The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages.

Weekly wages

(Rupees)
0 - 2000 2000 - 4000 4000 - 6000 6000 - 8000

No. of workers 15 35 50 20

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Solution

Class
(Weekly wages in thousand rupees) Class Mark
x_i Frequency
(Number of workers)
f_i Class mark × Frequency
x_if_i

0 - 2000 1000 15 15000

2000 - 4000 3000 35 105000

4000 - 6000 5000 50 250000

6000 - 8000 7000 20 140000

$\sum_{} f_{i} = 120$ $\sum_{} x_{i} f_{i} = 510000$

Mean = $\frac{\sum_{} x_{i} f_{i}}{\sum_{} f_{i}}$
$= \frac{510000}{120}$
= Rs 4250
Hence, the mean of the weekly wages is Rs 4250.

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Weekly wages (Rupees)	0 - 2000	2000 - 4000	4000 - 6000	6000 - 8000
No. of workers	15	35	50	20

Class (Weekly wages in thousand rupees)	Class Mark x_i	Frequency (Number of workers) f_i	Class mark × Frequency x_if_i
0 - 2000	1000	15	15000
2000 - 4000	3000	35	105000
4000 - 6000	5000	50	250000
6000 - 8000	7000	20	140000
		$\sum_{} f_{i} = 120$	$\sum_{} x_{i} f_{i} = 510000$

The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages. Weekly wages (Rupees) 0 - 2000 2000 - 4000 4000 - 6000 6000 - 8000 No. of workers 15 35 50 20

The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages.

Weekly wages

(Rupees)
0 - 2000 2000 - 4000 4000 - 6000 6000 - 8000

No. of workers 15 35 50 20