00:01
In this problem, we are given that there is a data set, and the scores in this data set, let's represent that with the random variable x that is such that the main value, this is equal to 13, and the standard deviation of the dataset, this is equal to 1 .9.
00:18
And in the first part, we have the data value which is equal to 16, and we have to get the z score corresponding to this.
00:25
So to find that, we simply use this formula and put the values of the variables.
00:31
So doing that, we will get the z score as 16 minus 13 divided by 1 .9.
00:36
And this now simplifies to 1 .6 approximately.
00:42
So let's round up to 3 decimal place.
00:44
So this will be 1 .579 approximately.
00:48
And in the next part, we have the data value equal to 9, and we have to get the z score even corresponding to this.
00:55
So using the same formula when we put the values, we get the z score as 9 minus 13, divided by 1 .9...