 Hi and welcome to the session. Let's work out the following question. The question says find the mean of the following Distribution now in the first column we have classes that is 4 to 8 8 to 12 12 to 16 And so on till 32 to 36 in the second column We have number of students that is for 4 to 8 class 2 8 to 12 12 and so on till 3 Let us start with the solution to this question Now we make a table like this in which the first column is for classes Second column is finding x i that is midpoint third column is finding number of student that is f i That is given to us in the question. Let me find out f i into x i So first of all the first class we have 4 to 8 Its midpoint will be 4 plus 8 divided by 2 that is equal to 6 number of students is given to be 2 So 6 into 2 that is f i x i is equal to 12 Similarly for second class we have 8 to 12 Midpoint is 8 plus 12 divided by 2 that is equal to 10 number of students is 12 So here we have 120 third class is 16 to 20 midpoint will be 16 plus 20 divided by 2 that is 18 number of students is given to be 25 so f i x i will be 450 Next class is 20 to 24 midpoint is 20 plus 24 divided by 2 that is equal to 22 Number of students is given to be 18 so f i x i is 396 the next class is 24 to 28 midpoint will be 24 plus 28 divided by 2 that is equal to 226 Number of students is 12 so f i x i will be 312 Next class is 28 to 32 Midpoint will be 28 plus 32 divided by 2 that is equal to 30 number of students is 13 So f i x i will be 390 now for the interval 32 to 36 It will be 32 plus 36 divided by 2 that is equal to 34 Number of students is 3 So f i x i will be 102 now here. We see that we have missed a class that is the class 12 to 16 so let us write it down in the last row that is 12 to 16 is 12 plus 16 divided by 2 that is equal to 14 Number of students is 15 so f i x i will be 210 now we see that Submission f i is equal to hundred and Submission of f i x i is equal to one nine nine two Therefore mean that is denoted by x bar is equal to Submission f i x i divided by submission f i simply put in the values here and we get 1,992 divided by 100 That is equal to 19.92 so this is our answer to this question I hope that you understood the solution and enjoyed the session. Have a good day