How to Make Frequency Table, Histogram, Polygon and Ogive

  Рет қаралды 196,247

HelpYourMath - Statistics

HelpYourMath - Statistics

Күн бұрын

Пікірлер: 182
@BurmeseUSA
@BurmeseUSA 4 жыл бұрын
I dont remember how many times I refer back to this video. so helpful to me. thanks .
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
I'm glad it helped
@murungigeofrey7482
@murungigeofrey7482 Жыл бұрын
Thanks I am Moses 💕🥰
@ReadySeasoning
@ReadySeasoning 6 ай бұрын
Me, who was confused about an exam, which I will be taking next week,and God gracious, I discovered that video, and it really helpful and beyond ❤
@helpyourmathstat
@helpyourmathstat 6 ай бұрын
ou are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@amoahbright696
@amoahbright696 Жыл бұрын
Thank you instructor. I love your pace and explanations as to which parameters to use for which graphical representation
@helpyourmathstat
@helpyourmathstat Жыл бұрын
You are very welcome! :)
@zipporahwanjiru4270
@zipporahwanjiru4270 4 жыл бұрын
She really made me understand and learn new things about frequency
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome! :)
@RekiaBrown
@RekiaBrown Жыл бұрын
thank you. this video is really help. i love how patient and clear you make sure to be in every step
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@herbydeslorge
@herbydeslorge 2 жыл бұрын
Thank you Miss! That is very helpful, I ve been struggling with an exercise for days now I got some clue to solve it because of your explication.
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are very welcome, please check our free website, helpyourmath.com/150.5/mat150
@---696
@---696 2 жыл бұрын
Thnku mam .. today is my exam really helpful .. God bless u mam...
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Good luck!
@umaralexander
@umaralexander Жыл бұрын
Wow! You've solved my problem with grouped data. God bless you
@helpyourmathstat
@helpyourmathstat Жыл бұрын
You are very welcome! 😃
@noori_guk2475
@noori_guk2475 2 жыл бұрын
when I'm trying to find mid point on my own by adding lower limit 45 to upper limit 55 then dividing with 2 it's giving me 72.5 Can u plz tell me why?
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You did 45 + 55/2 = 72.5. The correct way is 45 + 55 = 100, then 100/2 = 50. Or (45+55)/2 = 50. Thanks! - Prof. Xin from HelpYourMath
@noori_guk2475
@noori_guk2475 2 жыл бұрын
@@helpyourmathstat ohhh thnks I got it 😌❤️
@ameniasinavodre8619
@ameniasinavodre8619 6 ай бұрын
Thank you very much my sister ❤ you really help me😢 Tomorrow is my exam and you help me alot🎉....Anyways love from Fiji 🇫🇯.......Vinaka Vakalevu 🙏❤️‍🔥❤️‍🩹🙌🥹😘
@helpyourmathstat
@helpyourmathstat 6 ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@ricemasterdragon2166
@ricemasterdragon2166 Жыл бұрын
Do i have to round for the class midpoint?
@milley1087
@milley1087 3 жыл бұрын
Why am I lost. Where did 39 and 105 come from in the polygraph
@itsmee1817
@itsmee1817 3 жыл бұрын
I think it's because if you look at all the numbers at the bottom of the polygraph they each have a gap of 11 so how she got the 39 was she did 50-11= 39 and the for 105 she added 94+11 to get that. Hopefully that helps :)
@mandisimavuso
@mandisimavuso Жыл бұрын
​@@itsmee1817thank you❤😊
@angiumo9220
@angiumo9220 3 жыл бұрын
This really helps me today in my exam God bless you.
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome!
@emmanuelwara9794
@emmanuelwara9794 3 жыл бұрын
Thanx very much for this resourceful illustration, it really summarized everything for me on frequency distribution....
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome. Please check our Free Statistics Website for all Statistics topics you may need help with, helpyourmath.com/150.5/mat150
@elivaidahbridget7246
@elivaidahbridget7246 Жыл бұрын
Very helpful but I don’t understand where the 39 comes from ... the 39 before 50
@successnicki8146
@successnicki8146 Жыл бұрын
What do I use if the number of class is not given. Please someone should give me an answer
@rocketrider1405
@rocketrider1405 5 жыл бұрын
You always subtract 1 from the value of the LCL of the 2nd interval to obtain the UCL of the first interval if the lowest place value of your data is 'ones' as it is here ... if the data looked like 4.1, 6.7, 9.2, 12.1 ... then you'd subtract the value of the lowest place value which in this case is one tenth in order to obtain the UCL of the 1st interval.
@Gbril45
@Gbril45 9 ай бұрын
More Better than my Teacher.
@helpyourmathstat
@helpyourmathstat 8 ай бұрын
Please have more people help our FREE OER: www.gofundme.com/f/free-quality-resources-for-students
@muwanguzikatherine4408
@muwanguzikatherine4408 2 жыл бұрын
You are the best dear
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Thank you!
@Midnightrider.
@Midnightrider. 2 жыл бұрын
Thank you so much miss you were of great help to me i needed help with ogive and frequency polygon.
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are very welcome!
@niyahtg1860
@niyahtg1860 3 жыл бұрын
Why did she round the 10 to 11? Rounding is usually done to get a whole number. I am confused.
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Please watch this video: kzbin.info/www/bejne/jF6veaFtn7WWsNU
@elinessmutakilamfunda1417
@elinessmutakilamfunda1417 9 ай бұрын
That's the rule... You round off wether it a whole number or decimal
@anthonystark1514
@anthonystark1514 4 ай бұрын
It's because you always have to find the ceiling of a number in statistics, so you round up. Ceiling means to round up
@tyrone10gw
@tyrone10gw 4 жыл бұрын
Best Math tutor at Bmcc
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you!
@Painty67
@Painty67 3 жыл бұрын
this video very very very helhpful to me love you from Pakistan
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are very welcome!
@omanjawalpita5112
@omanjawalpita5112 3 жыл бұрын
Your explanation is very clear mam.Thank you soo much❤.
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome!
@masuma_khatun3872
@masuma_khatun3872 3 жыл бұрын
Thank u so much!For me,it really summarized everything about frequency distribution. And You speak very nicely 😍. Love from Bangladesh 🇧🇩 🖤🖤🖤🖤🖤🖤🖤🖤🖤
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
আপনি স্বাগত, please check our free website, helpyourmath.com/150.5/mat150
@charlessaunyama7604
@charlessaunyama7604 Жыл бұрын
Thank you mam 👏 👏this makes me to understand the introduction of statistics
@helpyourmathstat
@helpyourmathstat Жыл бұрын
You are very welcome! Please check our Free statistics website: helpyourmath.com/150.5/mat150
@mariamabalde1473
@mariamabalde1473 2 жыл бұрын
Thank you teacher may god bless you
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are very welcome! Please check our free website, helpyourmath.com/150.5/mat150
@heis.vincent
@heis.vincent 8 ай бұрын
Please how did you get 39 and 105 on the frequency polygon, treat as urgent i have a test tomorrow by 9am😩😩
@helpyourmathstat
@helpyourmathstat 8 ай бұрын
???
@Gotyouhomie
@Gotyouhomie 2 ай бұрын
Is there a decimal version?
@rajamuneeb4669
@rajamuneeb4669 2 жыл бұрын
thanks so much mam helped alot ,love from pakistan
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are welcome, please check our free website, helpyourmath.com/150.5/mat150
@beerviewmirrors4059
@beerviewmirrors4059 Жыл бұрын
Where are you from?
@helpyourmathstat
@helpyourmathstat Жыл бұрын
Guess?
@beerviewmirrors4059
@beerviewmirrors4059 Жыл бұрын
@@helpyourmathstat Cant determine from the accent😅 Maybe Philippines or Indo!!😌
@helpyourmathstat
@helpyourmathstat Жыл бұрын
@@beerviewmirrors4059 Chinese!
@jacklinemalembwa8695
@jacklinemalembwa8695 2 жыл бұрын
Thank you very much you have made me understand more about statistics
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are welcome! Please check our FREE website, helpyourmath.com/150.5/mat150
@maetura3447
@maetura3447 2 жыл бұрын
This is perfect teacher
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Thank you! Please check our Free website, helpyourmath.com/150.5/mat150
@jennas6236
@jennas6236 4 жыл бұрын
where did you get 39 for the polygon chart ?
@文军哲
@文军哲 4 жыл бұрын
1:From the table, we know class midpoints are 50,61,72,83,94, which are also x coordinates for the polygon chart. 2:You may find out the gap between two consecutive midpoints is always 11; for example, 61-50=11, 72-61=11. 3: Therefore, we can conclude that the point before 50 is 39 ( 50-11=39).
@wegotthis2345
@wegotthis2345 3 жыл бұрын
@@文军哲 oh my thank you so much for this as i have the same question.
@文军哲
@文军哲 3 жыл бұрын
@@wegotthis2345 You are welcome!!! I am glad my comment helped u.
@文军哲
@文军哲 3 жыл бұрын
​@@wegotthis2345 You are very welcome!!! As a volunteer of helpyourmath, I am happy to help.
@gemechisaabera8799
@gemechisaabera8799 9 ай бұрын
Ok teacher What is reduce formula class boundary
@Painty67
@Painty67 3 жыл бұрын
again Thanks my sister and more loves from pakistan
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you! Please check our website and free courses, www.helpyourmath.com, enjoy! 😀
@mandisimavuso
@mandisimavuso Жыл бұрын
During Frequency polygon at the end where we took 39 and 105 ?
@TrokonDavis-m1f
@TrokonDavis-m1f 2 ай бұрын
At the beginning, she got the class limits be adding and subtracting 11. And in frequency polygon, after drawing your graph, you make sure you draw a line back to touch the x-axis at beginning and end of the graph at an equal distance.
@Odhiambozakayo
@Odhiambozakayo 11 ай бұрын
Thank you for well explained
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@sweetcancer_6963
@sweetcancer_6963 2 жыл бұрын
for some who doesn't get what the '# of classes' - the formula is k = 1 + (3.322 [Log(n)]) And for some, you need to know that the CLASS WIDTHs' formula is C = R/k where R = Max - Min divided by the k = k = 1 + 3.322 Log(n) Also, I would like to add in order to organize for huge data sets you can use the STEM & LEAF method, it's very easy and helpful when you utilize it for these ungrouped data
@LizaMarieAbaño
@LizaMarieAbaño 9 ай бұрын
Thank you for sharing this, it helps a lot :)
@helpyourmathstat
@helpyourmathstat 9 ай бұрын
You are very welcome!
@schelabelleus6661
@schelabelleus6661 9 ай бұрын
Thank you so much for your help!
@helpyourmathstat
@helpyourmathstat 9 ай бұрын
You are very welcome!
@Annshirly22
@Annshirly22 3 жыл бұрын
Thank you ma'am You saved me
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome! Happy Holidays!
@elivaidahbridget7246
@elivaidahbridget7246 Жыл бұрын
Also where does the 105 come from
@angelblade3595
@angelblade3595 3 жыл бұрын
This was very helpful .
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you! Please visit our Free Website, helpyourmath.com/150.5/mat150
@ramzyrasla7277
@ramzyrasla7277 2 ай бұрын
thank you so much teacher was a great explaination.
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@omunguochieng9664
@omunguochieng9664 2 жыл бұрын
i think you have made mistake you are not supposed to ad the no. of class but the class width on thye class limit
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Please watch this video, kzbin.info/www/bejne/jF6veaFtn7WWsNU
@ShubhamYadav-uc2mp
@ShubhamYadav-uc2mp 2 жыл бұрын
Thanks Maam :)
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are welcome! Please check our free website, helpyourmath.com/150.5/mat150
@chawulaninhleko
@chawulaninhleko 2 жыл бұрын
Thank you well explained
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are very welcome, please check our free website, helpyourmath.com/150.5/mat150
@missneri9307
@missneri9307 2 жыл бұрын
thank you so much it helps me a lot
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are welcome! Please check our free website, helpyourmath.com/150.5/mat150
@dilkisubhashini258
@dilkisubhashini258 3 ай бұрын
Thank you ❤
@helpyourmathstat
@helpyourmathstat 3 ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@UmeshaUdari-r6m
@UmeshaUdari-r6m 2 ай бұрын
thanks a lot mam.this is really helpful
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@mmproperties2407
@mmproperties2407 4 жыл бұрын
She is amazing!
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you! :)
@seal0118
@seal0118 3 жыл бұрын
great walkthrough, thanks
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome!
@radanerobinson4131
@radanerobinson4131 3 жыл бұрын
This is very informative.
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you!
@zubedasaidi4232
@zubedasaidi4232 14 күн бұрын
Thanks for your help
@helpyourmathstat
@helpyourmathstat 13 күн бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@chepngenomaureen9120
@chepngenomaureen9120 2 жыл бұрын
Wonderful it is easy to understand
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Thank you!
@mazelelerobin3325
@mazelelerobin3325 Жыл бұрын
thank you...its so good
@helpyourmathstat
@helpyourmathstat Жыл бұрын
You are very welcome! Please check our free statistics website, helpyourmath.com/150.5/mat150
@agabainnocent4915
@agabainnocent4915 2 жыл бұрын
Thanks
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are very welcome! check our free course at, helpyourmath.com/150.5/mat150
@ahadmoen
@ahadmoen 3 жыл бұрын
Impressive ma'am🥰
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you!
@Mthobisi_Mthembu
@Mthobisi_Mthembu Жыл бұрын
Thank you, very much 🙏
@helpyourmathstat
@helpyourmathstat Жыл бұрын
You are very welcome! 😃
@cigaljamac419
@cigaljamac419 2 жыл бұрын
so so so helpfull thanks all
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
You are very very welcome! Please check our free website, helpyourmath.com/150.5/mat150
@anelemadiya5785
@anelemadiya5785 Жыл бұрын
Is it always 5 classes even if they didn't give you?
@helpyourmathstat
@helpyourmathstat Жыл бұрын
The number of classes is determined by each question. This example demonstrates with 5-classes. But you can apply this for other number of classes, such as 6-classes, 7-classes, so on.
@nkwoimmanuela3826
@nkwoimmanuela3826 11 ай бұрын
1:05 10 is a whole number already. Why take it to 11? I thought you only applied that rule when you have a decimal value🤔
@abelngenda6817
@abelngenda6817 6 ай бұрын
Exactly my thought too
@soighirdine5409
@soighirdine5409 4 ай бұрын
Thank you so much,
@helpyourmathstat
@helpyourmathstat 4 ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@RougeLace
@RougeLace 2 жыл бұрын
is 10 not a whole number? why do you have to round up to 11?
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Please watch this video: kzbin.info/www/bejne/jF6veaFtn7WWsNU
@zahoor_akbar
@zahoor_akbar 4 жыл бұрын
Thank You Ma'am
@helpyourmathstat
@helpyourmathstat 4 жыл бұрын
You are welcome! :)
@Study_knowledge05
@Study_knowledge05 7 ай бұрын
thank u so much mam
@helpyourmathstat
@helpyourmathstat 7 ай бұрын
You are very welcome! Please let more people know about our work, www.gofundme.com/f/free-quality-resources-for-students
@Zozz-zm1yu
@Zozz-zm1yu 9 ай бұрын
شكرا كثيراااااااا❤❤❤
@helpyourmathstat
@helpyourmathstat 8 ай бұрын
Please have more people help our FREE OER: www.gofundme.com/f/free-quality-resources-for-students
@kiplazh
@kiplazh 3 жыл бұрын
Thank you
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome! Please check our free website, helpyourmath.com/150.5/mat150
@jyotiaralikatti5013
@jyotiaralikatti5013 2 жыл бұрын
Excellent
@helpyourmathstat
@helpyourmathstat Жыл бұрын
Thank you! Cheers!
@foodranger2907
@foodranger2907 4 жыл бұрын
Tnx nice lecture mam
@idirisxaashi5725
@idirisxaashi5725 4 жыл бұрын
Why did you add class width 10 +1 =11
@helpyourmathstat
@helpyourmathstat 4 жыл бұрын
For Class Width, round up the dividend to the next whole number. If your dividend is 2(whole number), 2.1, 2.2, 2.3, 2.4, 2.5... 2.9, round it up to 3.
@hafizzuhari6003
@hafizzuhari6003 3 жыл бұрын
i miss physical class :((( this video help me so much
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome!
@amintemam3660
@amintemam3660 2 жыл бұрын
😀ammizing teacher
@helpyourmathstat
@helpyourmathstat Жыл бұрын
Thank you!
@zakariemohamedisak1162
@zakariemohamedisak1162 3 жыл бұрын
Thanks you
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome!
@OriaPlay
@OriaPlay 14 күн бұрын
But i think you can leave it as 10 and you won't be punished.
@AbdulRehman-yo3wq
@AbdulRehman-yo3wq 2 жыл бұрын
eaisly defined
@helpyourmathstat
@helpyourmathstat 2 жыл бұрын
Please check our free website, helpyourmath.com/150.5/mat150
@sajjalzahra5229
@sajjalzahra5229 3 жыл бұрын
really i get all
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
I am glad it helped! Please check our free statistics website: helpyourmath.com/150.5/mat150
@Lily__0066
@Lily__0066 4 жыл бұрын
thank you!
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
You are welcome!
@seyhamean1897
@seyhamean1897 3 жыл бұрын
Why10 change to 11?
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Please watch this video: kzbin.info/www/bejne/jF6veaFtn7WWsNU
@mirajhossain6919
@mirajhossain6919 3 жыл бұрын
Amazing
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you!
@africlovecomedy7743
@africlovecomedy7743 3 жыл бұрын
🤩😍😍🤩🤩🤩🤩🤩🤩
@tadiwanashekerste
@tadiwanashekerste Ай бұрын
🎉🎉🎉
@helpyourmathstat
@helpyourmathstat Ай бұрын
Thank you! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@dinasin2745
@dinasin2745 3 жыл бұрын
hi
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Hi, please check our new website, www.helpyourmath.com/freecourses/
@Joyzkiee
@Joyzkiee 3 жыл бұрын
🤗❤️
@helpyourmathstat
@helpyourmathstat 3 жыл бұрын
Thank you!
@kangleimirror1614
@kangleimirror1614 3 жыл бұрын
A Oo
@SpreadingAwareness365
@SpreadingAwareness365 3 жыл бұрын
Cutee
@BestMusicEmpire
@BestMusicEmpire 4 жыл бұрын
Ouuuuu
@ThomasRawls-sp7eq
@ThomasRawls-sp7eq 5 ай бұрын
marry me shawty
@placideniyongira4752
@placideniyongira4752 Жыл бұрын
Thanks
@helpyourmathstat
@helpyourmathstat Жыл бұрын
You are very welcome! Please check our free website, helpyourmath.com/150.5/mat150
@dananjayachathuranga7113
@dananjayachathuranga7113 Жыл бұрын
thank you
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
@monirul.154
@monirul.154 Жыл бұрын
thanks
@helpyourmathstat
@helpyourmathstat Ай бұрын
You are very welcome! Please let more people know about our work: www.gofundme.com/f/free-quality-resources-for-students
Sample Mean and Sample Standard Deviation
3:44
HelpYourMath - Statistics
Рет қаралды 9 М.
pumpkins #shorts
00:39
Mr DegrEE
Рет қаралды 112 МЛН
Mom had to stand up for the whole family!❤️😍😁
00:39
小丑家的感情危机!#小丑#天使#家庭
00:15
家庭搞笑日记
Рет қаралды 31 МЛН
How to Make(Draw) a Histogram with Class Boundaries Example #1
11:38
HelpYourMath - Statistics
Рет қаралды 355 М.
How To Draw An Ogive
9:47
Steve Crow
Рет қаралды 303 М.
Finding Mean, Variance, and Standard Deviation from a Frequency Table
13:03
HelpYourMath - Statistics
Рет қаралды 15 М.
Histogram / Frequency Polygon / Ogive
21:33
Cris Cruz
Рет қаралды 37 М.
how to study less and get higher grades
11:16
Gohar Khan
Рет қаралды 668 М.
Histogram and Frequency Polygon
14:25
Oninab (Educational) Resources
Рет қаралды 364 М.
How to STUDY so FAST that it feels ILLEGAL😳
7:21
jspark
Рет қаралды 1,7 МЛН
The Oldest Unsolved Problem in Math
31:33
Veritasium
Рет қаралды 11 МЛН
pumpkins #shorts
00:39
Mr DegrEE
Рет қаралды 112 МЛН