 Hello, I welcome you all once again to my channel Explore Education. I am Dr. Rashmi Singh, Assistant Professor, Department of Education, Mrs. Khanna Galsri College, University of Allahabad. And nowadays I am going to discuss with you all, I am discussing with you all the topics under educational statistics in which I have already discussed measures of central tendency and how to compute mean and median for grouped and ungrouped data. And in this video, I am going to discuss how to compute mode for grouped and ungrouped data. Okay, so the lecture will be in bilingual mode and it must be useful for all these students. First of all, we are going to remove Bahulak. We have read that what is the tendency of central tendency on the mother of her child, whether she is aggressive towards the mother of her child or you can say that we consider the level of aggression in a mother of a child. According to the country's state, we believe that a mother of a child isCryptophen, and that the mother of a child is insipid and has a lower echelon at the top and bottom. And we have learned about Bahulak, in which the mother of the child is most aggressive towards the mother of the child means the mother of the child, whose mother of the child is more aggressive towards the mother of the child, the mother of the child will be able to repeat this data repeatedly. This is the last one and it is being told to you that you should tell us about the mode. One thing that we have done is that sometimes it is possible that if there are 2 or 3 or 4 big data groups, then there will be a multi-modal group. And sometimes it is possible that no one has been repeated. So it is also possible that we will not be able to find the girl in our eyes. But mostly if we get it, then the mode can be calculated in simple manner by just counting the scores that appear as the maximum number of times in the data. We will count the ink and count it, which is the most number in the ink. So in this example, the score occurring at the maximum number of times is 34, it occurs twice, thus the mode is 34. So sorry. In these eyes, this is 34 here and 34 here. So 34 is twice, the rest is uncreap. So for the ungrouped data, the girl will be 34. But for the grouped data, on which you have a little calculation required, if you ask for grouped data, then you can take out the girl in two ways. First, you do this. Take out the mean, take out the median and put the formula that the mode is equal to 3 into median minus 2 into mean. That is to say, by doing the three times of Madhika, if you remove the two times of the average, then you will get the girl. This is a simple formula. And many times, in competitive examinations, since you have a very small calculation, then you can be told in this way that the average of this ink is this much, so tell the girl. So you will think that the ink is told to us, not just the average, so how to remove the girl? So you can remove it from this formula that the mode is equal to 3 into median minus 2 into mean. Then the second formula that we still apply for group data, for example, we studied for the mean formula, we studied for the median, what is L, what is FM, what is the median class, what is the mean for which you choose the interval, you have learnt to remove the nature and deviation on it, you just need to revise it. For this, the formula is MO for mode. MO is equal to L, then what will be L? That will be the lower limit of the class. Which class? Model class. In the case of the median, the median class will be heard. Model class will be heard. L plus, this is what we have to remove. D1 and D2. If we find out these two, then the formula is so easy. L plus, D1 upon D1 plus D2 into I. I will always be like the class interval. That is, the variable. L will be the lower limit of the modal class. So just learn D1, D2. What is M? So let us know what is L? Lower limit of the class interval in which the mode is called as modal class. That is, the class interval, the variable in which the mode is possible, you will consider it as modal class and consider its lower limit as L. We will consider I as the class interval. D1 and D2. This is a special thing. So what is D1? D is denoted for the difference. What is the difference? Difference between frequencies of modal class and class interval below it. That is, the class that you have made the modal class, whatever class interval is below it, remove the frequency of the modal class from its frequency, then D1 will come. What is D2? Difference between frequencies of modal class and class interval above it. That is, the class interval of the modal class and the class above it, the frequency of that is your D2. So what do we have to do? Remove the D1, D2 and put it simply. So see, we have got this Akra. This is the same. This is used for Akra, Meen, Median and Mode. So see, your Akra is going on. 10, 14, 15, 16, 17, 20, 24. This is what happens every time. Now which class should we make the modal class? This is what we have to learn. We have to see. So what is the meaning of the mode which is more than 12? So which one is more than 12? 7. See, the frequency is 7. That means the modal class can be between 30 and 34. That means the modal class can be between 30 and 34. The mode will come somewhere between it. So our modal class has been between 30 and 34. So what is the value of L? Limitless limit. It starts with 30. So what will be the limitless limit? 29.5. 29.5 will go. And D1 and D2, why will both come? Because the frequency of the class below is 5. And the frequency of the class above is 5. So both are in the 10s. 5 is 5. 2 is 7. 5 is 2. That means D1 is 2. And D2 is 2. And what is the class interval? What is the class interval between 10 and 14? 5. You have learned. So just keep it in the formula. First of all, we have to take out the modal class. We have taken out 30 and 34. Then we have to take out the lower limit. We have taken out 29.5. Then we have taken out the class interval 5. Then we have taken out D1 and D2. We have taken out 2 and 2. Now put it. Mo is equal to L plus D1 upon D1 plus D2 into I. L was 29.5. D1 was 2. D2 was 2. So 2 upon 2 plus 2 into 5. So 29.5 is the limitless limit. Plus, you have removed the class interval. So what did you do? 2 plus 2 is 2. So we have 4. 5 is the limitless limit. Now how much will be the limit of 2? 2. 5 will be the limitless limit. 5 and 10 will be the limitless limit. 5 columns will be 5, 5 columns 5 will be 2. In 99 and 5 columns 5, 2 columns 5 will be fine. That is 32. 0 attorney says best sentence is 35. Keep it up. First of all, we have to take out the mean and then the media. But don't make per cakes. Keep on thinking. Continue saying company favour12 So in this way we have learned how to compute me, median and mode that is the measures of central tendency for the grouped as well as ungrouped data. So now if any of the questions will come from Madhya Madhika and Bahu Lakshmi then you will be able to do it by considering the time. Because it is very easy, first you have to understand the concept, then you have to understand the things, how is it, remember the formula, what is the value of l in the formula, what is m, what is f, what is fm, what is d1, what is d2, what is n, we have to know all of them. And that is all you have to know and you have to know what is the value of n and by keeping that you will be able to compute the correct numbers. And again we have told you that if you start answering the questions correctly then you do not get a lot of motivation. We have not made any mistakes by answering the questions correctly. We are on the right track so it would be a motivating factor for you all. So all the best for your numerical based questions which will be based on the central measures of central tendency that is need me to know. So thank you and don't forget to like and subscribe my channel, explore education. I have done from my side.