Asked in: June 2026 board paper; mode of grouped data also came in March 2024 and July 2024Q.6 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…

Asked in: June 2026 board paper; mode of grouped data also came in March 2024 and July 2024

Q.6 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 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: Mode = 72 units

Highest frequency is 100, so modal class = 60–80.

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

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

\(= 60 + \left[ \dfrac{100 - 70}{200 - 70 - 80} \right] \times 20 = 60 + \dfrac{30}{50} \times 20 = 60 + 12 = 72\)

The mode of electricity used is 72 units.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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