00:01
So for this problem, the first thing that we want to do is calculate the mean value.
00:05
We do that by taking the sum of all of our data points and dividing that by the number of data points, where i'll note that we have n equals 30 here.
00:14
Calculating this out, we'll find that the mean value of the dataset is going to be equal to 139 .174.
00:22
The standard deviation of the dataset, we can calculate by taking the square root of the sum, of the difference between each data point and that mean value, squaring that, and then dividing that by, in this case, one second here, i'm just double -checking this.
00:45
Okay, so this would be a sample, so we divide by n -1.
00:49
So we then find the standard deviation when we apply that formula to be equal to 41 .10, pardon me, 1012.
00:59
Then we can find that the median value, that's a little bit trickier, but we would have that because we have n equals 30, the median value is going to be the average of the 15th and 16th.
01:18
Yeah, it's going to be the average of the 15th and 16th element when we put in order.
01:24
So i'll write it this way.
01:26
It's ordered list element 15 plus ordered or orlist for ordered list element 16 divided by 2.
01:38
Plugging in the values here, we'd have that number 15 is 140 .63.
01:47
And number 16 is 142 .8.
01:52
So taking that and taking the average, we find that the median value is going to be 141 .41 .1 .1...