Question

Class 8th NCERT answer of
Chapter 5 Data Handling
Ex.5.2
Ques4 The adjoining pie chart gives the marks scored in an examination by a student in Hindi ,English, Maths, social science and Science. If the total marks obtained by the students were 540, answer the following questions.
(i) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angle=360degree.
So, for 105 marks, what is the central angle?)
(ii) How many more marks were obtained by the student in Mathematics than in Hindi ?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in the science and Hindi.
(Hint: Just study the central angles.)​

Answer 1

Step-by-step explanation:

(i)

Total marks obtained =540

540

∘

represents 360

∘

∴ The central angle for 105 marks:

=

540

105

×360

∘

=70

∘

Hindi's central angle is 70

∘

∴ Student scored 105 marks in Hindi

(ii)

Difference between central angles of Maths and Hindi

⇒90

o

−70

o

⇒20

o

Marks for 20

∘

central angles =

360

20

×540

∘

=30

∘

∴30 more marks were obtained by student in maths than in hindi

(iii)

Sum of central angles of social science and maths

=65

∘

+90

∘

=155

∘

Sum of central angles of Science and Hindi =80

∘

+70

∘

=150

∘

Sum of central angles for social Science and Mathematics > Science and Hindi.