## Introduction to Data Interpretation

#### Data Interpretation

Direction: The follow- ing pie-chart shows the number of students who failed in different subjects in an examination. Examine the chart and answer the following questions. The total number of students who have failed is 500. 1. The percentage of students who have failed in mathematics and language is :

1. Required percentage = 30 + 36 = 66%

##### Correct Option: C

Required percentage = 30 + 36 = 66%

1. Number of students who failed in mathematics is less than the students who did not qualify in languages by :

 = 500 × 6 = 30 100

##### Correct Option: C

 = 500 × 6 = 30 100

1. Total number of students who did not qualify in Mathematics and Language and Science, is :

1. Percentage of failure in Maths, Language and Science = 30 + 36 + 32 = 98%
∴ Required no. of students

 = 500 × 98 = 490 100

##### Correct Option: B

Percentage of failure in Maths, Language and Science = 30 + 36 + 32 = 98%
∴ Required no. of students

 = 500 × 98 = 490 100

1. The central angle of the sector for the students who have failed in mathematics is :

1. ∵ 100% ∴ 360°

 ∴ 30% ≡ 360 × 30 = 108° 100

##### Correct Option: D

∵ 100% ∴ 360°

 ∴ 30% ≡ 360 × 30 = 108° 100

1. The number of students failed in science is less than the number of students failed in all other subjects by :

1. Difference in percentage = (68 – 32)% = (36)%