CLass 6 QUESTION BANK Chapter 4: Data Handling and Presentation
Section A: Multiple Choice Questions (MCQs) [1 Mark Each]
1. Any collection of facts, numbers, or measures that convey information is called:
a) Information b) Data c) Frequency d) Graph (Competency: Recall and Identification)
2. In a tally mark system, how is the number 5 represented?
a) |||| b) |||| | c) 
d) | | | | | (Competency: Recall and Identification)
3. The number of times a particular observation occurs is called its:
a) Data b) Tally c) Frequency d) Scale (Competency: Recall and Identification)
4. A pictograph showing favourite games. If 🙂= 2 students, and Cricket has 4 such symbols, how many students chose Cricket?
a) 2 b) 4 c) 6 d) 8 (Competency: Interpretation of Data)
5. In a bar graph, the ___________ of the bar represents its value.
a) Width b) Colour c) Length/Height d) Border (Competency: Understanding Concepts)
6. What must every pictograph have to be understood correctly?
a) A title b) A scale/key c) Colourful pictures d) Both (a) and (b) (Competency: Understanding Concepts)
7. For the data: 4, 5, 3, 4, 3, 4, 5, 5, 4, when arranged in ascending order, the middle value is:
a) 3 b) 4 c) 5 d) 4.5 (Competency: Data Organisation)
8. If a bar graph uses a scale where 1 cm = 10 students, a bar that is 4.5 cm long represents:
a) 4 students b) 45 students c) 40 students d) 5 students (Competency: Interpretation & Calculation)
9. Which of these is NOT a step in drawing a bar graph?
a) Drawing bars of different widths b) Choosing a suitable scale c) Labeling the axes d) Giving a title
(Competency: Understanding Concepts)
10. Which mode of travel is used by the least number of students?
a) Private Car b) Cycle c) Public Bus d) School Bus (Competency: Interpretation of Data)
10a Which mode of travel is used by the most number of students?
11. Shri Nilesh's tally table shows Gulab Jamun was chosen by 9 students. How is this represented in tally marks?
a) b) | | | |
c) |||
d) |||| |
(Competency: Application of Tally Marks)
12. The difference between the highest and lowest values in a data set is called the:
a) Frequency b) Mean c) Range ) Scale
(Competency: Understanding Concepts)
13. A bar graph is most useful for:
a) Showing the exact value of each data point b) Showing trends over time
c) Comparing sizes of different categories d) Calculating the total frequency
(Competency: Critical Thinking)
14. If you wanted to show the growth of a plant every day for a month, the best way to represent this data would be a: a) Pictograph b) Bar Graph C) Tally Table d) Pie Chart
(Competency: Critical Thinking)
15. In a frequency distribution table, the sum of all frequencies should be equal to:
a) The highest value b) The lowest value c) The total number of observations d) The number of categories
(Competency: Interpretation & Calculation)
16. CBQ: Case Based (The Sweet Shop): Shri Nilesh asked his students about their sweet preference. The frequency table is below:
i. Which sweet is the most popular?
a) Jalebi b) Gulab Jamun c) Gujiya d) Rasgulla (Competency: Interpretation of Data)
ii. How many more students prefer Gujiya than Barfi?
a) 10 b) 13 c) 3 d) 16 (Competency: Interpretation & Calculation)
iii. The total number of students in the class is:
a) 38 b) 35 c) 40 d) 28 (Competency: Interpretation & Calculation)
iv. If one symbol 🍬 represents 2 students in a pictograph, how many symbols are needed for Gulab Jamun?
a) 4 b) 4.5 c) 5 d) 9 (Competency: Interpretation & Calculation)
17. CBQ: Case Based (Library Books): The pictograph shows books borrowed from the library in a week (🟫= 5 books).
Monday: 🟫🟫🟫🟫
Tuesday: 🟫🟫🟫🟫🟫
Wednesday: 🟫🟫🟫
Thursday: 🟫🟫🟫🟫
Friday: 🟫🟫🟫🟫🟫
Saturday: 🟫🟫🟫🟫🟫🟫
i. On which day were the most books borrowed?
a) Tuesday b) Friday c) Saturday d) Monday (Competency: Interpretation of Data)
ii. How many books were borrowed on Wednesday?
a) 3 b) 5 c) 15 d) 10 (Competency: Interpretation & Calculation)
iii. The difference in books borrowed between Tuesday and Wednesday is:
a) 5 books b) 10 books c) 15 books d) 20 books
(Competency: Interpretation & Calculation)
iv. The total number of books borrowed in the week is:
a) 120 b) 125 c) 130 d) 135
(Competency: Interpretation & Calculation)
18. A survey of 120 students was conducted. If 45 preferred Playing, what angle would this represent in a pie chart?
a) 45° b) 90° c) 135° d) 180° (Competency: Critical Thinking / Beyond the Chapter)
19. In a bar graph, the scale is 1 unit = 20 people. How many units tall should the bar be for a value of 150 people?
a) 7 b) 7.5 c) 15 d) 150 (Competency: Application of Scale)
20. The primary purpose of a key in a pictograph is to:
a) Make it look colourful b) Explain what each symbol represents
c) List the titles of the categories d) Count the total frequency
(Competency: Understanding Concepts)
Section B: Assertion (A) and Reason (R) [1 Mark Each]
Directions: Choose the correct option:
a) Both A and R are true, and R is the correct explanation of A.
b) Both A and R are true, but R is NOT the correct explanation of A.
c) A is true but R is false.
d) A is false but R is true.
1. Assertion (A): Data must always be organised before it can be understood.
Reason (R): Organising data helps in quick analysis and finding patterns.
(Competency: Critical Thinking)
2. Assertion (A): In a bar graph, all bars must have the same width.
Reason (R): Different widths would make the graph misleading when comparing values.
(Competency: Understanding Concepts)
3. Assertion (A): A half-filled symbol in a pictograph is sometimes used.
Reason (R): This happens when the frequency is not a multiple of the scale value.
(Competency: Interpretation of Data)
4. Assertion (A): Tally marks are an efficient way to count frequencies as you collect data.
Reason (R): It is easier to count groups of five than to count many individual | marks.
(Competency: Application of Tally Marks)
5. Assertion (A): A bar graph for population over years should always start the vertical axis from 0.
Reason (R): Starting from a higher number can exaggerate small differences and mislead viewers.
(Competency: Critical Thinking)
6. Assertion (A): A frequency table is more detailed than a bar graph.
Reason (R): A frequency table shows exact values, while a bar graph gives a visual comparison.
(Competency: Critical Thinking)
7. Assertion (A): Infographics are always better than simple bar graphs.
Reason (R): Fancy graphics can sometimes distort the data and be misleading.
(Competency: Critical Thinking)
8. Assertion (A): The range of the data 10, 5, 12, 20, 5 is 15.
Reason (R): Range is calculated as Highest Value - Lowest Value (20 - 5 = 15).
(Competency: Interpretation & Calculation)
9. Assertion (A): For data with very large values (like India's population), we must use a scale.
Reason (R): Using a scale of 1 unit = 1 person would make the graph impossible to draw on paper.
(Competency: Understanding Concepts)
10. Assertion (A): The mode of a data set is the observation with the highest frequency.
Reason (R): In the data set {3, 4, 4, 5, 3, 4, 2}, the mode is 4.
(Competency: Interpretation of Data)
Section C: True or False [1 Mark Each]
1. Data is always made up of only numbers. (False) (Competency: Recall and Identification)
2. Arranging data in ascending or descending order can make it easier to find the highest and lowest values. (True) (Competency: Data Organisation)
3. In a pictograph, one symbol can only represent one object. (False) (Competency: Understanding Concepts)
4. The title of a graph is optional. (False) (Competency: Understanding Concepts)
5. A bar graph drawn with horizontal bars is called a column graph. (False) (Competency: Recall and Identification)
6. The total number of students who chose Jalebi and Rasgulla in Shri Nilesh's class is 13. (True) [6 + 7 = 13]
(Competency: Interpretation & Calculation)
7. If a bar representing 50 people is 5 cm long, the scale is 1 cm = 5 people. (False) [Scale is 1 cm = 10 people] (Competency: Application of Scale)
8. Tally marks for the number 7 are ||. (True) (Competency: Application of Tally Marks)
9. The main goal of data presentation is to make information harder to understand. (False) (Competency: Critical Thinking)
10. You can create a bar graph without knowing the frequency of each category. (False) (Competency: Understanding Concepts)
Section D: Short Answer Type-I (2 Marks Each)
1. Define data. Give one example from your daily life. Competency: Recall and Identification)
2. The favourite fruits of 15 students are: Apple, Banana, Orange, Apple, Banana, Apple, Orange, Banana, Apple, Apple, Banana, Orange, Apple, Banana, Apple. Make a frequency distribution table for this data.
(Competency: Data Organisation)
3. The number of trees planted by a school on 5 days are: 15, 20, 10, 15, 25. What is the range of this data? (Range = Highest value - lowest Value)
(Competency: Interpretation & Calculation)
4. Look at Shri Nilesh's incomplete tally table. If Gujiya was chosen by 13 students and Rasgulla by 7, how would you represent this using tally marks in the table?
How many students chose jalebi?
• Barfi was chosen ___by students?
• How many students chose gujiya?
• Rasgulla was chosen by _____students?
(Competency: Application of Tally Marks)
5. If 🪁= 10 kites, how would you represent 350 kites in a pictograph?
(Competency: Interpretation of Data)
6. What is the scale of a graph? Why is it important? (Competency: Understanding Concepts)
7. List the two main types of graphical representations covered in this chapter.
(Competency: Recall and Identification)
8. What is the key difference between a pictograph and a bar graph? (Competency: Critical Thinking)
9. The weights (in kg) of 5 students are: 28, 32, 30, 28, 35. Arrange the data in ascending order and write the frequency of 28 kg. (Competency: Data Organisation)
10. If a bar graph has a scale of 1 unit length = 5 students, how long will the bar be for a frequency of 18 students? (Competency: Application of Scale)
11. Sushri Sandhya asked her students about the sizes of the shoes they wearShe noted the data on the board — She then arranged the shoe sizes of the students in ascending order —3,3,3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5,5,5,5,5,5,5,5,5,6, 6, 6, 6, 7
The largest shoe size in the class is
• The smallest shoe size in the class is
• There are students who wear shoe size
• There are students who wear shoe sizes larger than 4
How did arranging the data in ascending order help to answer these questions?
Are there other ways to arrange the data?
Section E: Short Answer Type-II (3 Marks Each)
1. The number of cars sold in a week are: Monday-5, Tuesday-7, Wednesday-4, Thursday-9, Friday-12, Saturday-15. Represent this data using a pictograph of your choice (choose a suitable symbol and scale).
(Competency: Construction of Graphs)
2. Draw a bar graph for the following data of students' favourite subjects:
3. The following pictograph shows the number of trees in different villages (🟩= 20 Trees).
Village A: 🟩🟩🟩
Village B: 🟩🟩🟩🟩🟩
Village C: 🟩🟩
Village D: 🟩🟩🟩🟩
(i) Which village has the most trees? (ii) How many trees does Village D have? (iii) What is the total number of trees in all four villages? (Competency: Interpretation & Calculation)
4. (Number of students absent). Answer the following:
(i) Which class had no absences?
(ii) How many students were absent in Class VIII?
(iii) Find the total number of absent students that day.
In Class 2, __students were absent that day
2. In which class were the maximum number of students absent?
3. Which class had full attendance that day?
(Competency: Interpretation of Data)
5. Collect data on the number of family members of 10 of your classmates. Organize this data in a frequency distribution table using tally marks. Write one observation you can make from the table.
(Competency: Data Collection & Organisation)
Section F: Long Answer Type (5 Marks Each)
1. A survey was conducted to find the type of music people liked. The results are:
(a) How many people were surveyed?
(b) Which music type is the most popular?
(c) Represent the data in a bar graph. Choose a suitable scale.
(Competency: Construction of Graphs & Interpretation)
2.study the bar graph "Vehicular Traffic at a Crossing"
(a) Which hour has the least traffic? How many vehicles passed?
(b) Which hour has the maximum traffic? How many vehicles passed?
(c) Calculate the total number of vehicles that passed between 9 am and 12 noon.
(d) Suggest a reason for the high traffic between 7-8 am.
1. How many total cars passed through the crossing between 6 am and noon?
2. Why do you think so little traffic occurred during the hour of 6–7 am, as compared to the other hours from 7 am-noon? 3.Why do you think the traffic was the heaviest between 7 am and 8 am?
4. Why do you think the traffic was lesser and lesser each hour after 8am all the way until noon(Competency: Interpretation & Calculation, Critical Thinking)
3. Roll a die 25 times. Record your observations. Make a frequency table using tally marks. Find:
(i) The number that appeared the most./ The maximum number of times (ii) The number that appeared the least. Or The minimum number of times
(iii) The range of the data (6 - 1 = 5, but calculate based on your min/max).
(iv) Find numbers that appeared an equal number of times
(Competency: Data Collection, Organisation, & Analysis)
4. Samantha visited a tea garden and collected data of the insects and critters she saw thereHere is the data she collected. Help her prepare a bar graph representing this data
(Competency: Data Collection, Organisation)
5. The number of goals scored by a football team in 10 matches is: 2, 3, 4, 5, 0, 1, 3, 3, 4, 2.
(i) Arrange the data in ascending order. (ii) Prepare a frequency table.
(iii) What is the range of the data? (iv) What is the most common number of goals scored?
(Competency: Data Organisation & Analysis)
6. A survey of 120 school students was conducted to find out which activity they preferred to do in their free time. Draw a bar graph to illustrate the above data taking the scale of 1 unit length studentsWhich activity is preferred b y most students other than playing?
Section G: Case-Based Questions (4 MCQs each) [1 Mark Each MCQ]
CBQ 1: The Tree Plantation Drive
Students of Class VI-A planted saplings in their school garden. The number of saplings they planted each day is shown in the bar graph below.
i. On which day were the most saplings planted? (Competency: Interpretation of Data)
The total number of saplings planted on Wednesday and Thursday is ___ (Competency: Interpretation & Calculation)
iii. The difference in saplings planted between Tuesday and Saturday is: _________ (Competency: Interpretation & Calculation)
b The total number of saplings planted during the whole week is ____(Competency: Interpretation & Calculation)
c The greatest number of saplings were planted on and the least number of saplings were planted on Why do you think that is the case? Why were more saplings planted on certain days of the week and less on others? Can you think of possible explanations or reasons? How could you try and figure out whether your explanations are correct? (Competency: Interpretation & Calculation)
2. The number of girl students in each class of a school is depicted by a pictograph. Observe this pictograph and answer the following questions
2.1 Which class has the least number of girl students?
a) Class 1 b) Class 4 c) Class 8 d) Class 5
2.2 What is the difference between the number of girls in Class 5 and Class 6?
a) 4 girls b) 6 girls c) 8 girls d) 10 girls
2.3 If 2 more girls were admitted in Class 2, how would the graph change?
a) One more full symbol will be added b) Half symbol will be added
c) Quarter symbol will be added d) No change
2.4 How many girls are there in Class 7?
a) 8 girls b) 10 girls c) 12 girls d) 14 girls
3.Naresh and Navya decided to go to each student in the class and ask what their favourite game isThen they prepared a list:
What would you do to find the most popular game among Naresh’s and Navya’s classmates?
2 . What is the most popular game in their class?
4.Magan Bhai sells kites at Jamnagar. Six shopkeepers from nearby villages come to purchase kites from him. The number of kites he sold to these six shopkeepers are given below
Prepare a pictograph using the symbol to represent 100 kites . Answer the following questions
How many symbols represent the kites that Rani purchased?
Who purchased the maximum number of kites?
Who purchased more kites, jasmeet or Chaman?
Rukhsana says Poonam Ben purchased more than double the number of kites that Rani purchased. Is she correct? Why?
5. The following pictograph shows the number of books borrowed by students, in a week, from the library of Middle School, Ginnori —
Which day were the minimum number of books borrowed?
b What was the total number of books borrowed during the week?
c on which day were the maximum number of books borrowed? What may be the possible reason?
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