The following table shows the information regarding the milk collected from farmers on a milk collection centre and the content of fat in the milk, measured by a lactometer. Find the mode of fat content.

Content of fat (%)	2–3	3–4	4–5	5–6	6–7
Milk collected (Litre)	30	70	80	60	20

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: Mode ≈ 4.33% fat

The highest frequency is 80, so the modal class is 4–5.

\(L = 4\), \(f_1 = 80\), \(f_0 = 70\), \(f_2 = 60\), \(h = 1\)

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

\[ = 4 + \frac{80 - 70}{160 - 70 - 60} \times 1 \]

\[ = 4 + \frac{10}{30} \times 1 \approx 4.33 \]

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

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The following table shows the information regarding the milk collected from farmers on a milk collection centre and the content of fat in the milk, measured by a lactometer. Find the mode of fat content.

1 answer

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