Question

An assembly-line machine turns out washers with the following thicknesses (in millimeters). Find the mean and standard deviation of the thicknesses. 1.75 1.81 1.38 1.89 1.82 1.36 1.95 1.65 1.76 1.24 1.41 1.51 1.79 1.64 1.26 1.78 The mean is mm. (Round to four decimal places as needed.)

Answer 1

A B D 1 sr no X x^2 2 1 1.75 3.0625 3 2 1.38 1.9044 4 3 1.82 3.3124 un 4 1.95 3.8025 6 5 1.76 3.0976 7 6 1.41 1.9881 8 7 1.79 3.2041 9 8 1.26 1.5876 10 9 1.81 3.2761 11 10 1.89 12 11 1.36 13 12 1.65 1.24 14 13 3.5721 1.8496 2.7225 1.5376 2.2801 2.6896 3.1684 15 14 1.51 16 15 1.64 17 16 1.78 Total 26 43.0552 18 19

let X be thickness of washers 8 8 Punzon un here n=16 mean is given by Ι Σ Χ; T6 Izi 16 from above table {x;= 26 fet ..Xat * 26 x 26 = 1.625 = 1.625 mm variance is given by n 2 V(x)=traxi 1x +6 2 =I IX: :2 To El 16. 2 from above table EX 243.0552 근 .. V(x) = 6 x 43.0552. - (1-625) To V(X) = 0.050325 mm² i standard deviatim of thickness is SD(x) = Avex) 0:050325 022433202243 mm 1.625 The mean is mm