A frequency distribution table for the production of oranges of some farm owners is given below. Find the mean production of oranges by 'assumed mean' method.

Production (Thousand rupees)	25–30	30–35	35–40	40–45	45–50
No. of farm owners	20	25	15	10	10

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: Mean production ≈ 35.31 thousand rupees, i.e. about ₹ 35,310

Take assumed mean \(A = 37.5\).

Class	Class mark \(x_i\)	\(d_i = x_i - 37.5\)	\(f_i\)	\(f_id_i\)
25–30	27.5	-10	20	-200
30–35	32.5	-5	25	-125
35–40	37.5	0	15	0
40–45	42.5	5	10	50
45–50	47.5	10	10	100
Total			\(\sum f_i = 80\)	\(\sum f_id_i = -175\)

\[ \bar{d} = \frac{\sum f_id_i}{\sum f_i} = \frac{-175}{80} \approx -2.19 \]

\[ \bar{X} = A + \bar{d} = 37.5 + (-2.19) \]

\[ \bar{X} \approx 35.31 \]

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

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