CBSE Class 6 Maths Chapter 4 Data Handling and Representation Important Questions

1. What is raw data?

Ans: Raw data is the data collected in its original form without being organised.

2. Define frequency in the context of data handling.

Ans: Frequency refers to the number of times a particular data value occurs.

3. What is a tally mark?

Ans: Tally marks are a way of recording and counting frequencies using vertical lines in groups of five.

4. Which graph is used to represent numerical data using bars?

Ans: A bar graph.

5. What is the first step in organizing data?

Ans: Collecting and recording the data.

6. What is the importance of data handling in daily life?

Ans: Data handling helps in organizing and interpreting information for better decision-making, such as analyzing survey results or tracking expenses.

7. Samantha visited a tea garden and collected data on the insects and critters she saw there. Here is the data she collected-

Help her prepare a bar graph representing this data.

Ans: 

8. Find the range of the data: 8, 12, 5, 15, 10.

Ans: Range = Highest value - Lowest value = 15 - 5 = 10.

9. Explain how pictographs are used to represent data.

Ans: A pictograph uses pictures or symbols to represent data, where each picture corresponds to a specific number.

10. What is a line plot?

Ans: A line plot is a graph that displays data along a number line using Xs or dots to show frequencies.

11. Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah in his last 30 matches:

(a) What information is this table giving?

(b) What may be the title of this table?

(c) What caught your attention in this table?

(d) In how many matches has Burnrah taken 4 wickets?

(e) Mayank says “If we want to know the total number of wickets he has taken in his last 30 matches, we have to add the numbers 0, 1, 2, 3,……..up to 7.” Can Mayank get the total number of wickets taken in this way? Why?

(f) How would you correctly figure out the total number of wickets taken by Bumrah in his last 30 matches, using this table?

Ans: (a) The information in the table gives an overview of the number of matches in which he took wickets from 0 to 7.

(b) Frequency distribution table indicating the bowling performance of Jaspreet Bumrah.

(c) Bumrah has taken 3 or more wickets in most of the matches.

(d) Three matches

(e) No

(f) He can get the correct total, by adding the following points.

(2 × 0) + (4 × 1) + (6 × 2) + (8 × 3) + (3 × 4) + (5 × 5) + (1 × 6) + (1 × 7)

= 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7

= 90

12. Mudhol Hounds (a type of breed of Indian dogs) are largely found in North Karnataka’s Bagalkote and Vijaypura districts. The government took the initiative to protect this breed by providing support to those who adopted these dogs. Due to this initiative, the number of these dogs increased. The number of Mudhol dogs in six villages of Karnataka is as follows-

Village A: 18, Village B: 36, Village C: 12, Village D: 48, Village E: 18, Village F: 24

Prepare a pictograph and answer the following questions:

(a) What will be a useful scale or key to draw this pictograph?

(b) How many symbols will you use to represent the dogs in Village B?

(c) Kamini said that the number of dogs in Village B and Village D together will be more than the number of dogs in the other 4 villages. Is she right? Give reasons for your response.

Ans: 

(a) 1 * = 6 dogs will be a useful scale or key to draw this pictograph.

(b) 6 symbols.

(c) Yes, because Total no. of dogs in villages B and D = 6 + 8 = 14 dogs = 14 × 6 = 84 dogs

Total no. of dogs in remaining 4 villages = 3 + 2 + 3 + 4 = 12 dogs = 12 × 6 = 72 dogs

13. Calculate the mean of the following data:

Data: 6, 8, 10, 5, 7.

Ans:       Mean = (Sum of all data values) ÷ (Number of values) = (6 + 8 + 10 + 5 + 7) ÷ 5 = 36 ÷ 5 = 7.2.

14. Explain the differences between a bar graph and a histogram.

Ans:

15. The number of female students in each class of a school is depicted by a pictograph:

Observe this pictograph and answer the following questions:

(a) Which class has the least number of girl students?

(b) What is the difference between the number of girls in Classes 5 and 6?

(c) If 2 more girls were admitted in Class 2, how would the graph change?

(d) How many girls are there in Class 7?

Ans: (a) Class 8

(b) Number of Girls in class 6 = 4 × 4 = 16

Number of Girls in class 5 = 4 × 3.5 = 14

Hence difference = 16 – 14 = 2

(c) Five full symbols of a girl

(d) 3 × 4 = 12 girls.

16. China listed the various means of transport that passed across the road in front of his house from 9 am to 10 am:

(a) Prepare a frequency distribution table for the data.

(b) Which means of transport was used the most?

(c) If you were there to collect this data, how could you do it? Write the steps or process.

Ans: 

(a) 

(b) Bike

(c) Only like this

17. Roll a die 30 times and record the number you obtain each time. Prepare a frequency distribution table using tally marks. Find the number that appeared:

(a) The minimum number of times.

(b) The maximum number of times.

(c) Find numbers that appeared an equal number of times.

Ans: Let the outcomes of 30 times roll of a die be

6, 2, 3, 5, 6, 4, 1, 1, 2, 5

3, 4, 1, 1, 3, 5, 2, 2, 1, 1

6, 2, 3, 5, 1, 2, 2, 3, 4, 2

(a) 4 and 6

(b) 2

(c) 4 and 6

18. Find the mode of the data:

Data: 3, 7, 7, 10, 10, 10, 15, 15.

Ans: Mode = The number that appears most frequently = 10.

Conclusion

Data Handling helps us make sense of information by organising it in a way that's easy to understand. Whether it's tally marks, bar graphs, or pictographs, each method teaches us how to collect, organise, and present data effectively. This chapter lays the foundation for understanding real-life situations, like analysing survey results or tracking scores in sports. Once you learn these basics, you'll find it easier to understand advanced data concepts in higher classes. So, practice well and have fun visualising data! 

Important Study Materials for Class 6 Maths Chapter 4 Data Handling and Representation

CBSE Class 6 Maths Chapter-wise Important Questions

CBSE Class 6 Maths Chapter-wise Important Questions and Answers include topics from all chapters. They help students prepare well by focusing on important areas, making revision easier.

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