Non-Grouped Data Non-grouped data is just a list of values. The standard deviation is given by the formula: s means 'standard deviation'. S means 'the sum of'. means ' the mean ' Example Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14 First work out the mean: 10.222 Now, subtract the mean individually from each of the numbers given and square the result. This is equivalent to the (x - )² step. x refers to the values given in the question. x 4 9 11 12 17 5 8 12 14 (x - ) 2 38.7 1.49 0.60 3.16 45.9 27.3 4.94 3.16 14.3 Now add up these results (this is the 'sigma' in the formula): 139.55 Divide by n. n is the number of values, so in this case, is 9. This gives us: 15.51 And finally, square root this: 3.94 The standard deviation can usually be calculated much more easily with a calculator and this may be acceptable in some exams. On my calculator, you go into the standard deviation mode (mode '.'). Then type in the first value, pr...