 Hello and welcome to the session. In this session we will discuss a question which says that a movie reader gets to the record of the number of tickets sold each day during the lunch and the record is given as 33, 37, 39, 30, 38, 42, 23 and you have to find the mean absolute deviation of this data. Now before starting the solution of this question we should know a result and that is mean absolute deviation is equal to sum of absolute deviations from mean upon number of terms in the data. Now this result will work out as a key idea for solving out the given question. Now let us start with the solution of the given question in the question. This data is given to us and we have to find the mean absolute deviation of this data. So the data is given as 33, 37, 39, 30, 38, 42, 23. Now let us calculate mean of this data by using this formula. Now mean is equal to sum of all the terms which is 33 plus 37 plus 49 plus 30 plus 38 plus 42 plus 23. Now here number of terms are 1, 2, 3, 4, 5, 6 and 7. Further this is equal to, now adding all these terms this is equal to 252 upon 7 which is equal to 36. Now in the next step we will draw a table in which we will calculate the absolute deviations for this data. So here we have drawn a table and in the first column we have written the items which are given to us in the data. Let these items be x and in the second column we will find deviations which is equal to value minus mean that is x minus mean. We will find absolute deviations which means the absolute value of x minus mean. Now we have mean is equal to 36 which means in the second column we will find x minus 36. Now here the first item is 33 that is x is equal to 33 so deviation is 33 minus 36 which is equal to minus 3 then here x is 37 so deviation which is equal to x minus 36 will be 37 minus 36 which is equal to 1. Now next x is 49 so deviation will be 49 minus 36 which is 13 and here the deviation will be 30 minus 36 which is minus 6 then for 38 the deviation will be 38 minus 36 which is 2 then next for 42 the deviation will be 32 minus 36 which is 6 and for x is equal to 23 the deviation will be minus 13 and now we have to find absolute deviations. Now we know that absolute value of any number a is in and absolute value of any number minus a is also in. Now here we will take the absolute value of x minus mean that is we will take the absolute value of these deviations so here the first deviation is minus 3 so absolute value of minus 3 is 3 then absolute value of 1 is 1 absolute value of 13 is 13 then absolute value of minus 6 absolute value of 2 absolute value of 6 is 13 and we have calculated the absolute deviations now the sum of the deviations is equal to 44 now we have to calculate the mean absolute deviation for the given data now using the result which is given in the key idea mean absolute deviation is equal to 2 deviations from the mean upon number of terms now here sum of absolute deviations from mean is 44 number of terms so mean absolute deviation is equal to 44 upon 7 which is equal to 6.2 so mean absolute deviation is equal to 6.28 and this is the solution of the given question that's all for this session hope you all have enjoyed the session.