00:01
For this problem, we are given the data shown, and we are asked to compute the coefficient of variation.
00:06
Now, the coefficient of variation basically tells us how large the sample standard deviation for our data set is relative to the sample mean.
00:16
So, and one second, it's given as a percentage, so we take that fraction or decimal and then multiply by 100%.
00:23
So we'll first need to find our sample mean.
00:27
Now, the sample mean we find by taking the sum of all of the values, the dataset divided by the number of values.
00:33
So you can see i've already copied down the data into my software here.
00:37
If i do just total of x, that's the same thing as adding all of those values together.
00:41
We find that the sum is 34 .2 and we know that we have a sample of 10 students.
00:47
So we take 34 .2 over 10, which gives us a mean value of 3 .42.
00:54
We'll also need our sample standard deviation, s.
00:57
So our sample standard deviation is found by taking the square root of the sum, the each value in the sample minus the sample mean squared divided by the sample size minus 1...