The following table shows the weights (in kg) of 15 workers in a factory:

Weight (in kg): 60 63 66 72 75

Numbers of workers: 4 5 3 1 2

Calculate the mean weight.

Open in App

Solution

Calculation of Mean

x_i f_i f_i x_i

60 4 240

63 5 315

66 3 198

72 1 72

75 2 150

Total $\sum_{}^{} f_{i} =$ 15 $\sum_{}^{} f_{i} x_{i} =$ 975

∴ Mean weight = $\frac{\sum_{}^{} f_{i} x_{i}}{\sum_{}^{} f_{i}} = \frac{975}{15} = 65 kg$ .

Suggest Corrections

Similar questions

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

12

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

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

$\begin{matrix} Weight (in kg) & 60 & 63 & 66 & 69 & 72 No. of workers & 4 & 3 & 2 & 2 & 1 \end{matrix}$

Find the mean weight of the workers.

Weight (in kg) x:	60	61	62	63	64	65
No of workers f:	5	8	14	16	10	7

Weight (in kg)	60	63	66	69	72
No. of workers	4	3	2	2	1

Join BYJU'S Learning Program