00:01
Hey there, welcome to numeraid.
00:02
We were asked to find the range, variance, and standard deviation for our given sample data as shown below.
00:11
So let's go ahead and find the range first.
00:14
So for our range, we know that the range formula is going to be our maximum value, so max, minus our minimum value, the smallest value.
00:27
So our largest value given from the data set is 28 .4 minus the smallest 27, giving us a range of 1 .4.
00:40
So hence 1 .4 will be our range.
00:44
Now let's go ahead and calculate the mean to find the variance and standard deviation.
00:51
So our mean takes the sum of our x's, so sum of the sample data, divided by the sample size.
01:00
So we know that we have a total of 12 data points.
01:05
So hence we have the sum being 329 .5 divided by 12, giving us a mean of 27 .46.
01:16
Now we can go ahead and use this mean to calculate the variance.
01:20
So, hence we know here that the variance is going to be the sum of squares, so the sum of x minus the mean squared divided by the sample size minus 1, 12 minus 1 since this sample data...