## Introduction to Data Interpretation

#### Data Interpretation

Direction: The graph given here shows the annual premiums of an insurance company, charged for an insurance of \$ 1000 for individuals of different age groups. Study the graph and answer each of the following questions :

1. The annual premium for a managed 26 years for an insurance of \$ 1000 is

1. From the given above graph , we see that the annual premium for a managed 26 years for an insurance of \$ 1000 is \$ 45.7

##### Correct Option: C

From the given above graph , we see that the annual premium for a managed 26 years for an insurance of \$ 1000 is \$ 45.7 .

Direction: The following pie-chart shows the monthly expenditure of a man on various items. If he spends \$ 16,000 per month, answer the following questions.

1. How much more does he spend on rent as compared to education?

1. From the given pie chart in question ,
Corresponding angle for expenses on education = 36°
Corresponding angle for expenses on rent = 81°
Difference between the respective angles for rent and education = 81 – 36 = 45°

##### Correct Option: D

From the given pie chart in question ,
Corresponding angle for expenses on education = 36°
Corresponding angle for expenses on rent = 81°
Difference between the respective angles for rent and education = 81 – 36 = 45°

 ∴ Required answer = \$ 45 × 16000 = \$ 2000 360

1. The amount he spends on education is:

1. From the given pie chart in question ,
Corresponding angle for expenses on education = 36°
∵ 360° ≡ \$ 16000

 ∴ 1° = 16000 360

##### Correct Option: B

From the given pie chart in question ,
Corresponding angle for expenses on education = 36°
∵ 360° ≡ \$ 16000

 ∴ 1° = 16000 360

 ∴ 36° ≡ 16000 × 36 = \$ 1600 360

1. The ratio of expenses on food and rent is :

1. According to given pie chart in question ,
Corresponding angle for food expenditure = 135°
Corresponding angle for rent expenditure = 81°
Required ratio = Corresponding angle for food expenditure : Corresponding angle for rent expenditure

##### Correct Option: A

According to given pie chart in question ,
Corresponding angle for food expenditure = 135°
Corresponding angle for rent expenditure = 81°
Required ratio = Required ratio = Corresponding angle for food expenditure : Corresponding angle for rent expenditure
Required ratio = 135° : 81° = 5 : 3

1. If miscellaneous expenses be x% of the total expense, then value of x is:

1. As per the given pie chart in question ,
Corresponding central angle for miscellaneous expenditure = 108°
∵ 360° ≡ 100%

 ∴ 1° ≡ 100 % 360

##### Correct Option: D

As per the given pie chart in question ,
Corresponding central angle for miscellaneous expenditure = 108°
∵ 360° ≡ 100%

 ∴ 1° ≡ 100 % 360

 ∴ 108° ≡ 108 × 100 = 30% 360