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All questions of Data Handling and Presentation for Class 6 Exam

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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

Question is based on this table and pictograph which show the number of government employees in some places.
Which of the following is the correct representation of the number of employees in Z?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Ishan Choudhury answered
Here, X place has 4800 employees, and they are represneted by 8 images. 
Therefore 1 image = 4800 / 8 = 600
Number of employees at Z = 2400
Number of symbols needed to represent Z = 2400 / 600 = 4

A library recorded the number of books borrowed in a week:
  • Monday - 25 books
  • Tuesday - 30 books
  • Wednesday - 28 books
  • Thursday - 35 books
  • Friday - 40 books
On which day were the least books borrowed? How many more books were borrowed on Friday than on Monday?
  • a)
    Wednesday, 12 more
  • b)
    Tuesday, 10 more
  • c)
    Monday, 15 more
  • d)
    Monday, 10 more
Correct answer is option 'C'. Can you explain this answer?

Alok Chavan answered
Overview of Borrowed Books
In a week, the library recorded the number of books borrowed on each day:
- Monday: 25 books
- Tuesday: 30 books
- Wednesday: 28 books
- Thursday: 35 books
- Friday: 40 books
Identifying the Day with the Least Books Borrowed
To find the day with the least books borrowed, we compare the numbers:
- Monday: 25
- Tuesday: 30
- Wednesday: 28
- Thursday: 35
- Friday: 40
From this comparison, we see that Monday has the least number of books borrowed, with 25 books.
Calculating the Difference Between Friday and Monday
Next, we need to determine how many more books were borrowed on Friday compared to Monday:
- Books borrowed on Friday: 40
- Books borrowed on Monday: 25
To find the difference, we subtract the number of books borrowed on Monday from the number borrowed on Friday:
- 40 (Friday) - 25 (Monday) = 15
Thus, 15 more books were borrowed on Friday than on Monday.
Conclusion
The correct answer is option C:
- Monday had the least books borrowed, and 15 more books were borrowed on Friday compared to Monday.

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

A shopkeeper recorded the number of pencils sold in a week:
Monday - 12
Tuesday - 15
Wednesday - 10
Thursday - 18
Friday - 20
On which day were the most pencils sold? How many more pencils were sold on Friday than on Wednesday?
  • a)
    Thursday, 8 more
  • b)
    Friday, 12 more
  • c)
    Tuesday, 5 more
  • d)
    Friday, 10 more
Correct answer is option 'D'. Can you explain this answer?

Priyanka Mukherjee answered
Analysis of Pencil Sales
The shopkeeper recorded the number of pencils sold on each day of the week. Let's summarize the sales:
- Monday: 12 pencils
- Tuesday: 15 pencils
- Wednesday: 10 pencils
- Thursday: 18 pencils
- Friday: 20 pencils
Identifying the Day with Maximum Sales
To determine on which day the most pencils were sold, we compare the sales figures:
- Monday: 12
- Tuesday: 15
- Wednesday: 10
- Thursday: 18
- Friday: 20
From the comparison, it's clear that:
- Friday had the highest sales of 20 pencils.
Calculating the Difference Between Friday and Wednesday Sales
Next, we need to find out how many more pencils were sold on Friday than on Wednesday:
- Sales on Friday: 20 pencils
- Sales on Wednesday: 10 pencils
To find the difference, we subtract Wednesday's sales from Friday's sales:
- Difference = Sales on Friday - Sales on Wednesday
- Difference = 20 - 10 = 10 pencils
Conclusion
Thus, the correct answer is option 'D': Friday, 10 more. This means that on Friday, 10 more pencils were sold compared to Wednesday.

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?

Shiksha Academy answered
  1. Pictograph
    • A pictograph uses symbols or images to represent data, with each symbol representing a certain number of items.
    • For Navya’s data, each image (e.g., a bat for cricket or a football) could represent 1 student or a group of students. This type of chart works well for younger audiences or when there are simple, small numbers.
    • However, it can be time-consuming to create symbols for each category and is less precise for comparison, especially with smaller differences in data.
  2. Line Graph
    • A line graph displays data points connected by lines, typically used to show changes over time.
    • Since Navya’s data is categorical (different sports), a line graph would not be suitable here because it’s designed for data that shows trends or progression (like data over months or years).
  3. Bar Graph
    • A bar graph uses bars of varying lengths to represent different categories, making it effective for comparing quantities across categories.
    • For Navya’s data, each game would have a bar with a height that represents the number of students who prefer that game. It’s simple and effective for comparing discrete categories like cricket, hockey, and football.
  4. Pie Chart
    • A pie chart divides a circle into slices to represent parts of a whole, which can show proportions effectively.
    • For Navya’s data, each game would have a slice representing the percentage of students who prefer it. While it could work here, pie charts are most effective when there are a few large categories or when the focus is on understanding proportions rather than direct comparisons.
Conclusion: While a pie chart or pictograph could work, the bar graph is the most straightforward and effective choice for comparing these categorical preferences directly.

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?

Rajeev Kumar answered
Understanding Data Representation
In the context of data representation, it is essential to understand how different methods convey information. The question asks about the correct representation of data in tabular form, and the answer is "C) Tally marks". Here's why:
What are Tally Marks?
- Tally marks are a simple and effective way to represent data visually.
- They use vertical lines to count items, making it easy to see the quantity at a glance.
Why Tally Marks are Suitable for Tabular Representation?
- Simplicity: Tally marks provide a straightforward method for counting and categorizing data.
- Visual Clarity: The arrangement of tally marks allows for easy comparison between different categories.
- Quick Count: Every five tally marks can be grouped in a particular way (four vertical lines and one diagonal) for quick counting.
Comparison with Other Options
- Bar Graph (Option A): This is a graphical representation, not a tabular one. While effective, it does not represent data in a table format.
- Frequency (Option B): This term refers to the number of occurrences of a particular value but does not represent data by itself.
- None of These (Option D): This option implies that none of the provided choices represent data in tabular form, which is incorrect.
Conclusion
In summary, tally marks serve as an excellent method for representing data in a tabular format, making them the correct answer to the question. They provide clarity, simplicity, and ease of counting, making data interpretation straightforward for learners.

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 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.

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.

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.

A class conducted a survey on their favorite fruit. The results were:
Apples - 8 students
Bananas - 12 students
Mangoes - 15 students
Grapes - 10 students
Which fruit was the most popular? How many more students liked mangoes than apples?
  • a)
    Grapes, 5 more
  • b)
    Mangoes, 7 more
  • c)
    Bananas, 4 more 
  • d)
    Mangoes, 6 more
Correct answer is option 'B'. Can you explain this answer?

Shiksha Academy answered
The most popular fruit among the surveyed students is Mangoes, with a total of 15 students preferring them. The comparison of preferences is as follows:
  • Apples: 8 students
  • Bananas: 12 students
  • Grapes: 10 students
  • Mangoes: 15 students
To find out how many more students liked mangoes than apples:
  • Mangoes: 15 students
  • Apples: 8 students
  • Difference: 15 - 8 = 7 more
Thus, the answer is that mangoes were preferred by 7 more students than apples.

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?

Vp Classes answered
The width of a bar in a bar graph does not represent any specific value. Instead, it is the length or height of the bar that indicates the frequency or quantity of the data being represented.
Key points to understand:
  • The width of the bars is typically uniform across the graph.
  • It is the length or height that shows the data's frequency or amount.
  • Uniform spacing between bars indicates they represent distinct categories.
In summary, while the width is consistent, it is the bar's length or height that conveys the essential information in a bar graph.

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

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?

Shiksha Academy answered
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)

Chapter doubts & questions for Data Handling and Presentation - Mathematics for Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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