 Hello and welcome to the session. In this session, we discussed the following question which says the mean of 10 numbers is 30. If each number is divided by 2, what will be the mean of the new numbers? Before we move on to the solution, let's recall what is mean. Mean is denoted by x bar and this is equal to summation of xi i goes from 1 to n upon n. This means that mean is found by adding all the values of the observations and dividing it by the total number of observations. This is the key idea for this question. Now let's move on to the solution. Now we are given the question that the mean of 10 numbers is 30. So we will take, let the given numbers be x1, x2, x3 and so on up to x10. That is we have taken these 10 numbers, x1, x2, x3 and so on up to x10. Now the mean of the given 10 numbers given by x bar is equal to x1 plus x2 and so on up to x10 and total upon the total number of numbers that is 10. In the question we are given that the mean of 10 numbers is 30. So this means that we have 30 is equal to x1 plus x2 and so on up to x10 upon 10. This gives us x1 plus x2 and so on up to x10 is equal to 30 into 10 equal to 300. So let this be equation 1. In the question is given that each number is divided by 2. So the new numbers 1 upon 2, x2 upon 2 and so on up to x10 upon, now the mean of the new numbers would be equal to x1 upon 2 plus x2 upon 2 plus and so on up to x10 upon 2 and this total upon the total number of numbers which are 10. So this would be further equal to x1 plus x2 plus and so on up to x10 upon 2 into 10. Now from equation 1 we have x1 plus x2 and so on up to x10 is equal to 300. So this is equal to 300 upon 2 into 10. So this 0 and this 0 cancels, 2 15 times is 30. So we get the mean of the new numbers is 15. So our final answer is 15. This completes the session. Hope you have understood the solution for this question.