00:01
So in this question, the given values of x and y are as shown on the screen.
00:06
We have to compute summation x.
00:11
Coming to part a, we have to compute summation x, which will be nothing but some of all the values of x variable.
00:20
That is 11 plus 0 plus 36 plus 21 plus so on till minus 21.
00:30
So this will be equals to 103.
00:33
Similarly, summation x square will be squaring each of these values of x and then adding, that is 11 square plus 0 square plus 36 square plus 21 square plus so on till minus 21 raised to the power 2.
00:54
So this will be equals to 4607.
00:59
Similarly, we will be calculating summation y, that is 10 plus minus 2.
01:05
2 plus 29 plus so on minus 10 which will be equals to 90 and summation y square which will be 10 square plus minus 2 square plus 29 square plus so on plus minus 10 square which will be equals to 2258 coming to part b of the question in which we have to find the sample mean and variance for both of these variables so, talking about x, sample mean that is x bar is equals to summation over x divided by n.
01:50
Summission of x is 103.
01:54
Here, there are total of 10 values.
01:56
So n is equal to 10.
01:58
We get 10 .3.
02:01
Talking about sample variance, that is xx square, will be equals to summation x minus x bar whole square divided by n minus 1.
02:14
Here value of x bar is known, all the values of x are known.
02:19
So, what we will be doing? from each values of x, that is from 11, we'll be subtracting x bar, that is 10 .3, and squaring that, then similarly we'll be calculating for each values of x and then adding all these.
02:33
So we get 394 .01...