The following table shows the weights of 12 workers in a factory.

Weight (in kg) 60 63 66 69 72

No. of workers 4 3 2 2 1

Find the mean weight of the workers.

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Solution

Weight (x_i) No. of Workers (f_i) (f_i)(x_i )

60 4 240

63 3 189

66 2 132

69 2 138

72 1 72

$\sum_{}^{} f_{i}$ = 12 $\sum_{}^{} f_{i} x_{i} =$ 771

Thus, we have:

$Mean = \frac{\sum_{}^{} x_{i} f_{i}}{\sum_{}^{} f_{i}}$

$= \frac{771}{12} = 64.25$

Thus, the mean weight of the workers is 64.25 kg.

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12

Weight (in kg)	$60$	$64$	$68$	$70$	$72$
Number of workers	$3$	$4$	$2$	$2$	$1$

Weight (in kg):	60	63	66	72	75
Numbers of workers:	4	5	3	1	2

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No. of workers	15	35	50	20

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