00:01
Shown here are the jersey numbers for 11 players randomly selected from a football team.
00:06
And we are asked to find the range, variance, and standard deviation for the given sample.
00:13
So first the range.
00:16
The range is calculated as the maximum value minus the minimum value.
00:26
So if we look at the sample, the maximum value is 96 and the minimum value is 28.
00:33
So the range is calculated as 96 minus 28.
00:38
Which is 68.
00:45
Now for the variance, this is sample variance because this is a sample from the team.
00:51
It can be calculated using this formula.
01:06
So here x bar is the sample mean, n is the sample size, that's 11.
01:13
So we could first calculate the sample mean and then calculate all the terms that would be summed in the summation and then divide by n minus 1 to arrive at the sample variance.
01:27
Or we we could use software such as excel.
01:30
So i've gone ahead and put all of the sample data here in excel...