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S.chand publication New Learning Composite mathematics solution of class 8 Chapter 13 Data Handling Exercise 13C

 Exercise 13C

Question 1

Sol :

Total number of students=60+12+36+72=180

Angle of students transport by bus=60180×360=120°

Angle of students transport by car=12180×360=24°

Angle of students transport by scotter=36180×360=72°

Angle of students transport by wallk=72180×360=144°

∴Angles are 120° , 24°, 72° , 144°

<Diagram to be added>


Question 2

Sol :

Total students=20+15+10+9+6=60

Angle of students for football=2060×360

=120°

Angle of students for basketball=1560×360

=90°

Angle of students for hockey=1060×360

=60°

Angle of students for batminton=960×360

=54°

Angle of students for boxing=660×360

=36°

<Diagram to be added>


Question 3

Sol :

Total percentage=(50+15+25+10)%=100%

Entertainment in angle=50100×360

=180°

News in angle=15100×360

=52°

Sports in angle =25100×360

=90°

Others in angle=10100×360

=36°

<Diagram to be added>


Question 4

Sol :

Let, the angle of the sector representing in the population of the city D = x°

We know that,

⇒120°+96°+60°+x°=360°

Or, x=360°–270°=84°

∴ A sector of 120° presents 100 lakh population

∴ A sector of 1° presents 100120=56 population.

Similarly, D sector 940 presents =56×84= 70°


Question 5

Sol :

<Figure to be added>

(a)

We know that-

⇒2x+5x+81+55=360°

⇒7x+136°=360°

⇒7x=360°-136°=224°

x=2247=32° (proved)


(b)

The percentage of the se group=81360×100

=452=2212%


(c)

Number of students who choose mathematics=48 

Total angle of section without mathematics=55°+81°+(2×32)°

=55°+81°+64°=200°

Total angle of section with mathematics=(5×32)=160°

∴160° represents 48 pupils

∴1° represents =48160

∴200° represents =48160×200=60 pupils

∴Number of students without math=60

∴Total group of students=60+48=108 pupils


Question 6

Sol :

<Figure to be added>

∵360° represents 800 students 

1° represents 800360 students 

(a) Students come in public bus =800360×54

=120 pupils


(b) The angle of section of the students who are come on foot

=360°-(216°+18°+54°)

=360°-288°

=72°

Total angle who do not use institute bus =800360×144

=320°


(c) The students angle who come on foot=72°

∴Number of student who come on foot=800360×72

=162 pupils

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