 Hi and how are you all today? The question says in a mathematics test given to 15 students the following are the marks recorded. Now these are the marks of the students which are given to us. In this question we need to find the mean, median and mode of this data. Let us proceed on with our solution. First of all we will be finding the mean of this data that is sum of all observations divided by the total number of observations. So what we need to do is we need to find the sum of all these 15 marks and the answer is coming out to be 822. It will get divided by 15 and further the answer will be 54.8. So the mean of this data is equal to 54.8 that means on average the students are scoring 54.8 marks in the test. Further we need to find out the median of this data. So to find out the median first of all we need to arrange the given data in ascending order. That will be 39 then 40, 41, 42. There are two times 40 coming. 46, 48, 52 is appearing three times. Then 54, 60, 62, 96, 98. Now here the number of observations given to us is equal to 15 and this is an odd number. So the formula to find out median will be n plus 1 by 2 with observation. That is further equal to n is 15 plus 1 divided by 2 that is further equal to 16 by 2 that is 8th observation. So the 8th observation here is 1, 2, 3, 4, 5, 6, 7, 8 that is equal to 52. So the median of this given data is equal to 52. Now lastly we need to figure out the mode. Mode is the value that is appearing for the maximum time. So if you notice this in here 52 is appearing the maximum time that is three times. There is no other number which is appearing more than three times. So here mode is equal to 3 again. Mode is equal to sorry 50. Right this completes my solution. Hope you have a great time ahead. Take care.