CMA Foundation Stats | Introduction | L2 | Dec 2026 & June 27 | Prof. Vaibhav Innani

[00:00:33]Hey child, I am audible, check it once, it will start, yes child, good afternoon, good afternoon, child, who all are there?

[00:00:56]These people did not send the link, I will have to look into it.

[00:01:31]And Omkar please share my CMA Foundation link and make my thumbnail.

[00:01:59]Key link and my thumbnail.

[00:02:03]Yes.

[00:02:05]Ok. We were studying arithmetic, remember? This symbol stands for doing something.

[00:02:13]Right? Summation of x / n Any problem? Then we saw an example. I said find am of 5 7 9 12 15 hurry your time start. Sir I did not watch the first lecture would it have been what if I watch it directly yes ok let's start it is not a big deal but yes watch the first lecture it will be helpful so you will say sir 5 + 7 + 9 + 12 + 15 / 5 total is are you sure this was my first sum yes or no then I have to tell you the second concept pay attention I said mean of four number numbers is 12 a new number 15 is added right find the new mean it will be perfect quickly. Is our speed increasing now? What did you do in this situation? x times is the summation of x / n x times what?

[00:03:26]How many numbers?

[00:03:29]So what is the total? Total became 48. Is it right?

[00:03:33]New Number 15 Is Added. What is the new total there?

[00:03:43]What is 48 + 15? 63 and new mean will be 63/5 how much?

[00:03:50]12.6. I hope everyone is comfortable. Yes or no? I did it because a new number was added. Is he someone new?

[00:04:01]Ok. Next, have everyone copied these two sums now? Copy it. Yes. Copy it. Finish it.

[00:04:09]Then we would move ahead. This is a Type C charger.

[00:04:13]Said the battery is down. Pencil, you Krishna were not there yesterday, okay, I was not there, sorry, but I guess this was not there in the last lecture, this was there, your name is Krishna, right, what is your name, okay Krishna, copy done, easy, now pay attention, find the meaning of 5 3 5 3 2 3, right, it was green, child, it was good day, so what will you do, will you take the total of all, yes or no, if I say how many times five came, right, how many times three came, how many times two came, it became equal, right? So what will your total be? 10 15 two 27 did it come? And what was the total number of observations? Five two seven and one eight. Right or not? Sure? It happened like this, right? You made a total of 27.

[00:06:50]Its total became 27. So if I write it like this: summation of fx / summation of f, should there be any problem?

[00:07:01]3 is correct. Any confusion copied.

[00:07:26]So if the data is like this where h is given and frequency is given in front of it then I will use this formula summation of fx / summation of f any problem how much did it come 3 points came copied easy perfect next h f quickly not the state the place of the state will be made son fx is like this 10 5 20 7 total 440 do the total summation of f / summation of f how much is the answer easy? Is this logically the ninth? It was only five, seven, eight, right son? 640 Interesting, easy, get the logic as to why we used that formula, if we wanted we could have gone directly into the formula, but I felt this thing is good, right, no, dun, dun, it was definitely easy, there is nothing in it, can I move ahead, sure, no, yes, okay, thank you, child, yes, what did you say, with life, even after life, God bless you, okay, next perfect, let's group data, which data?

[00:10:23]Thank you sir. Thank you sir. Because of you, I got 72 in Maths and Stats in my Foundation results. Yes Prabal Rajput God bless you child. What is happening to the group data?

[00:10:33]You will be given a group. Here I will say class interval. Now maybe you people have read a little bit. I can expect this, little by little. Isn't it? Yes.

[00:10:54]Its frequency is given from 0 to 20 to 40, 40 to 60, 60 to 80 and 80 to. Suppose you are given 5 7 10 12 3 like this.

[00:11:03]Now I have a big problem. I can't teach from notes. I keep teaching the dynamic. As the questions keep coming, I will keep reading them. Will keep solving it.

[00:11:15]So I have given you the notes.

[00:11:18]Whatever you have to do from that, you solve it, do everything. I get the entire statistics learnt in the class itself.

[00:11:23]Okay, right?

[00:11:25]Provided you guys come regularly. I understand the rest of the responsibilities, right? So I can't do that Notesverse.

[00:11:34]Copy the same from there to here. Apart from that, I can take four extra rupees in it. Clarity? I don't see any problem, Holi. Right? Now let's see what we do with the group data. We take out x first. What do you take out? Now what is x? x is the midpoint of the class. x is now how is this mid point found?

[00:11:58]What was the first group? 20 and 0 / 2 is the answer.

[00:12:03]What is the second one? 20 + 40 that is 60 / 2 answer is 50 79 the logic is equal and then further the same summation of fx / summation of f answer 50 210 500 12 72 12 * 7 = 84 and 270 total I don't know, you have a calculator, right Guru, Guruji, I don't have a pro batch, how to do it with it because I don't have notes, let's do it son, tell me the answer, friend 1870 1870 7 + 12 24 34 37 1870 / 37 answer 50 easy, it is very interesting. Say yes or no, I was lazy. He said yes, I want the most useless batch in the world. Say yes or no, don't say no to him either. He is so lazy. He said, Sir, how could I say no? He said, Sir, Sir, please don't tell the truth openly. It is wrong to say such truth openly sir, is n't it so? Now if I am useless then it is so sir, if I am not, it is so sir, what do you mean sir, they say the same thing at home too, tell me sir, no, at home they call me shameless along with useless, there is shameless and nothing else, that's all, okay, I will help you, yes I know everything, I mean, look, I know South Indian this much, but I do know it [laughs] yes, different languages, everything, French is also perfect, isn't it, what is it in French, what do you say to me, who knows French here, it is a good thing [laughs] I know as much as I can, it is not this much that you know, yes, oh, the French video is interesting, they do n't do anything like that. For example, if it is the month of September then we say September. Yes, October is called October. It is just like Italy's best bro. That's it. Nothing is there What did you say friend? What happened to you? Did you understand? Thoughts on things. Next we will do zero to 50, 50 to 100 and 100 to 150. Just finished Subject Frequency 15 17 20 Subject Close Sir, where will I get notes from stats, son, they are attached here in the link, if you do n't get them then go to the drive, if you want to go to the drive then come to me, I will teach you every day, don't worry sir, I passed with 340 marks because of oh ho ho ho very nice child, God bless you, 340 marks, superb child, hey, you know sir, I know AI language, yes son AI [laughs] that's it enough, tell me the answer, first tell me the class marks, 50 and zero 250 by two 75 and this 125, am I right?

[00:15:47]Hey Baba, there are no notes, I need these.

[00:15:49]You pay attention here. Tell me no, there is no such total. Tell me how much. I should definitely trust you, I trust you. I am live on YouTube. What did you get as your answer?

[00:16:20]Hey, you useless school boy, 450. This online boy, please confirm 4150. And what is this total? 20. I should trust you. How much did you get as your answer? Give him a slap.

[00:16:49]What is he saying, you useless boy?

[00:16:55]Son, maths is a weapon. Son, it is very useful to impress. Sir, why do you speak so quickly? This is so, I don't understand. Hey son, I didn't say anything. I totaled all this. Did I say anything else? Did you get the logic? Sir, go for group 2 in intermediate in December or group 1 because the income tax will change on June 27. How do you prepare for G2?

[00:17:22]Yes, son, I teach in G2.

[00:17:24]Come, don't worry, hey child, the answer has come. Are you with me? It was easy, I wo n't be able to do it. There was nothing big in this, you all will come to know, let me go ahead and find out, now next next is a very interesting concept, combine means which one, do you know combine means, where is the power in this, it is very interesting, it is a very interesting thing, that is, don't have so many hopes, there is nothing to be done, okay, it is my work son, what is maths, come on, who are our people, everyone knows how to get nervous, see this, now listen, where is this used, like our batch, okay, okay? Suppose number of boys in the batch is 40 and their marks are their average marks.

[00:18:24]What are the marks? Average marks is 60. This is my n1. And this happened x1 time.

[00:18:34]Number of girls appeared in the exam is 30 and their average marks is 80. This happened to be my n2. And what is the combined mean of my entire batch?

[00:18:48]What is the average of the entire batch? Now you were in your school days, listen, you used to watch it in your school days.

[00:18:54]What used to happen? Suppose you are in standard 8th.

[00:18:56]Ok? Or be in standard 10th.

[00:18:59]Listen carefully. So the average of each section A, B, C, D was calculated and then the average of the entire school was calculated. The Logic Say Yes or No? Is everyone understanding? So how do we look at such problems here? A compulsory sum I am expecting 40 * 60 n1h1 times + n2h2 times / n1 + n2 it is get the logic how much came in total? No, this one came to 2400, this one also came to 2400 / 70, 4800 / 70 Answer: Are you sure? So what was the total for the entire batch? 68.57 Did you get the logic Neeraj beta don't spam.

[00:19:58]Well, this is useful in real life too.

[00:20:00]I use it every day. Yes, it is very useful to me. Let me tell you how?

[00:20:09]How would we think, very good, now understand, today I bought some shares, okay, today I bought shares of an ex-showroom company, please concentrate, pay attention, suppose today I bought the ex-showroom of Hind Copper company, yes, it is like this, this is an example, I bought shares of Hind Copper company, okay, today I bought ₹1000 shares @ ₹500 from Lets, how much did I invest, ₹5 lakh, right, then they came down, then I again bought 500 @ 49 90 from Lets, okay, not now, let's do one thing. Listen listen listen wait wait then I again bought 1000 @ 480 ok so now you tell me what was my average buying, how much was my average buying, so in example what will you give sir n1 1000 its average price ₹500 n2 1000 its average price 480 so we will do n1 bar + n2h2 bar / n1 + n2 n1 1000 500 1000 480 / 2000 ₹5 lakh plus 4 lakh ₹0000 / 2000 your answer comes ₹490 you get the logic yes or no so this is my average price for two 2000 shares simple yes or no earlier it used to happen that there is a change in the state or the prices of petrol change. Delhi is still cheaper as compared to yes, Goa was also cheaper by how much ₹4, I don't know yet, just sit and understand that I went to visit Gujarat, okay, I filled my tank with petrol here, suppose how much is it for 40 litres and what is the average price I paid here, ₹110, okay then pay attention on the way I went to Gujarat, I filled 30 litres there, the average price there is ₹15, correct, at the end of the day, at the end of the day I have to check how much my average petrol has cost per litre, are you sure yes or no, then I will get clarity, oh children, write comfortably, I will wait, is the speed increasing?

[00:23:23]A little. Ok. Ok. Did you understand this? Did you write all this?

[00:23:28]wrote? Yes. Ok. Go slowly. We will buy a lot of shares today and find the average price of all of them. There are 96 in Daman. Then from there I also went to Daman.

[00:23:43]There I again filled 45 litres. There is ₹95 in it. Now tell me how much did I get? Hey child, did you understand this? Did you understand the example of Hind Copper, everyone, yes or no?

[00:24:20]Yes.

[00:24:22]Now what will we do in this?

[00:24:26]Just n1h1 times + n2h2 times + n3 bared by + n3 happened for the third time, right? Yes or no, the number of times it happened, then how much is n1?

[00:24:46]₹40 * 110 + ₹0 * 105 + 45 litres * 8 96 Total 40 + 30 + 45 Do you get the logic, did you understand? Yes or no, on an average, how much did it cost? This is 4400, what was the expenditure here?

[00:25:12]Here 105 * 3 315 350 and here 4 up 70 105 115 litres of petrol filled. What was the average?

[00:25:43]103.21 is my average. So this is my average petrol cost in the whole journey.

[00:25:52]110 in Maharashtra 105 in Gujarat Two in between 96 in Daman Did you get the logic interesting?

[00:26:00]Yes or No? Surely there is no confusion, don't worry, don't worry, sure.

[00:26:11]Okay, take it easy, slow down, wait and watch, there is no problem, even tell me, reduce your blabbering, you shameless people, hello, good child, it's done children.

[00:27:19]Now next fourth some suppose to pay attention. Ok? Now we buy shares of another company. Tell me which one is not useful right now, that too is of no use. Let's take SBI. Come on SBI shares. Okay, right? Now understand the topic.

[00:27:47]SBI shares I bought first today 100 shares @ 1060.

[00:27:56]How many did you buy?

[00:27:58]I bought it for ₹160. Any confusion? The next time I invested, I had only ₹75 worth of shares. So I bought 75 shares at ₹120. Is it correct? Next time SBI came down and I had money at that time, so I bought 200 shares at ₹980. Is it correct? Yes or no?

[00:28:25]How many total shares do I have now? 375 and my break even point is what will be my average? On which my profit will start. How much will it be? We have to get it out.

[00:28:36]So what is n1 in this example? 100.

[00:28:40]How much is H1 bar? 1060.

[00:28:43]How much is N2? 75. How much is H2 bar? 102.

[00:28:49]How much is N3? How much is 200 H3 bars?

[00:28:55]How will you do 980?

[00:28:59]100 * 1060 75 * 102 200 * 980 Hole by 100 + 75 + 200 Total Bolo.

[00:29:29]How much was the first one?

[00:29:31]100 NOTAs of ₹1000 ₹16000 MI Right Plus Next Time How much did you invest? 6500 next third time such end hole divided by 37 average will start traveling above ₹19 or ₹110.

[00:30:04]I am into profit. There is a profit of ₹375 for every ₹1.

[00:30:10]Because the quantity is ₹375. For every ₹10 extra, if SBI share price goes up to ₹150 from here, how much profit will I make?

[00:30:21]But the share is ₹40 and the total quantity is right? Does this seem logical, girls?

[00:30:30]If I had bought it at 109.30, suppose I had bought it at 1010, the share price has become ₹150 today, correct, then my profit would be ₹40 per share, how much would it be into 375, yes whatever it is, it became ₹15000, interesting, do get the logic, everyone, is there any confusion, now if you go on a flight or airplane, it is the same, there you are told that there is a weight of luggage, you have to pay accordingly, correct, now we all went to Deep Sharma's wedding, right, there were 15 people, so what did we do, they told us on an average for 15 people, we gave them the money for 15 people, the third bag was small, the third was big, according to that the weight becomes on an average, is it yes or no, sir, I did not, sir, it did not come, sir, sir, oh my god, Gauri Shankar, okay, I will take it back, don't worry, see and listen, everyone, suppose, suppose there are two types of people here, two types, I am right, one is skilled Laborers.

[00:32:04]I have 20 people here. How many people are there?

[00:32:07]And the salary that I give them is ₹15,000 per month like skilled labour.

[00:32:15]Next Unskilled How many do I have?

[00:32:19]Suppose there are 50 and I pay their salary ₹8,000 per month. Now my question to you is Sir, it is happening very fast. Please slow it down a bit.

[00:32:31]Okay son, let's go slowly. Is it happening so fast? It is happening.

[00:32:43]Ok. How will you do it?

[00:32:49]Now how much is Skill Labor N1 in this, child?

[00:32:54]How much will x1 bar cost?

[00:32:58]How much is n2?

[00:33:01]How much will h2 bar cost?

[00:33:04]What is my formula? n1h1 bar + n2h2 bar / n1 + 20 * 15000 + 50 * 8000 total divided by this I am giving them ₹ lakh, it does not work 8 5 40 they are giving ₹ lakh divided by there are 70 people, I am giving ₹ lakh per month, that means I am giving ₹ 100 per person. Are you with me now? It was easy. Will it be possible? n1h1 bar + n2h2 bar / n1 + n2 There is nothing in this actually if seen but I don't know commerce students right now this one is also not slow what is this in just five days yes he will become that baba what happened to your son this is not a thing of the past I had bought it I am talking about that I had bought it at this price clear next I will give you a sum will you try [nasal sound] what is this illustration five? The mean wages in Factory A of 100 workers. How many workers are there? Is 720 per week. What does this mean?

[00:35:04]But week. ₹720 is the wedges. The mean wages of 30 female workers in the factory is ₹650 per week. Find out the average wages of male workers in the factory. Hey, your lights will become round in this. Wait, you did not understand that this much has happened before, everyone is having a good time in writing them, what should I do now, I don't know, it is going too fast, if you go slower than this then it is a bit tough for me, okay, average weight is fine, suppose the number of males is 20 and their average weight is 70. The number of females in the class itself is 40 and their average weight is 50. So what will be the average weight of the entire batch?

[00:36:11]So what will you do? n1h1 bar + n2h2 bar / n1 + n2 20 * 70 + 40 * 50 / 60 Total 1400 + 2000 / 60 3400 / 60 The answer is equal to this 93370 0384 Where did you get it from 73 ok you were doing that sum you did not reach it your light does not work that far first let's practice on this we will go tomorrow I am done I am expecting it is done everything is with me now I will just give you the values ​​you can give the answer by finding it out, it is definitely okay it will not be possible did you copy this you copy it so quickly and still you cry.

[00:37:18]Call Pranav at the lecture. I am in lecture. Do it.

[00:37:40]Copy it.

[00:38:17]Whatever happened, do it quickly, now we will do it on the calculator.

[00:38:21]Let me quickly put it in the calculator now.

[00:38:25]Friend, if I wrote this directly, 40 + 20 60, then did you not hide it? Where do these Gods come from, so many brilliant people? Hey you useless donkeys, what should I say to you?

[00:38:40]Bright people. So stunning, okay n1 listen, how many skilled laborers do I have?

[00:38:54]40, their average salary is ₹00, how many unskilled laborers do I have? 100 and their average salary is ₹12,000, how much salary do I give per person in total average? How much is saved, you say it for sure and I will agree, I will have to agree sir. Isn't it? What did you do? n1 40 h1 times 20000 n2 100 h2 times 12000 total n1h1 times + n2h2 times / n1 + n2 how much is n1 40 * how much is n2 100 * 140 total tell me brother, did you understand this 40 + 100, baba where did this Tejaswi get from [sound of clearing throat] now total 14285 is correct, correct done, done, there is no confusion girls last benchers, we will not be able to do it easily, we will do it. They come like this only.

[00:40:46]This is the problem. There is a compulsory sum. On what?

[00:40:54]On combination.

[00:40:59]Yes anything can come in the combine but from the compulsory sum we are done children this much is done next this much is done let me move ahead now listen understand I bought shares of Infosys I bought 100 shares from Lets at ₹950 and I bought 50 shares at ₹120. So tell me what happened to my average share price?

[00:41:41]Sir, my answer has started coming. Now n1h1 times + n2h2 times / n1 + n2 n1 is how much 100 * 950 + 50 * 1020 whole divided by 50 I have 150 shares now these were worth 95000 these have become worth 60000 what to do no look it has become worth 51000 divided by 150 total superb now you will be able to calculate the average I am sure I will go ahead don't disturb me.

[00:42:44]Because I am already disturbed. Please don't disturb me.

[00:42:51]What did you say son? Because I am married.

[00:42:55]So [sound of clearing throat] what makes a married man laugh disturbingly? Are? A married man remains disturbed.

[00:43:03]what did you say? That's why I say don't get married. Son, you will be happy.

[00:43:08]Daddy Sir, now his marriage is here, right? No one is listening to me. Do you know what? I am telling everyone. Do not do it. No one listens.

[00:43:16]Done. What are you saying? No no, nothing like that. It was easy for sure. Should I twist it a little?

[00:43:26]Are you ready? Sure. Let's do one thing. Today let us find out the valuation of each share in my portfolio. I also understood the average price.

[00:43:35]Listen now. Second, pay attention. I do not have shares of ITC company. ITC know the company, I bought 2000 shares @ 342 how much?

[00:43:49]And then I bought 8000 shares @ 283 Now tell me what is its average?

[00:44:00]N1 2000 H1 times 342 N2 1000 H2 times 283 total divided by how much came, how much like this and right now the ITC shortage of 283 is going on so should I do more average, okay now listen this is what happened, I copied this much, definitely Vaibhav Suryavanshi played three matches. How many matches did you play? Have to note it. Copy this.

[00:44:53]I will wait.

[00:44:56]My weight has increased due to this weight loss. Do you know what's going on with you? Yes.

[00:45:04]Where are you getting these 67 Dholes from?

[00:45:09]Limit stop, let me write now, what should I say, yes tell me what happened to the copy because you will not write this in the comments, sir it has become fast, I am feeling tensed, sir please join the gym, no son, I paid a lot of money, not that gym in my area, so my money also got rich, by the way I lost 300 grams in the last week, okay.

[00:45:44]What did you say son sir? He said what is it, what did you say just now? He said, you know, you go to the hotel in front of the hotel to do hotland, after that there is a weighing machine. Isn't it? Do you know why he lives there? You should wait before you go.

[00:45:59]Look how much it has become after coming.

[00:46:02]You guys should push me. If he comes forward then he will tell me now. What was I going to tell you just now?

[00:46:10]Listen Vaibhav, he is making my name very famous, son, I love him, yes, same from behind, Rudra, he played the first match, he played one match, he scored 100 runs in it, in the second match he scored 80 runs, that's correct, in the third match he scored 120 runs, right.

[00:46:41]Now tell me one thing, what was his average? So what will you say sir? The answer came as 100 + 80 + 120 / 300 / 3. It is correct. It is correct. No confusion at all. Now if Sir Was The Daily Live What is he saying? Sir, was the live intermediate class which was going on daily paid?

[00:47:10]Yes son, that tree exists. Sir, it's done.

[00:47:13]Not anyone from Thane. No son, no one is from Thani Virat Kohli killed. Yes son, Virat Kohli became the king. Let us come to that also. Ok. Pay attention. Do you understand this now?

[00:47:25]Ok.

[00:47:27]What time is it? It became 428. Or I will not read the next concept because then it will remain incomplete. Till then you do one thing. I have shares of Indigo company in my portfolio. Ok? I took 50 @ 4800.

[00:47:51]I took 100 @ 5200.

[00:47:56]Now tell me what is my total average?

[00:48:00]Why do you need its recorded HS, son?

[00:48:02]This is live, all this is recorded on YouTube. I'll do the YouTube one. How much is it, friend?

[00:48:08]So, 50 shares at 4800 plus 100 shares at 5200 divided by 150, how much is it?

[00:48:19]50 is my average. Superb if how much is it running on top of right now? If you look at Indigo, the share price is currently going down a bit.

[00:48:32]Right, if you understand then will you use statistics in real life, isn't this 506.66, who is it, O A, yes, it is above, right, it will go to 7000, okay, even then I am in profit, right now, more will come, my product, sir, I don't have the budget, what is he saying, sir, I don't have the budget, please explain, what is the sum saying, I can only afford the recorded, just son, already, you discuss that with Darshan sir, yes, this is easy, did you understand, did you not understand the logic, did you not get the speed, right, quickly, now do a sum on the last calculator, your time starts now, n1 1000@ 282 n2 1500@ 250, do it quickly, friend, how much is 282 of 1000 plus 250 of 1500 divided by 2500?

[00:50:06]262 Right will be easy. It was simple. So I guess you should understand this much Baba. Now don't miss tomorrow's lecture.

[00:50:24]Tomorrow is a slightly more interesting lecture. Our Dun Dana Dun.

[00:50:28]We will meet you tomorrow. Till then take care.

[00:50:30]Bye-B