## Introduction to Data Interpretation

#### Data Interpretation

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

1. The difference of marks between English and Science is the same as between

1. From the given pie chart in question ,
Difference between corresponding angles for English and Science = 80° – 55° = 25°
Difference between corresponding angles for Maths and Social Science = 90° – 65° = 25°

##### Correct Option: D

From the given pie chart in question ,
Difference between corresponding angles for English and Science = 80° – 55° = 25°
Difference between corresponding angles for Maths and Social Science = 90° – 65° = 25°
Hence , The difference of marks between English and Science is the same as between Mathematics and Social science

1. The subject in which the student scored 105 marks is

1. According to given pie chart in question ,
Total marks obtained = 540
Corresponding angle for Hindi = 70°
∵ 360° ≡ 540

 ∴ 1° = 540 360

##### Correct Option: B

According to given pie chart in question ,
Total marks obtained = 540
Corresponding angle for Hindi = 70°
∵ 360° ≡ 540

 ∴ 1° = 540 360

 ∴ 70° ≡ 540 × 70 = 105 360

Hence , required answer is Hindi .

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

1. From the given pie chart in question ,
Corresponding angle for English, Science and Social Science = 55° + 80° + 65° = 200°
Corresponding angle for Hindi and Maths = 90 + 70 = 160°
Change in corresponding angle = 200 - 160 = 40

 ∴ Required percent = Change in corresponding angle × 100 Corresponding angle for Hindi and Maths

##### Correct Option: C

From the given pie chart in question ,
Corresponding angle for English, Science and Social Science = 55° + 80° + 65° = 200°
Corresponding angle for Hindi and Maths = 90 + 70 = 160°
Change in corresponding angle = 200 - 160 = 40

 ∴ Required percent = Change in corresponding angle × 100 Corresponding angle for Hindi and Maths

 Required percent = 40 × 100 = 25% 160

Direction: The pie- chart given below shows the usage of materials in the construction of a house. Study the chart and answers the questions : 1. The average of percentages of steel, cement and miscellaneous items used in the construction is :

1. On the basis of given pie chart in question ,
Sum of the corresponding angles for steel, cement and miscellaneous items = (36° + 72° + 108°) = 216°
∵ 360° ≡ 100%

 ∴ 1° = 100 360

 ∴ 216° ≡ 100 × 216 = 60% 360

##### Correct Option: C

On the basis of given pie chart in question ,
Sum of the corresponding angles for steel, cement and miscellaneous items = (36° + 72° + 108°) = 216°
∵ 360° ≡ 100%

 ∴ 1° = 100 360

 ∴ 216° ≡ 100 × 216 = 60% 360

∴ Required average = 60 ÷ 3 = 20%