## Introduction to Data Interpretation

#### Data Interpretation

Direction: The pie graph indicates the break-up of the cost of construction of a house. Assuming that the total cost of construction is \$ 6,00,000, answer the following questions.

1. The percentage of the total cost of construction spent on cement, steel and supervision is :

1. From the given pie chart in question ,
Corresponding angle for cement, steel and supervision = 72° + 54° + 54° = 180°

 ∴ Required percent = Corresponding angle for cement, steel and supervision × 100 360°

##### Correct Option: A

From the given pie chart in question ,
Corresponding angle for cement, steel and supervision = 72° + 54° + 54° = 180°

 ∴ Required percent = Corresponding angle for cement, steel and supervision × 100 360°

 ∴ Required percent = 180 ° × 100 = 50% 360°

1. The amount spent on labour exceeds the amount spent on steel by :

1. On the basis of given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Steel ⇒ 54°
∴ Required excess amount = Corresponding central angle of Labour - Corresponding central angle of Steel

##### Correct Option: A

On the basis of given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Steel ⇒ 54°
∴ Required excess amount = Corresponding central angle of Labour - Corresponding central angle of Steel
∴ Required excess amount = 90° – 54° = 36° i.e. 10% of total cost.

1. The amount spent on labour exceeds the amount spent on supervision by :

1. From the given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Supervision ⇒ 54°
Difference = Corresponding central angle of Labour - Corresponding central angle of Supervision
Difference = 90° – 54° = 36°

##### Correct Option: C

From the given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Supervision ⇒ 54°
Difference = Corresponding central angle of Labour - Corresponding central angle of Supervision
Difference = 90° – 54° = 36°

 ∴ Required excess amount = \$ 36 × 600000 = \$ 60000 360

1. The amount spent on timber is :

1. According to given pie chart in question ,
Corresponding central angle for the cost on timber = 36°
Total cost of construction = \$ 6,00,000
∵ 360° ≡ \$ 600000

 ∴ 1° = 600000 360

##### Correct Option: A

According to given pie chart in question ,
Corresponding central angle for the cost on timber = 36°
Total cost of construction = \$ 6,00,000
∵ 360° ≡ \$ 600000

 ∴ 1° = 600000 360

 ∴ 36° ≡ \$ 600000 × 36 = \$ 60000 360

Direction: The following pie diagram gives the marks scored by a student in different subjects – English, Hindi, Mathematics, Science and Social Science in an examination. Assuming that the total marks obtained for the examination are 540, answer the questions.

1. The marks scored in Hindi and Mathematics exceed the marks scored in English and Social science by

1. As per the given pie chart in question ,
Corresponding angles of ( Hindi + English ) = ( 70 + 90 ) = 160°
Corresponding angles of ( English + Social Science ) = ( 55° + 65° ) = 120°
Difference = Corresponding angles of ( Hindi + English ) - Corresponding angles of ( English + Social Science )
Difference = 160 – 120 = 40°
∵ 360° ≡ 540

##### Correct Option: C

As per the given pie chart in question ,
Corresponding angles of ( Hindi + English ) = ( 70 + 90 ) = 160°
Corresponding angles of ( English + Social Science ) = ( 55° + 65° ) = 120°
Difference = Corresponding angles of ( Hindi + English ) - Corresponding angles of ( English + Social Science )
Difference = 160 – 120 = 40°
∵ 360° ≡ 540

 ∴ 40° ≡ 540 × 40 = 60 360