00:01
This problem we have been asked which of the given statements is true for a distribution of scores.
00:06
Now, the first statement is that no score is exactly equal to the mean.
00:12
Now, this is wrong.
00:14
It is possible that a score is exactly equal to the mean.
00:17
Now, for that, let us just consider an example.
00:20
Let us consider a distribution of scores in which we have three twos.
00:24
Now, in this case, what will the mean be? now the mean will be equal to the sum of all of these divided by the number of data points.
00:33
So we end up with 6 divided by 3.
00:35
That is 2.
00:36
And we can see that the mean is equal to each value over here.
00:40
So it is not true that no score is exactly equal to the mean.
00:44
So option a is not correct.
00:47
Now next we have no score is exactly equal to the median.
00:51
Now this will also not be true.
00:54
And for that we can consider the same example 2 -22.
00:57
Now we have a total of three data points, so the median will just be the data point in the middle.
01:04
The data point in the middle of the set is 2.
01:07
So the median is 2.
01:08
We can see that the scores are exactly equal to the median, so option b is also not correct...