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Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.

Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.

Milk (Litre)1–33–55–77–99–1111–13
No. of hotels7515203518

1 answer

Answer: Mode ≈ 9.94 litre

The highest frequency is 35, so the modal class is 9–11.

\(L = 9\), \(f_1 = 35\), \(f_0 = 20\), \(f_2 = 18\), \(h = 2\)

\[ \text{Mode} = L + \left[\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right] \times h \]

\[ = 9 + \frac{35 - 20}{70 - 20 - 18} \times 2 \]

\[ = 9 + \frac{15}{32} \times 2 \approx 9.94 \]

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