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All questions of Data Handling and Presentation for Class 6 Exam

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as given below.
8, 1, 2, 6, 5, 5, 5, 0.1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than Or equal to 5 is
  • a)
    13
  • b)
    15
  • c)
    17
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
Given marks:
8, 1, 2, 6, 5, 5, 5, 0.1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 3, 4, 8, 7, 8, 9, 2, 0
Marks greater than or equal to 5:
8, 6, 5, 5, 5, 9, 7, 8, 5, 8, 8, 10, 8, 7, 8, 9
Count of marks greater than or equal to 5:
There are 16 students who obtained marks greater than or equal to 5.
The correct answer is (d) 16.

The frequency of 2 in the data 1, 1, 2, 2, 3, 3, 4, 4, 2, 2, 3, is ______ .
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    6
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
In the given data: 1, 1, 2, 2, 3, 3, 4, 4, 2, 2, 3
The number 2 appears 4 times.
So, the frequency of 2 is: 4

What does the width of a bar in a bar graph represent?
  • a)
    Nothing Specific
  • b)
    The frequency of the data
  • c)
    The number of observations
  • d)
    The time period
Correct answer is option 'A'. Can you explain this answer?

Understanding Bar Graphs
Bar graphs are commonly used to display and compare data visually. They consist of rectangular bars, where the length or height of each bar represents a specific value related to the data being analyzed. However, the width of the bars in a bar graph does not convey any specific information.
What the Width Represents
- Nothing Specific: The width of a bar in a bar graph is generally uniform and does not represent any quantitative measure. It serves mainly aesthetic purposes or for clarity in distinguishing between different categories. Therefore, it does not provide meaningful information about the data itself.
Key Characteristics of Bar Graphs
- Frequency Representation: The height or length of the bar indicates the frequency or number of observations for each category, not the width.
- Categories Comparison: Bar graphs are effective for comparing different categories or groups within a dataset, relying on the height of the bars rather than their width.
- Uniform Width: In most cases, all bars in a bar graph have the same width to maintain consistency and ensure that comparisons between categories are clear.
Conclusion
In summary, while the height of the bars provides essential information about the data, the width has no specific significance. Therefore, the correct answer to the question is indeed option 'A': Nothing Specific. Understanding this helps in interpreting bar graphs correctly and utilizing them effectively in data representation.

In the data 18, 13, 15, 13, 18, 14, 15, 13, 14, 15, how many times the number '15' repeats itself?
  • a)
    2
  • b)
    1
  • c)
    3
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?

Vp Classes answered
The number '15' repeats 3 times in the given data: 18, 13, 15, 13, 18, 14, 15, 13, 14, 15.
So, the correct answer is: C: 3

Representation of data in tabular form is done by using _______ .
  • a)
    Bar graph
  • b)
    Frequency
  • c)
    Tally marks
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Praveen Kumar answered
To answer the question "Representation of data in tabular form is done by using _______", we can follow these steps:
Understanding the Question: The question asks for the method used to represent data in a tabular format. We need to identify the correct term from the options provided.
Analyzing Each Option:
Bar graph: This is a graphical representation of data, not specifically a tabular form.
Frequency: This refers to the number of times a particular value occurs, but it is not a method of representation itself.
Tally marks: This is a method used to count and represent data in a simple and organized way, often used in tables.
None of these: This option implies that none of the above methods are correct.
Identifying the Correct Answer: Since tally marks are commonly used to represent data in a tabular format, we conclude that the correct answer is tally marks.
Representation of data in tabular form is done by using tally marks.

In a pictograph, each symbol represents 4 apples. If there are 3 symbols next to Tuesday, how many apples were sold on Tuesday?
  • a)
    7
  • b)
    8
  • c)
    10
  • d)
    12
Correct answer is option 'D'. Can you explain this answer?

Palak Nambiar answered
Understanding the Pictograph
In a pictograph, each symbol represents a specific quantity. In this case, each symbol stands for 4 apples.
Symbols and Their Meaning
- Number of Symbols for Tuesday: 3 symbols are displayed next to Tuesday.
- Value of Each Symbol: Each symbol represents 4 apples.
Calculating Total Apples Sold on Tuesday
To find out how many apples were sold on Tuesday, we need to multiply the number of symbols by the value each symbol represents:
- Calculation:
- Number of symbols: 3
- Value per symbol: 4 apples
- Total apples sold = Number of symbols × Value per symbol
- Total apples sold = 3 symbols × 4 apples/symbol = 12 apples
Conclusion
Thus, the total number of apples sold on Tuesday is 12. Therefore, the correct answer is option 'D'.
This clear breakdown helps in understanding how to interpret pictographs effectively, especially when looking at how many items are represented by symbols.

The choices of the sweets of 10 students in a batch are as follows: 
Jalebi, Kaju Katli, Kalakand, Kaju Katli, Kheer, Barfi,
Rasgulla, Kaju Katli, Kheer, Kaju Katli
Q. The sweet preferred by the most of the students is
  • a)
    Jalebi
  • b)
    Rasgulla
  • c)
    Kaju Katli
  • d)
    Kheer
Correct answer is option 'C'. Can you explain this answer?

Tanishq Khanna answered
Understanding the Choices of Sweets
In this scenario, we have the sweet preferences of 10 students. Let's examine the choices closely to determine which sweet was preferred the most.
List of Sweets Chosen
- Jalebi
- Kaju Katli
- Kalakand
- Kaju Katli
- Kheer
- Barfi
- Rasgulla
- Kaju Katli
- Kheer
- Kaju Katli
Counting the Preferences
Now, let’s tally the number of times each sweet was chosen:
- Jalebi: 1 time
- Kaju Katli: 4 times
- Kalakand: 1 time
- Kheer: 2 times
- Barfi: 1 time
- Rasgulla: 1 time
Identifying the Most Popular Sweet
From the counts, we can see:
- Kaju Katli was chosen 4 times, which is the most compared to the others.
- Kheer was chosen 2 times.
- All other sweets were chosen only once.
Conclusion
The sweet preferred by the most students is clearly Kaju Katli, with a total of 4 votes. Therefore, the correct answer is option C: Kaju Katli. This indicates a strong preference for Kaju Katli among the students in this batch.

Direction: Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries.

Q. Which country played maximum number of matches?
  • a)
    Australia
  • b)
    Pakistan
  • c)
    England
  • d)
    India
Correct answer is option 'A'. Can you explain this answer?

Coachify answered
To determine which country played the maximum number of one-day international matches, we analyze the given bar graph carefully. The graph shows the number of matches played by each country's cricket team:
  • India: 30 matches
  • Pakistan: 24 matches
  • West Indies: 18 matches
  • England: 30 matches
  • South Africa: 12 matches
  • Australia: 32 matches
  • Sri Lanka: 24 matches
From the data, it is evident that Australia has played the highest number of matches, which is 32.
Answer: Australia

Direction: Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries.

Q. How many more matches were played by India than Pakistan? IF India Played 30 and Pkaistan played 24
  • a)
    6
  • b)
    12
  • c)
    24
  • d)
    30
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
The number of more matches played by India than Pakistan = Number of matches played by India - Number of matches played by Pakistan
⇒ The number of more matches played by India than Pakistan = 30 - 24
⇒ The number of more matches played by India than Pakistan = 6 matches
Hence, India played 6 matches more than Pakistan.
Hence, the correct option is A.

Observe the following bar graph and answer the related question:

Which political party won the maximum number of seats?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D.
Correct answer is option 'A'. Can you explain this answer?

Praveen Kumar answered
From the graph:
  • Party A has the highest number of seats (more than 40).
  • Party B has a lower number than Party A.
  • Party C also has fewer seats than Party A.
  • Party D has fewer seats than Party A.
  • Party E has the fewest seats.
∴ The political party that won the maximum number of seats is A.
So, the correct answer is (a) A.

Directions For Questions: The following pictograph shows the number of scooters sold by a company during a week. Study the pictograph carefully and answer the questions given below.

On which day of the week was the sale of the scooters was maximum?
  • a)
    Monday
  • b)
    Friday
  • c)
    Tuesday
  • d)
    Saturday
Correct answer is option 'B'. Can you explain this answer?

Praveen Kumar answered
Given: One scooter = 6 scooters
So total sold scooters = (Number of scooters) × 6
  • Monday = 5 × 6 = 30
  • Tuesday = 4 × 6 = 24
  • Wednesday = 3 × 6 = 18
  • Thursday = 5 × 6 = 30
  • Friday = 7 × 6 = 42
  • Saturday = 2 × 6 = 12
Hence, maximum scooters were sold on Friday.
Answer: B

If  represents 5 eggs how many eggs does represent?
  • a)
    4
  • b)
    16
  • c)
    20
  • d)
    25
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
If  represents 5 eggs, then represents 4 times 5 eggs.
So, = 4 × 5 = 20 eggs.
The correct answer is: C) 20

The given graph shows the marks scored by a student in his class test. Read the graph shown and answer the questions:

Highest marks are scored in ______ .
  • a)
    English
  • b)
    Hindi
  • c)
    Maths
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Marks in English (from graph) = 15
Marks in Hindi (from graph) = 10
Marks in Maths (from graph) = 30
Marks in Science (from graph) = 20
Marks in S.St (from graph) = 25
Highest Mark are scored in Maths (30)

The following bar graph shows the number of members in each family of a colony.
The number of families having 3 members is
  • a)
    25
  • b)
    30
  • c)
    35
  • d)
    40
Correct answer is option 'D'. Can you explain this answer?

Dr Manju Sen answered
The bar corresponding to 3 members reaches the height of 40 on the y-axis.
Thus, the number of families having 3 members is 40.
Therefore, the correct answer is (d) 40.

Direction: Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries.

Q. Ratio of the number of matches played by India to the number of matches played by Sri Lanka is
  • a)
    5 : 4
  • b)
    4 : 3
  • c)
    7 : 6 
  • d)
    4 : 5
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
From the bar graph, the number of matches played by India is 30, and the number of matches played by Sri Lanka is 24.
Ratio of matches played by India to Sri Lanka = 30 : 24.
Simplifying this ratio by dividing both terms by 6, we get 5 : 4.
Therefore, the correct ratio is 5 : 4.

Navya collected data on the favorite games of her classmates and found that 8 students prefer cricket, 5 prefer hockey, and 3 prefer football. What type of chart would best represent this data visually?
  • a)
    Pictograph
  • b)
    Line Graph
  • c)
    Bar Graph
  • d)
    Pie Chart
Correct answer is option 'C'. Can you explain this answer?

Coders Trust answered
To show the favorite games of Navya's classmates, a bar graph is the best choice. Here’s why:
  • A bar graph uses bars to represent different categories, making it easy to compare the number of students who like each game.
  • Each bar can show the number of students for cricket, hockey, and football clearly.
  • This type of graph is simple to read and understand for everyone.
Other options, like a pictograph or pie chart, may not show the comparison as clearly as a bar graph does.

The line plot below shows how students scored on last week's maths test. 
Key: Each  = 1 student
Q. How many students scored 95 or higher on the test? 
  • a)
    5
  • b)
    7
  • c)
    12
  • d)
    16
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 6 answered
It is given that 1 star represents 1 student.
Number of students getting 95 marks = 7
Number of students getting 100 marks = 5
Therefore, the number of students getting 95 or above marks = 5 + 7 = 12 students

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