## Introduction to Data Interpretation

#### Data Interpretation

Direction: The following pie–chart shows the monthly expenditure of a family on various items. If the family spends \$ 825 on clothing, answer the questions. 1. What is the average of expenses on clothing and rent?

1. On the basis of given pie chart in question ,
Corresponding angle for clothing = 36°
Corresponding angle for rent = 90°
Given that , Total expenditure = \$ 8250

 Expenditure on clothes and rent = 8250 × (36° + 90°) 360°

##### Correct Option: A

On the basis of given pie chart in question ,
Corresponding angle for clothing = 36°
Corresponding angle for rent = 90°
Given that , Total expenditure = \$ 8250

 Expenditure on clothes and rent = 8250 × (36° + 90°) 360°

 Expenditure on clothes and rent = 8250 × 126 = \$ 2887.5 360

 ∴ Average expenditure = 2887.5 = \$ 1443.75 2

1. What is the ratio of expenses on food and miscellaneous?

1. As per the given pie chart in question , we have
Corresponding angle for food = 108°
Corresponding angle for miscellaneous = 72°
Required ratio = Corresponding angle for food : Corresponding angle for miscellaneous

##### Correct Option: C

As per the given pie chart in question , we have
Corresponding angle for food = 108°
Corresponding angle for miscellaneous = 72°
Required ratio = Corresponding angle for food : Corresponding angle for miscellaneous
Required ratio = 108 : 72 = 3 : 2

1. What percent of the total income does the family save?

1. As per the given pie chart in question ,
Corresponding angle for total expenditure = 360°
Percent of total expenditure = 100%
Corresponding angle for savings = 54°
∵ 360° ≡ 100%

 ∴ Required percent = Percent of total expenditure × Corresponding angle for savings Corresponding angle for total expenditure

##### Correct Option: A

As per the given pie chart in question ,
Corresponding angle for total expenditure = 360°
Percent of total expenditure = 100%
Corresponding angle for savings = 54°
∵ 360° ≡ 100%

 ∴ Required percent = Percent of total expenditure × Corresponding angle for savings Corresponding angle for total expenditure

 ∴ Required percent ≡ 100 × 54 = 15% 360

1. What is the total monthly income of the family?

1. On the basis of given pie chart in question ,
Given that , Expenditure on clothes = Rs. 825.
The corresponding angle of total expenditure = 360°
The corresponding angle of expenditure on clothes = 36°
∵ 36° ≡ \$ 825

 ∴ Total monthly income = Expenditure on clothes × The corresponding angle of total expenditure The corresponding angle of expenditure on clothes

##### Correct Option: B

On the basis of given pie chart in question ,
Given that , Expenditure on clothes = Rs. 825.
The corresponding angle of total expenditure = 360°
The corresponding angle of expenditure on clothes = 36°
∵ 36° ≡ \$ 825

 ∴ Total monthly income = Expenditure on clothes × The corresponding angle of total expenditure The corresponding angle of expenditure on clothes

 ∴ Total monthly income = 825 × 360 = & 8250 36

Direction: The Expenditure of a family in a month is represented by a Pie-chart. Read it carefully to answer the questions. 1. If the total amount spent is \$ 7,200, find the amount spent on food :

1. On the basis of given pie chart in question , Corresponding angle for expense on food = 150°
Total expenditure amount = \$ 7200
Corresponding angle for total expenditure = 360°
∵ 360° ≡ \$ 7200

 ∴ Expenditure on food = \$ Total expenditure amount × Corresponding angle for expense on food Corresponding angle for total expenditure

##### Correct Option: D

On the basis of given pie chart in question , Corresponding angle for expense on food = 150°
Total expenditure amount = \$ 7200
Corresponding angle for total expenditure = 360°
∵ 360° ≡ \$ 7200

 ∴ Expenditure on food = \$ Total expenditure amount × Corresponding angle for expense on food Corresponding angle for total expenditure

 ∴ Expenditure on food = 150° ≡ \$ 7200 × 150 = \$ 3000 360