 Hello and how are you all? Today, my name is Priyanka. The question to be discussed over here is, the following observation has been arranged in ascending order. If the median of the data is 63, find the value of x. Now, this is the data which is given to us. We need to find out the value of x. So, let us proceed on with our solution. First of all, we need to note down the number of observations. Here, the number of observation is 10. So that means this is an even number. So here we will be using the formula to find out the median in case the number of observations are even. So median is equal to n by 2th plus n plus 1 divided by 2th, the whole divided by 2 observation. Now here, let us substitute the value of n, that is 10. So 10 by 2 plus 10 plus 1 by 2, the whole divided by 2th observation and that is equal to 5th observation plus 6th observation divided by 2. Now, since the data which is given to us is already in the ascending order, so we will count to the fifth and sixth, that is x and x plus 2. So here in place of fifth and sixth observation, we will be substituting x and x plus 2, the whole divided by 2 and the median in each case is given to us as 63. Right? Now, if you see this is a linear equation in one variable, so we can easily find out the required answer. 63 will get multiplied by 2 when this 2 is taken from the left, right-hand side to the left-hand side. x plus x becomes 2x plus 2, further 126 minus 2, the whole divided by 2 will be equal to x. Now 2 has been subtracted from their product and this 2 will get here divided. So we have 124 divided by 2 that is equal to x, so here the value of x is 62. This is our required answer. Hope you understood the concept well. Have a nice day. Bye for now.