a. Calculate the mean by hand of the following numbers: 1.1, 3.2. 6.5, 4.2, 3.8. Show all work. Mean: Calculate the both the sample and population variance and standard deviation by hand, showing your work, of the following numbers: 12, '7, 8. 11, 9, 7. Sample variance: Sample Standard Deviation: Population variance: Population Standard Deviation: Check your work in part b by using 1-VAR-STATS on your TI-83/84 calculator to calculate the sample and population standard deviation for the numbers given in part b. Take a picture of your 1-VAR- STATS output and embed the picture on this page to turn in. (Obviously, if you did not get the same answer using the calculator as you did by hand, check your work]. The link to the video to learn how to do this is here: Tl-83184: Lists. Means and Standard Deviations