In-Class Exercise 5.3: Extract the first ten cases from Exercise 2 (p. 92) as your data set and calculate the standard deviation. Show your work step by step. The value of first ten cases: 70, 35, 86, 81, 63, 71, 58, 53, 99, 85 Step1: Rank the value of first ten cases (x) as the first column as below Step 2: Make the table as below: x f fx (x-x-bar) f(x-x-bar) 35 1 35 35-70=-35 1225 53 1 53 53-70 -17 289 58 1 58 58-70=-12 144 63 1 63 63-70-7 49 70 1 70 70-70=0 0 71 1 71 71-70-1 1 81 1 81 81-70 11 121 85 1 85 85-70 = 15 225 86 1 86 86-70-16 256 99 1 99 99-70=29 841 N=10 fX=701 f(X-X-bar) = 1 Should be 0, because of (X-X-bar) 3151 rounding to the nearest integer of the mean Step 3: Calculate the mean: X-bar=fX/N = 701 / 10 = 70.1 = 70 (rounding to the nearest integer) Step 4: Complete the column (x-x-bar) = 1 (Note: the sum of dispersion should be zero because of rounding of mean in step 3) Step 5: Complete the column (x-x-bar)2-3151 Step 6: Calculate the variance s2=E(x-x-bar)2/N=3151/10-315.1 Step 7: Calculate the standard deviation s=s=315.1 = 17.75105631 = 17.8 (rounding to the nearest tenth)