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The Measurements (In Mm) of the Diameters of the Head of the Screws Are Given Below :Calculate the Mean Diameter of the Head of a Screw by the ' Assumed Mean Method'. - Algebra

Sum

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

Diameter (in mm)    no. of screws
33 - 35 9
36 - 38  21
 39 - 41 30
 42 - 44 22
 45 - 47 18

Calculate the mean diameter of the head of a screw by the ' Assumed Mean Method'.

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Solution

Let A = 40

Diameter (in mm)  Class Mark
     (X)
d =  X - A  no. of screws  f d
33 - 35 34 -6 9 -54
36 - 38  37 -3 21 -63
 39 - 41 40 0 30 0
 42 - 44 43 3 22 66
 45 - 47 46 6 18 108
      ∑ f =100 ∑fd = 57

`bar"d" = (∑"f""d")/(∑ "f") = 57/100=0.57`

Mean by Assumed Mean Method

`bar"x" = "A" + bar"d"`
    =40 + 0.57
    =  40.57  mm 

  Is there an error in this question or solution?
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