@bazkeen]

Watch again. He explained Mode quite well

[@giannaleoci2328]

(2+4+6+8)/4= =20/4=5

[@keymaker-k7h]

thats the method for working out the mean average... the median (with an even amount of numbers) is the middle two numbers added together and divided by two- 4+6= 10 ÷2 = 5....in this case the mean and median averages are the same..✌️

[@ajitandyokothakur7191]

For your example, 2,4,6,8, there is no unique MEDIAN defined. A unique MEDIAN is only defined when a set of data has odd number of points. For an even number of points, we accept the mean (aka arithmetic mean or average) of the two middle data points. In this case, the calculated MEDIAN = (4+6)/2 = 5. Notice, the MEDIAN is not a representative of the data set. It is a calculated value and depends on how it is calculated. A representative MEDIAN only exists for an odd number of points. Also, should be noted, for a symmetric distribution (viz. a Normal aka Gaussian distribution), the MEAN = MEDIAN = MODE. There is another problem with your blog. Tha word DATA (not to be pronounced as DAYTA as you pronounced), is always pleural, Because of that, you should say "Data are", not "Data is". The word DATA comes from Latin. The singular form is "DATUM", and the pleural form is "DATA". You could say "A DATA point" is", or "A DATUM is", but not "DATA is"; it is "DATA are". Dr. Ajit Thakur (USA).

[@gavindeane3670]

Don't worry - he's speaking English, not Latin. Singular "data" is fine. It's completely standard usage. And pronouncing it "day-ta" is normal too. No idea where you got the notion that that might be incorrect.

[@richardhole8429]

When there are an even number of data, the median is defined by the mean of the number below and number above the center. And nobody cares about "datum" data is used for both singular and plural unless you actually speak Latin.

[@argonwheatbelly637]

​@richardhole8429 : although we do use "reference datum" in technical manuals.

[@FastEddy1959]

@@gavindeane3670There is a definite difference between “common” and “correct”. The word “data” is only truly correct as a plural. Further, “literally” is not a synonym for “figuratively” nor for “essentially”, and final pedagogical point; if it can be counted, use “fewer” not “less”. That checkout aisle should be marked as “ten items or fewer”!

[@gavindeane3670]

@@FastEddy1959 There is a distinction between common and correct but it is not absolute. Usage can become correct by becoming common - that's how language evolves. Singular "data", for example, is correct English, even if it might not work in the original Latin. I'm pretty sure you'd be fighting a losing battle against the figurative sense of "literal" too. I wouldn't bother picking that hill to die on if I were you.

[@hexbinoban6170]

Even numbers Set of even numbers {2, 4, 6, 8} Median: ( 2 + 4 +6 + 8) / 2 = 20 / 2 = 10 Ans :: 10

[@thomasharding1838]

How can the median be outside of the range of the given numbers in the set?

[@corwyncorey3703]

@@thomasharding1838 It can't. They are flat wrong. Of *course* the median cannot be more than the set's range. A tiny moment of logic and critical thought would have helped here. Even if their method were correct a simple mathematical error stopped them from being right: (2+4+6+8)/2=*10* not 20 10/2=5 (which *is* the correct answer in this case) An error like this is akin to sliding a decimal place, and so blatantly obvious that any kind of checking one's answer would have caught it. However people are so eager to be special these days that when they think they are right, and others are wrong, they *leap* at the chance... before checking their work. The assumption of "I am correct and everyone else is not" is far too prevalent I fear.