How to construct a grouped frequency distribution

This video briefly demonstrates how to construct a grouped frequency distribution for a data set with a large number of observations and a large range.

[@before120]

I did very well in my first stats class, but three semesters later, I'm taking a pre-req psych stats class and needed a refresher in creating thorough freq. distribution numbers. Yours is the only clear, detailed explanation I found showing everything relevant; thank you!

[@its_mows]

U may have my first born child as tribute. Thanks for this

[@OnkaOLB]

Mine as well, thank you

[@thefruitiestvegetable]

Y'all are bold fr

[@markchirwa1610]

😂 😂 😂 😂

[@markchirwa1610]

Statistics 😫😫, am a student at Lilongwe University of Agriculture and Natural resources in Malawi buh this thing called Stat will kill us 😫😫😫

[@fennygypsy]

😂 😂

[@underthehazeltree4514]

This is such a great explanation! Thank you so so much!

[@zionious6657]

Wow you’re brilliant and generous best combination that Most professors should have thank you

[@jwalanemtamboneria8644]

What if the number of classes it’s not specified how do we calculate the width ?

[@yelenavillegas9435]

Thank you so much for this video !

[@christopherpadilla715]

Thank you!! This helped with my Statistics hw immensely!

[@sailorwinx9680]

This is helpful, THANK YOUUUU FOR THIS LESSON

[@Izemartinez]

This was so easy to understand, thank you sir.

[@nikitasalikram1306]

This was so utterly simple to understand thank you so much

[@shahfaisal9674]

Tnxxx a lot from the core of my heart

[@nuvannicholsonhaspe2631]

Thanks. This video is a big help to me.

[@user-xw1nu3wk7o]

Thank you so much for your dedication to teaching young minds!!!!!!!!!!!!

[@ashraelrafael3598]

do u have a playlist of this? thanks for the answer

[@dkedztouch4856]

This helped a lot thank you

[@gracemelegance6623]

Watching this I I prepare for my icm exam. Thank you for this so helpful.

[@relebohilemafeto4554]

How to draw histogram from the class boundaries starting from - 0.5?

[@ChrisellaJung]

When you round off. You can only add one or increase the number when the decimal is 5 above right? So why is it 14 when the number with a decimal is 13.3 that when you round off, shouldn't it be just 13? Thanks for whoever can answer me.

[@lancefuentes5852]

same thoughts. i got confused as well

[@009Raines]

right yeah this part is confusing the class width is higher than second largest value for me

[@maymay6572]

Because if you will use 13, the highest data will not be included in the table

[@RNP09]

It should always be round up

[@RNP09]

And he said that round "up"

[@kimkim9497]

Thank you so much I was so confused but now I get it now

[@hawajaaffari4401]

Thank you so much. Before I couldn't understand how can divide a suitable group. Be successful

[@diddytheboerboel]

Great job🙏, it was clear and precise!

[@natalleeayman7880]

thank you! YOU ARE A LIFE SAVER

[@fennygypsy]

🥳🥳🥳 I passed my sta116 exam, thanks to vidz like yours

[@saeedsanusi7260]

This is a good video it helps me a lot

[@ericphilip]

Thank you big time!!

[@Natalie-zz5ko]

thank you! This actually helped!

[@REEMA-mo3hf]

Thank you so much statistic is easy in this way👍🏻♥️♥️♥️♥️

[@elagopaulus3017]

THANK YOU VERY MUCH!!!!!!GOD BLESS YOU!!

[@isabelfodge9048]

So Good!!!! Thank you so much!

[@onthutemotlhabane5697]

Great Content. I have a question though. If you're not given the value for number of classes. how do we calculate that part??

[@serenas3063]

You always should be gIven that, it’ll either be bin width or some categorical number that tells you how many groups.

[@NoraAlmesaffer-mi8sn]

Thanks for the big help 😊

[@sarahboke1903]

Thank you so much for your help

[@azalor3223]

My note is a mess but thank youuuu its worked. God bless you ❤️

[@seaneletanmpepe6957]

what is ment by the "previous class" when computing the very first comulative frequency

[@Tweetyzainab]

Thankyou so much it is so helpful .

[@saeedsanusi7260]

A wonderful video

[@argeeonaler1911]

How you get the frequency?

[@markbagwell5051]

Thanks!

[@user-tg3wb7vt6p]

Thank you so much 💗💗

[@zabihullah2058]

Hello cuteee

[@HarryPotter-ci4bp]

Thank You!

[@Piinnkbunnii]

Thanks so much!

[@mahkhan3157]

Thankyou so much💕

[@1000Zapatero]

Class Boundaries are a silly waste of time if you are not recording fractions of a day.

[@luminous5188]

could you do an explanation video for if the no. of classes isnt specified?

[@jfrench]

The only thing that would change is that you would have to decide on the number of classes yourself. There is no way to construct a grouped frequency distribution without knowing the number of classes. A common rule is to have the number of classes by something close to the square root of n, where n is the sample size.

[@anthonyeisenluna8477]

there is 1 way tho n= 1+3.3log N , where n is the number of classes and N is the number of data you have.

[@jfrench]

​@@anthonyeisenluna8477 Thanks Anthony. Yes, there are multiple approaches for choosing the number of classes based on the number of observations in the sample.

[@luminous5188]

Thank you both! My teacher hadn't explained it so I was confused

[@klaviergavin5401]

You can use Sturges Formula.

[@detgarchitorena3240]

Thank you I understand this🥺

[@user-bx1vx8yd1q]

Thank you so much

[@mry_elii]

thank you so much!!!!

[@2010smeh]

So, what’s the difference between the tally and frequency values then?

[@before120]

I thought the same thing...in my stats class, we didn't use a "tally," but just the frequency and cum. freq. The "tally" was merely a stepping stone approach to get perspective.

[@zenithmagandan1958]

Thank you so much! 👏

[@lydiamensah8018]

How did you determine the classes?

[@jfrench]

The range [max - min] divided by the number of classes (rounded up based on the last decimal place of the observed data). In this case, (93 - 0)/7 = 13.3 -> 14.

[@ChrisellaJung]

Also, is the class size has to do something with how many rows are in class limits?

[@maymay6572]

Our instructor said that the class width should be odd. I'm confused:(

[@before120]

its easy to instruct with odd and they just may want you to use that but it doesn't have to be.

[@samjacob815]

Thank you

[@ireneee7279]

What if my class width is 4.01 am I suppose to round it up to 5?

[@jfrench]

Technically, yes, if your data are integers. Otherwise your classes won't be wide enough to capture all the data.

[@1000Zapatero]

Round UP to match the decimal resolution of your data. For integers it would be 5. If your data had 1 decimal, it would be 4.1. For 2 decimals 4.01 would be fine.

[@jfrench]

@@1000Zapatero Excellent point. In this example, the data are integers. But the algorithm changes based on whether the data has decimals.

[@zabihullah2058]

Can't Rule is rule

[@tukai7554]

Thank you sir

[@faithbaptistchurchofbongab5414]

How about if my range is 5, no. of class is 6... My class width is 1. How can I make a class limit? My values are 0, 1, 2, 3, 4 and 5 with the frequency of (0 has 7)(1 has 7)(2 has 5)(3 has 3)(4 has 2)(5 has 1)

[@jfrench]

In your case, because you have such small numbers, you probably want your class width to be 5/6 = 0.833 -> 0.9. Then your class limits are 0 to 0.9, 1 to 1.9, etc.

[@faithbaptistchurchofbongab5414]

@@jfrench thank you so much sir...😊

[@nileshjagjivan1531]

tnx appreciate it...

[@michaelcnyoka5909]

What if the number of classes isn't specified?

[@REXcia]

THANK YOU SM

[@sassyjenniekim9708]

why would you round that up if the next number to that decimel value is below 5?

[@lotusbogus]

You always round up even if decimal is lower than 5 so 4.2 is rounded up to 5 and 6.1 is 7 and so on.

[@johnlloydbacquiano2761]

How did you find the frequency?

[@before120]

The number of observations according to after you Tally, in this case, 14, is your starting frequency.

[@hashtagcoding5809]

Thank You

[@Thematic17]

where did u get the width?

[@Thematic17]

I mean how did it become 14 if u only get 13.3 u cant round off if its a smaller value right?

[@Thematic17]

ok now I get it after rewatching again its not round off but a round up but my last question is how to know the number of classes? because yours is already given Idk how im going to just specifically give a number of class

[@jfrench]

@@Thematic17 Good question. Most problems will simply tell you the number of classes to use. If it is not given, then a common rule is to use something close to sqrt(n) where n is the number of observations. In this example, we have 33 observations, so n = 33. sqrt(33) is about 5.7. So that rule would suggest using 5 or 6 classes. 7 is a bit larger, but not by much.

[@lazyjuice8796]

How about 1.58? Should it be 1.6 or still 1.58?

[@mathewbrigman5592]

If the numbers you’re working with have 2 decimal places (ex 2.69) then keep it at 1.58, if they have only one (ex 6.9) then round up to 1.6 or if there are no decimal places (ex 420) the round up to 2

[@mutuwabrenda1450]

Thanks alot

[@mubashirkhan9511]

🤔 3:00 I didn't understood one thing that why did we round off 13.3 to 14 we would have round it to 13.

[@arigyenancy-pr7hx]

This CONFUSED me too

[@JustinRoy-hv7bt]

It does help to get away with my quiries ❤

[@jayflorenzdominguez3122]

can the frequency be 0?

[@wilsonmarinmontoya4318]

Gracias.

[@3.1415vp]

Thanks bro

[@maounobunaga5491]

I still don't get how did that 13.3 become 14 all of a sudden

[@FijiVlogs]

Hiii As far as I know ..we round "up" the class width...that is round up to the nearest whole number For eg: 2.35 will be 3 4.8 will be 5 29.01 will be 30 I hope that helped❤

[@spacemonkey7710]

THANK YOU SO MUCH @!!@!#!#@#! i have some answersheet to answer and thank you so mucjh

[@geoplane3799]

Ur better than most math teachers

[@mathewbrigman5592]

It probably helps that we can watch this on our own time and pause it when we need

[@idekh6710]

thanks

[@nmilapo4980]

Thanks

[@IceyCubed]

Nice

[@keiferbell6968]

THE GOAT

[@before120]

he-he!

[@collinsogalloh8357]

I dont understand those your tally and observations...how

[@rahulthakan6863]

What to do when no. Of classes aren't specified in the question.

[@rronquillo1521]

Usually pick a class between 5 - 16 i think

[@mukuhimuiga9856]

Use staurges formula

[@jfrench]

If the number of classes is not given, then a common rule is to use something close to sqrt(n) where n is the number of observations. In this example, we have 33 observations, so n = 33. sqrt(33) is about 5.7. So that rule would suggest using 5 or 6 classes. 7 is a bit larger, but not by much.

[@ananthasaayiphakeerathan1615]

very helpful sir thank you

[@laquetta4090]

Wow! Thanks for putting it in laymen terms lol

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[@mathewbrigman5592]

@@zabihullah2058 this got weird

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[@Khizar_Ansari]

R=48-18=30 m=5 h=30/5=6 If I make 5 classes of height 6 then I do not get the highest value in the last class Limit. Please tell me how to solve this

[@isaacdonkor6643]

why did you do the tally anyhow 😒

[@jfrench]

I didn't do all the tallies, I only showed an example of how they are done. The reason you do the tallies is to count the number of values in each bin. You can do that directly, but it's easier to mark a tally in the appropriate bin for an observation, cross out the observation, and then move onto the next observation. You can simply count the number of values in each bin directly, but it's very easy to make a mistake that way.

[@lazyjuice8796]

How can 2.123 become 2.2? It should be 2.12 right or not?

[@chavezjimueljr.6429]

Because in data distribution table we always round up no matter what number of decimals He mention it in the video

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[@Tinyppman]

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w=16

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[@kyrumie1739]

Thanks