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# Worksheet on Questions on Data Interpretation

## Questions of Data Interpretation for Grades 9-12

### Solved Questions of Data Interpretation

I. The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. Study it and answer the question given below it. (1-5)

1. What are the average marks obtained by all seven students in physics? (Round off two digits after decimal)

a) 89.14
b) 74.21
c) 72
d) 69.54

Explanation: 1/7 [(90% of 120) + (80% of 120) + (70% of 120) + (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120)]

= 1/7 [(520% of 120)]

= 627/7 = 89.14

2. Find the number of students who obtained 60% or above marks in all subjects?

a) One
b) Two
c) Three
d) Four

Explanation: From the table, it is clear that C and D have 60% or more marks in each of the six subjects.

3. What was the aggregate of marks obtained by C in all six subjects?

a) 352
b) 396
c) 449
d) 486

Explanation: Aggregate marks obtained by C

= [(90% of 150) + (60% of 130) + (70% of 120) + (70% of 100) + (90% of 60) + (70% of 40)]
= [135 + 78 + 84+ 70 + 54 + 28]
= 449

4. Who has scored the highest marks in Maths?

a) B
b) A
c) D
d) E

Explanation: Aggregate marks obtained by B in maths
= 100% of 150
= 150

5. What is the overall percentage of G in all subjects?

a) 40%
b) 50%
c) 60%
d) 70%

Explanation: Aggregate marks obtained by G

= [(65% of 150) + (35% of 130) + (50% of 120) + (77% of 100) + (80% of 60) + (80% of 40)] = 360
Maximum marks = 600
Overall % = (360/600) x 100
= 60%

### Practice Questions of Data Interpretation

I. The following questions are to be answered on the basis of the pie chart given below. A person’s monthly salary is distributed over different expense heads. (1-5)

1. For a person, whose monthly salary is \$6,000 p.m., how many items are there on which he has to spend more than \$1000 p.m.?

a) 1
b) 2
c) 3
d) 4

2. For the same person, an expenditure of \$1800 p.m. takes place on:

a) Petrol
b) House rent
c) Food
d) Clothes

3. What is the annual savings for such a person will be approximate?

a) \$5,000
b) \$10,000
c) \$15,000
d) \$16,560

4. What would be the monthly salary for a person who follows the same expense pattern but has a petrol expense of \$500 per month?

a) \$2,500
b) \$3,000
c) \$5,000
d) \$6,500

5. Which single item of expense is equal in percentage to the combined amount spent on clothes and savings?

a) Petrol
b) House rent
c) Food
d) Entertainment

II. Study the following graph carefully and answer the questions given below. Rainfall (in cm) in the cities of A and B over the given years. (6-10)

6. What is the ratio of rainfall in the city of A to that in B in the year 2018?

a) 13: 15
b) 15 19
c) 15:17
d) 13: 17

7. Which year showed the maximum rainfall in both cities?

a) 2018
b) 2020
c) 2017
d) 2021

8. What is the average rainfall in the city of A over the years?

a) 30.5 cm
b) 28 cm
c) 35 cm
d) 26 cm

9. The rainfall in the city of B in the year 2017 is approximately, what per cent of the rainfall over the given years in the same city?

a) 13%
b) 17%
c) 20%
d) 25%

10. What is the difference in the rainfall of the two cities in the year 2019?

a) 10 cm
b) 11 cm
c) 18 cm
d) 13 cm

## Quick Video Recap

In this section, you will find interesting and well-explained topic-wise video summary of the topic, perfect for quick revision before your Olympiad exams.

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