00:01
Today we are wanting to find standard deviations and standard errors given a sample of 20 trials of how long it takes for a tennis ball to bounce five times.
00:11
Today we first we can find our sample standard deviation.
00:15
We do this by taking the square root of 1 over n our sample size minus 1 times and then for each sample number we take that minus our mean squared.
00:30
And we add the sum of each version of that sample.
00:36
Today, our average can be found by taking the sum of all the samples taken divided by the number of samples.
00:43
So we would get 47 .81 over 20 to get us a mean of 2 .3905.
00:51
Next, we can find our sum of xi minus x bar squared.
00:56
We do this by taking the first number of our sample minus our mean and squaring that, adding it to the second number of our sample minus the mean and squaring it, and then we keep doing it for each number in our sample.
01:11
Today, when we find the sum of our sample numbers minus our average squared, we would get a sum of 0 .1 -29099.
01:22
We can then plug that into our equation as well as 20 for n, and we would get a sample standard d .e.
01:29
Of 0 .0798.
01:33
Today we are now we want to find our adjusted standard deviation, which refers to what is also known as the population standard deviation...