Electricity used by some families is shown in the following table. Find the mode of electricity used.Use of Electricity (Units)0—2020—4040—6060—8080—100100—120No. of Families1350701008017

Q.3 (B)(iii) Electricity used by some families is shown in the following table. Find the mode of electricity used.

Use of Electricity (Units)	0—20	20—40	40—60	60—80	80—100	100—120
No. of Families	13	50	70	100	80	17

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: Mode = 72 units

The maximum frequency is 100, so the modal class is 60—80.

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

Mode \(= L + \left[ \dfrac{f_1 - f_0}{2f_1 - f_0 - f_2} \right] \times h\)

\(= 60 + \left[ \dfrac{100 - 70}{2(100) - 70 - 80} \right] \times 20 = 60 + \dfrac{30}{50} \times 20\)

\(= 60 + 12 = 72\).

Hence the mode of electricity used is 72 units.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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