Question

calculate the mean using any method the following table given weights of 60 workers in a factory: weight (kg) 64,63,62,61,60,59 . Number of workers=8, 18,12,9,7,6​

Answer 1

Answer:

Let the assumed mean be A= 63

Calculation of Mean

Weight (in kg) No of workers d

i

=x

i

−63 f

i

d

i

60 5 -3 -15

61 8 -2 -16

62 14 -1 -14

63 16 0 0

64 10 1 10

65 7 2 14

N=∑f

i

=60 ∑f

i

d

i

=−21

We have,

N= 60, A= 63 and ∑f

i

d

i

=−21

∴Mean=A+[

N

1

∑f

i

d

i

]

∴Mean=63+(

60

−21

)=63−

20

7

=63−0.35=62.65

Hence, mean weight of a worker= 62.65 kg.