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

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: Mean weekly wage = ₹ 4250

Class	Class mark \(x_i\)	Frequency \(f_i\)	\(f_ix_i\)
0–2000	1000	15	15000
2000–4000	3000	35	105000
4000–6000	5000	50	250000
6000–8000	7000	20	140000
Total		\(\sum f_i = 120\)	\(\sum f_ix_i = 510000\)

\[ \bar{X} = \frac{\sum f_ix_i}{\sum f_i} = \frac{510000}{120} \]

\[ \bar{X} \approx 4250 \]

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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