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Chapter: Statistics· Mathematics Part 1 (Algebra)

Asked in: June 2026 board paper; reading a pie diagram also came in March 2024 and March 2025Q.11 The following pie diagram represents the number of valid votes obtained by four students who contested for school captain. The total of valid votes poll…

Asked in: June 2026 board paper; reading a pie diagram also came in March 2024 and March 2025

Q.11 The following pie diagram represents the number of valid votes obtained by four students who contested for school captain. The total of valid votes polled was 720.
[Figure: pie diagram with sectors Ram 100°, Raj 80°, Shubha 120°, Radha 60°]
Answer the following questions:
(a) Who has won the election?
(b) What is the minimum number of votes? Who got it?
(c) By how many votes did the winner defeat the nearest contestant?

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Answer: (a) Shubha (b) 120 votes, Radha (c) 40 votes

Votes = \(\dfrac{\text{central angle}}{360^\circ} \times 720 = \text{angle} \times 2\)

Ram = 200, Raj = 160, Shubha = 240, Radha = 120 (total 720).

(a) Shubha has the largest angle (120°), so Shubha won with 240 votes.

(b) The smallest angle is 60°, so the minimum is 120 votes, got by Radha.

(c) Nearest contestant is Ram with 200 votes. Margin = 240 − 200 = 40 votes.

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