 Hello and welcome to the session. In this session we will discuss a question which says that calculate the 5 yearly moving averages and draw the graph to represent the moving averages for the given data. And this data is given to us. Now before starting the solution of this question, we should know our result. And that is the procedure for calculating 5 yearly moving averages. For calculating this, we will form a table in which in the first two columns we will write the given data. That is, in this case, in the first two columns we are writing the given data in which the values for the particular years are given to us. And then in the last two columns we will find 5 yearly total and 5 yearly moving average. Now for this, in the first step we will add the values of first 5 years and the total against the middle year. Now among these, the middle year is the third year. So we will add the 5 values for the first 5 years and we will write the result against the third year. So we will write plus V plus C plus D plus E here. That is, against the third year and let us denote it as A1. Now in the next step, we will leave the value of the first year. So we will leave this value that is A. That is the second year, third year, fourth year, fifth year and sixth year. So we will add these values, the total against the middle year. Now for these years, the middle year is the fourth year. So we will put the total, so here it will be V plus C plus D plus E and we will continue like wise until the last one is taken up for calculating the moving average. So in the next step, the values for the third, fourth, fifth, sixth and seventh year these values and we will put these values against the middle year in this case and the middle year for this case, so we will put the sum that is C plus D plus E plus F plus G here and let us see A3. We have continued it until the last value is taken up for calculating the moving average. Now for calculating the moving average, these two values are divided by 5. That is, the moving average and for this case it will be A2 by 5 and here it will be A3 by 5. And then we will plot the points, then fourth year with A2 by 5 it will work out as a key idea. So we will start with the solution. Here in this question, this data is given to us, we will calculate the 5 yearly moving averages for the given data and by this we will form a table. So we have drawn the table for the given data, column 1 is representing the years, column 2 is representing the number of tours, totals and in the column 4 we will find the 5 yearly moving averages. That are these 5 years, the total against the middle year and the middle year total which is 22, 18, 29. So we are putting this middle year and on calculate 1621. Now for the 5 yearly moving averages, we will divide this total by 5. So it will be 1621 by 5 which is equal to the values for putting against the middle year. Now for these 5 years, first value and we are adding the next 5 values 3733 equating is equal to 1639. Now again this will be equal to 327. So we will continue with this procedure until the last value is taken for calculating the 5 yearly moving averages. 5 values on adding them we will get 142 and we will divide this total by 5 so it will be 328.4. Now the next step we will add 1643 and we will divide this total by 5 and it will give 1633 and the value is total by 5 we will get 326. These 5 values we are getting the total as 1634. Now we will divide this total by 5 and it will get 326 and it will be the same procedure until the last value is taken for calculating the 5 yearly moving averages. Now we will plot the actual values that is the moving averages on the graph but the actual values on the graph and this point on the graph. Now in the following years and the y-axis is representing the number of tourists. First point that is when the number of tourists were 1972 the number of tourists were 321 this point on the graph 18 on the graph. Now so we have plotted all the actual values on the graph and these points we are getting the graph is on the graph. So we will plot the points 4.2 and the next point is 1977 to 58.4 with this point is 1978. Now we will plot all these points on the graph. We have plotted the point 1973 and so we have plotted the next point which is to these points we are getting a trend line of the trend value that is the moving averages. This is the conclusion of the given question and that's all for this session. Hope you all have enjoyed this session.