Electricity used by some families is shown in the following table. Find the mode for use of electricity. Use of electricity (Unit)0–2020–4040–6060–8080–100100–120 No. of families1350701008017

Answer: Mode = 72 units The highest frequency is 100, so the modal class is 60–80. L = 60 , f₁ = 100 , f₀ = 70 , f₂ = 80 , h = 20 Mode = L + [f₁ - f₀/2f₁ - f₀ - f₂] × h = 60 + 100 - 70/200 - 70 - 80 × 20 = 60 + 30/50 × 20 ≈ 72

Electricity used by some families is shown in the following table. Find the mode for use of electricity.

Use of electricity (Unit)	0–20	20–40	40–60	60–80	80–100	100–120
No. of families	13	50	70	100	80	17

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: Mode = 72 units

The highest frequency is 100, so the modal class is 60–80.

\(L = 60\), \(f_1 = 100\), \(f_0 = 70\), \(f_2 = 80\), \(h = 20\)

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

\[ = 60 + \frac{100 - 70}{200 - 70 - 80} \times 20 \]

\[ = 60 + \frac{30}{50} \times 20 \approx 72 \]

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

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Electricity used by some families is shown in the following table. Find the mode for use of electricity.

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