Since the data set is a sample of numbers, the standard deviation is given by s = x x 2 n 1 . We will first find x x 2 . In column 2 in the table below we will calculate the deviation between each data value and the mean. Then in column 3 we will square each deviation. x x x x x 2 51 51 38.545 (12.455)2 = 155.127 36 36 38.545 (-2.545)2 = 6.477 39 39 38.545 (0.455)2 = 0.207 26 26 38.545 (-12.545)2 = 157.377 41 41 38.545 (2.455)2 = 6.027 34 34 38.545 (-4.545)2 = 20.657 49 49 38.545 (10.455)2 = 109.307 42 42 38.545 (3.455)2 = 11.937 25 25 38.545 (-13.545)2 = 183.467 54 54 38.545 (15.455)2 = 238.857 27 27 38.545 (-11.545)2 = 133.287 The sum of the squared deviations in column 3, rounded to three decimal places, is x x 2 =