 Hi and welcome to the session. Today we will learn about mode and median. We have already learnt how to find out mean and range of the given data. Now let us study two more measures of central tendency or the forms of representative values. That is mode and median. So first of all let us study about mode. Now mode of a set of observations is the observation that occurs most often. Let us take an example. Suppose we are given a set of values 20, 10, 20, 30, 40, 20, 40, 10, 20 and 40. And we need to find out the mode of this set of observations. So first of all we will arrange the numbers with same value together. Thus we have 10, 10, 20, 20, 20, 30, 40, 40 and 40. So here 10 occurs 2 times 20 occurs 4 times 30 occurs only once and 40 occurs 3 times. Now here 20 occurs maximum number of times that is 20 occurs most often. So here the mode of this set of values will be 20. Now let's see how to find out the mode of large data. Sometimes it is not easy to put the same observations together and count them if the number of observations is large. So in this case we tabulate the data and then we find out the mode of the given data. Let's take an example for this. Here we are given a set of observations and we need to find out mode. So first of all let's arrange this data in tabular form. So here in this table in the first column we will write the observations that is the number which occurs in the data, then telemarks and then number of times a particular number occurs in the data. So let us start with 12. Here 12 occurs 3 times. So we will write 3 in the column of number of times because 12 occurs 3 times. Now we will represent 3 as telemarks like this. Let's move on to 13. 13 occurs 4 times. So we will write 4 in the column of number of times and we will represent 4 as telemarks. Next we have 14 and 14 occurs 3 times. So let us write 3 in the column of number of times and let's represent 3 as telemarks. Lastly we have 15 and 15 occurs 6 times. So let us write 6 in the column of number of times and we will represent 6 as telemarks. Now let us find out the mode. Here we can clearly see that 15 occurs 6 times that is maximum number of times. So the mode of the given data will be 15. Now let's move on to medium. We already know that medium is a form of representative value or the measure of central tendency. Now medium refers to the value which lies in the middle of the data when arranged in an increasing or decreasing order half of the observations and the other half below it. That means we can also say that if we are given a data and if we arrange the data in ascending or descending order then the medium will be the middle observation. Here is an example for this. We are given the data and we need to find out the medium for the given data. So first of all let us arrange the given values or the given observations in ascending order. We have 11, 12, 13, 13, 14, 14, 16, 20. Now here we have 9 observations that means the 5th observation that is 14 will be the medium. So here 14 is the medium for the given data. Thus in this session we have learnt to find out mode and medium. With this we finish this session. Hope you must have understood all the concepts. Goodbye, take care and have a nice day.