Content Curator
In our day-to-day life, we come across information which can either be represented in the form of text, graph, pie-charts etc. When such information is collected in the context of a situation it is termed as data. In order to draw meaningful conclusions regarding such data, this raw data needs to be represented in any of the following forms and needs to be handled appropriately for drawing inferences on real life situations: Plain Text, Pictograph, Bar graph, Double Bar graph.
Question 1. A coin is flipped in the air. Evaluate the probability of getting a tail.
- 0
- ½
- 1
- 2
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Ans. (b)
Explanation: A coin has two faces- Head and Tail.
When a coin is flipped there are two possibilities of outcome- Head and Tail.
Total number of possible outcomes = 2
If the favourable outcome is tail (T).
Number of favourable outcomes = 1
So, Probability = Number of possible outcomes/ Total number of outcomes
Probability of Tail = ½.
Question 2. A die is thrown in the air, the probability of getting even number is
- ½
- ?
- ?
- ?
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Ans. a
Explanation: A die with six sides consists of the following numbers {1, 2, 3, 4, 5, and 6}.
Total possible outcomes = 6
Total number of even numbers available in a dice = 3 i.e. {2, 4, 6}
Required Probability = 3/6 = 1/2
Question 3. A bag contains 6 red balls and 2 yellow balls. A ball is drawn from the bag randomly. Determine the probability of getting a red ball.
- ¼
- 1/8
- ½
- 0
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Ans. a)
Explanation: The bag contains a total of 4 + 4 = 8 balls
Total number of red balls = 4
Probability of getting a red ball = 4/8 = ½
Question 4. When data is grouped, each of the group is known as
- Collection of data
- Class interval
- Grouped frequency distribution
- Frequency
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Ans. b)
Explanation: In grouped frequency distribution, data is arranged in the form of a class. And the difference between the upper-class limit and lower-class limit is called class interval.
The above bar graph is used to represent the number of books in various subjects. Observe the graph carefully and answer the following questions.
Question 5. Which subject has the maximum number of books?
- Hindi
- English
- Maths
- Science
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Ans. a)
Explanation: Since the height of the bar corresponding to Hindi is the highest.
Question 6. Determine the number of books corresponding to the subject with the maximum number of books?
- 100
- 200
- 300
- 400
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Ans. d)
Explanation: Hindi with a maximum number of 400 books.
Question 7. Which subject has the minimum number of books?
- Social Science
- Hindi
- English
- Science
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Ans. a)
Explanation: Social Science has the minimum books number i.e, 100 books.
Question 8. Which two subjects have the minimum number of books?
- Maths and Hindi
- Hindi and English
- English and Science
- Science and Social Science
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Ans. c)
Explanation: English and Science have a minimum number of 200 books.
Question 9. The difference in the number of books of Hindi and Social Science is
- 200
- 300
- 400
- 100
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Ans. b)
Explanation: 400 – 100 = 300.
Question 10. Determine the total number of books
- 1200
- 1400
- 1600
- 1800
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Ans. a)
Explanation: 300 + 400 + 200 + 200 + 100 = 1200
Question 11. Determine the total number of English and Science books
- 200
- 100
- 400
- 0
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Ans. c)
Explanation: 200 + 200 = 400
Question 12. The following pie-chart shows the expenditure incurred in preparing a book by a publisher. Observe it carefully and answer the following questions.
Question 12 a. Determine the difference in angle showing the expenditure incurred on binding and printing.
- 24 deg
- 48 deg
- 18 deg
- 15 deg
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Ans. c)
Explanation: Binding Sector = 30 %
Printing Sector = 25 %
Difference between the sectors = 5%
Difference of Angle = 5 x 360 / 1000 = 180
Question 12 b. The marked price of a book is Rs 50. Determine the cost of printing to publish a single copy of the book, if its marked price is 25% more than its cost price.
- Rs 6
- Rs 10
- Rs 4.50
- Rs 6.50
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Ans. b)
Explanation: Marked Price of the book = Rs 50
Cost Price of the book = 50 / 1.25 = 40
Cost of printing = 25% of 40 = 0.25×40= Rs 10
Question 12 c. By what percentage, expenditure on binding should be reduced so that its expenditure will be equal to paper expenditure?
- 25%
- 33.33%
- 27%
- 20%
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Ans. b)
Explanation: Binding expenditure on the book = 30%
Paper expenditure on the book = 20%
Percent reduction = (30 - 20) /30 x 100 = 33.33%
Question 12 d. By what percentage, are the binding charges greater than printing charges?
- 25%
- 27%
- 23.5%
- 20%
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Ans. d)
Explanation: Binding expenditure on the book = 30%
Printing expenditure on the book = 25%
Required percentage = 30 - 25 / 25 x 100 = 5 / 25 x 100 = 20%
Question 13 .The following table shows the number of visitors to a park for the months January to March.
| Month | January | February | March |
| Number of visitors | 150 | 300 | 250 |
- Draw a vertical bar chart based on the table values
- What percentage of visitors came in February compared to total number of visitors in the three months
- What is the percentage increase of visitors in the month of March compared to January
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Ans. a)
Explanation: A bar chart is drawn based on the table values with number of visitors represented in the y-axis and month represented in the x-axis.
Ans. b)
Explanation: Percentage visitors in February compared to total number of visitors
300/ (150+300+250) * 100% = 42.86%
Ans. c)
Explanation: Increase in visitors in March compared to January
(250-150)/ 150 * 100% = 66.67%
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