## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the pie-chart and answer the questions. The pie-chart given below shows the expenditure incurred in bringing out a book by a publisher.

1. What is the central angle showing the cost of paper?

1. From the above given in pie chart ,
Corresponding percentage of paper = 16%
∵ 100% ≡ 360°

 ∴ 1% ≡ 360° 100

##### Correct Option: D

From the above given in pie chart ,
Corresponding percentage of paper = 16%
∵ 100% ≡ 360°

 ∴ 1% ≡ 360° 100

 ∴ 16% ≡ 360° × 16 = 57.6° 100

Direction: The pie– chart, given here shows monthly expenses on various heads and savings of the family of Mr. Rao. Study the chart and answer the questions based on it.

1. What percent of his income, does Mr. Rao spend on clothing, transport and entertainment combined together?

1. According to given pie chart in question ,
Corresponding angle for clothing, transportation and entertainment = 18° + 14° + 13° = 45°
∵ 360° ≡ 100%

 ∴ 1° = 100 360

##### Correct Option: D

According to given pie chart in question ,
Corresponding angle for clothing, transportation and entertainment = 18° + 14° + 13° = 45°
∵ 360° ≡ 100%

 ∴ 1° = 100 360

 ∴ 45° ≡ 100 × 45 = 25 = 12.5% 360 2

1. If the total income of Mr. Rao is \$72000, how much house rent does he pay?

1. On the basis of given pie chart in question ,
Corresponding angle for rent = 54°
Total income of Mr. Rao = \$72000
∵ 360° ≡ \$ 72000

 ∴ 1° = 72000 360

##### Correct Option: C

On the basis of given pie chart in question ,
Corresponding angle for rent = 54°
Total income of Mr. Rao = \$72000
∵ 360° ≡ \$ 72000

 ∴ 1° = 72000 360

 ∴ 54° ≡ \$ 72000 × 54 = \$ 10800 360

1. What percent of his income does Mr. Rao save?

1. As per the given pie chart in question ,
Central angle for savings = 108°
∵ 360° ≡ 100%

 ∴ 1° = 100 360

##### Correct Option: B

As per the given pie chart in question ,
Central angle for savings = 108°
∵ 360° ≡ 100%

 ∴ 1° = 100 360

 ∴ 108° ≡ 100 × 108 % = 30% 360

1. The amount spent on food exceeds the total amount spent on education and clothing by

1. According to given pie chart in question ,
Corresponding central angle :-
Food ⇒ 90°
Education + Clothing ⇒ 27 + 18 = 45°
Change in angle = 90° - 45° = 45°

 ∴ Required percent = Change in angle × 100 Corresponding central angle of ( Education + Clothing )

##### Correct Option: E

According to given pie chart in question ,
Corresponding central angle :-
Food ⇒ 90°
Education + Clothing ⇒ 27 + 18 = 45°
Change in angle = 90° - 45° = 45°

 ∴ Required percent = Change in angle × 100 Corresponding central angle of ( Education + Clothing )

 ∴ Required percent = 45° × 100 = 100% 45