00:01
Hello students, we have given this sample data of 5 observations.
00:04
Now in the first part we have given that the sample mean and the sample median are both 88.
00:11
So sample mean is same as the sample median and that is equal to 88 and we have to choose the correct option.
00:29
Now we know that for a symmetric distribution.
00:32
So suppose this is the symmetric distribution in which this is the mean and this is same as the median.
00:43
So for the symmetric distribution we have mean is equal to median and since in our given question we have already given that the sample mean is same as the sample median which is 88.
00:55
So therefore this is nothing but the case of the symmetric distribution.
01:01
That means option a is the correct option which is the distribution of the data.
01:08
The distribution of the given data is symmetric.
01:22
Then in the next question if you add 5 to each data values then we have to determine the resulting mean.
01:32
Now suppose expectation of x is the original mean of the given data of given data and suppose if we calculate the mean of this given data that is expectation of x is equal to summation of x divided by n and this is equal to now we have given the data values which are 86 plus 87 plus 88 plus 89 plus 90 and divided by the total number of observations are 5.
02:13
So this is equal to 88.
02:15
This is the sample mean and now if we add 5 to each data values then we have to calculate the resulting mean...