## Introduction to Data Interpretation

#### Data Interpretation

Direction: The pie- chart given below shows the marks obtained by a student in an examination.
If the total marks obtained by him in the examination were 540, answer the questions given below based on this pie chart.

1. What is the central angle corresponding of Science?

1. Corresponding angle for science = 360° – (90° + 65° + 55° + 70°)
= (360° – 280°) = 80°

##### Correct Option: B

Corresponding angle for science = 360° – (90° + 65° + 55° + 70°)
= (360° – 280°) = 80°

1. In which subject, did the student obtain 105 marks?

1. ∵ 540 ≡ 360°

 ∴ 105° ≡ 360 × 105 = 70° 540

Hence, the student obtained 105 marks in Hindi

##### Correct Option: D

∵ 540 ≡ 360°

 ∴ 105° ≡ 360 × 105 = 70° 540

Hence, the student obtained 105 marks in Hindi

Direction: The pie chart given below shows the spendings of a family on various heads during a month. Study the graph and answer the following questions.

1. Which three expenditures together have a central angle of 108°?

1. ∵ 360° ≡ 100 %

 ∴ 108° ≡ 100 × 108 = 30 % 360

Fuel + Education + Others
= 9 + 15 + 6 = 30%

##### Correct Option: B

∵ 360° ≡ 100 %

 ∴ 108° ≡ 100 × 108 = 30 % 360

Fuel + Education + Others
= 9 + 15 + 6 = 30%

1. Expenditure on Rent is what per cent of expenditure on Fuel?

1. Required percentage

 = 14 × 100 ≈ 156 % 9

##### Correct Option: B

Required percentage

 = 14 × 100 ≈ 156 % 9

1. What is the ratio of the expenses on Education to the expenses on Food?

1. Required ratio = 15 : 45 = 1 : 3

##### Correct Option: A

Required ratio = 15 : 45 = 1 : 3