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The measurements (in mm) of the diameter...

The measurements (in mm) of the diameters of the head of the screws are given below:

Calculate mean diameter of head of a screw by ‘Assumed Mean Method’.

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The measurments ( in mm) of the diameters of the head of the screws are given below : Calculate the mean diameter of the screw by ' Assumed Mean Method' . Steps to calculate mean by this method : (1) Assume mean A. In this example , A = 40. (Generally, the class mark of the class having the maximum frequency or the class mark of the middle class is chosen as the assumed mean.) (2) In column 1, write the class intervals,(Here, diameter). (3) In column 2, write the corresponding class marks. (4) In column 3, write the value of d_(i), " where " d_(i) = x_(i) - A . A is the assumed mean. (5) In column 4, write the frequencies (f_(i)) . Write Sigma f_(i) at the bottom of this column. (6) In column 5, write the product (f_(i) xx d_(i)) and their sum Sigma f_(i) d_(i) . Calculate bar d " and " bar X using the following formulae : bard = (Sigma f_(i)d_(i))/(Sigma f_(i))." Mean" barX = A + bar d . [d : mean of deviations.]

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