Chapter: Statistics· Mathematics Part 1 (Algebra)

Asked in: March 2026 board paper; central angles table also came in July 2025Q.12 A survey was conducted in the school. Students using different modes of transport is given below:Mode of transportPercentage of studentsBicycle35Bus\(a\)Railway\(2a\)Ri…

Asked in: March 2026 board paper; central angles table also came in July 2025

Q.12 A survey was conducted in the school. Students using different modes of transport is given below:

Mode of transport	Percentage of students
Bicycle	35
Bus	\(a\)
Railway	\(2a\)
Rickshaw	20

Find the value of \(a\) and draw the pie diagram.

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: \(a = 15\); central angles: Bicycle 126°, Bus 54°, Railway 108°, Rickshaw 72°

Total percentage is 100: \(35 + a + 2a + 20 = 100 \Rightarrow 3a = 45 \Rightarrow a = 15\)

So Bus = 15%, Railway = 30%.

Mode	Percentage	Central angle
Bicycle	35	\(\dfrac{35}{100} \times 360^\circ = 126^\circ\)
Bus	15	\(\dfrac{15}{100} \times 360^\circ = 54^\circ\)
Railway	30	\(\dfrac{30}{100} \times 360^\circ = 108^\circ\)
Rickshaw	20	\(\dfrac{20}{100} \times 360^\circ = 72^\circ\)
Total	100	360°

[Figure: a circle divided into four sectors of 126° (Bicycle), 54° (Bus), 108° (Railway) and 72° (Rickshaw), each labelled.] Draw any radius, then mark the angles one after another with a protractor.

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

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Asked in: March 2026 board paper; central angles table also came in July 2025Q.12 A survey was conducted in the school. Students using different modes of transport is given below:Mode of transportPercentage of studentsBicycle35Bus\(a\)Railway\(2a\)Ri…

1 answer

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