NCERT Solutions Class 6 Maths Chapter 4 Data Handling and Processing Exercise 4.4

Exercise 4.4 from Chapter 4 - Data Handling and Processing - will help you understand the concept of getting the average from the numbers. This exercise will help to understand the concept of arithmetic mean simply and is a first sum you will do with average.

The exercises are based on all the important topics to follow the latest NCERT syllabus for Class 6. Each topic has been compiled so that it is easy and fun to learn. Practicing this exercise will also improve your calculation skills. It is also excellent preparation for questions in CBSE school exams or Maths Olympiad questions.

NCERT Solutions provides you step by step answers to help you achieve the correct solutions for easy understanding. You can download the free PDF for revision and practice at your own pace.

1.0Download NCERT Solutions Class 6 Maths Chapter 4 Data Handling and Processing Exercise 4.4: Free PDF

Exercise 4.4 teaches the simple method for calculating the average of given numbers to increase your basic calculation skills and your understanding of data. These NCERT Solutions for Class 6 Maths Chapter 4 provides clear explanations step by step. You can download the free PDF from below and begin your practice:

2.0NCERT Solutions Class 6 Chapter 4 Data Handling and Processing: All Exercises

3.0NCERT Class 6 Maths Chapter 4 Data Handling and Processing Exercise 4.4: Detailed Solutions

• Samantha visited a tea garden and collected data of the insects and critters she saw there. Here is the data she collected-
  
  Help her prepare a bar graph representing this data. Sol.
  
• Pooja collected data on the number of tickets sold at the Bhopal railway station for a few different cities of Madhya Pradesh over a 2-hour period.

She used this data and prepared a bar graph on the board to discuss the data with her students, but someone erased a portion of the graph.

(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.

Sol. (a)

I will use a tally chart or counting app to record the type of transport passing by during that hour.

Categorisation

I will organise the data into categories (e.g., bike, car, scooter, bus, etc.).

Final Count

After the observation period, I will get the total number of occurrences for each category.

Analysis

Finally, I will prepare a frequency distribution table based on the recorded data for analysis.

• 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. Sol. 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. The minimum number of times: 4 and 6 b. The maximum number of times: 2 c. The numbers that appeared an equal number of times: 4 and 6 . This is an activity. So, you can also perform it yourself and prepare 9 frequency table.
• 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 Bumrah 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 $0,1,2,3\dots$, 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? Sol. (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. $\begin{array}{rl}& (2\times 0)+(4\times 1)+(6\times 2)+(8\times 3)+(3\times 4)+(5\times 5)+(1\times 6)+(1\times 7)\\ & =0+4+12+24+12+25+6+7=90\end{array}$

• The following pictograph shows the number of tractors in five different villages.
  
  Observe the pictograph and answer the following questions- a. Which village has the smallest number of tractors? b. Which village has the most tractors? c. How many more tractors does Village C have than Village B? d. Komal says, "Village D has half the number of tractors as Village E." Is she right? Sol. a. Village D b. Village C c. 3 more tractors d. Yes
• The number of girl 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 Class 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? Sol. (a) Class 8 (b) Number of Girls in class $6=4\times 4=16$ Number of Girls in class $5=4\times 2.5=10$ Hence difference $=16-10=6$ (c) Five full symbols of a girl (d) $3\times 4=12$ girls.
• Mudhol Hounds (a type of breed of Indian dogs) are largely found in North Karnataka's Bagalkote and Vijaypura districts. The government took an 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 are 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. Sol.

(a) * $=6$ 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 $=6+8=14$ Symbols $=14\times 6=84$ dogs Total no. of dogs in remaining 4 villages $=3+2+3+4=12$ Symbols $=12\times 6=72$ dogs

• 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 $=5$ students. Which activity is preferred by most students other than playing? Sol.

• Students and teachers of a primary school decided to plant tree saplings in the school campus and in the surrounding village during the first week of July. Details of the saplings they planted are as follows-
  
  a. The total number of saplings planted on Wednesday and Thursday is . b. The total number of saplings planted during the whole week is . 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? Sol. (a) $30+40=70$ saplings (b) $52+40+30+40+50+60+40=312$ saplings (c) Saturday, Wednesday.
• The number of tigers in India went down drastically between 1900 and 1970. Project Tiger was launched in 1973 to track and protect tigers in India. Starting in 2006, the exact number of tigers in India was tracked. Shagufta and Divya looked up information about the number of tigers in India between 2006 and 2022 in 4-year intervals. They prepared a frequency table for this data and a bar graph to present this data, but there are a few mistakes in the graph. Can you find those mistakes and fix them?

• No. of tigers in 2006 was 1400 but shown less in the graph.
• No. of tigers in 2014 was 2200 but shown more in the graph.
• No. of tigers in 2018 was 3000 but shown less in the graph.

4.0Key Features and benefits for Class 6 Maths Chapter 4 Exercise 4.4

• The exercise presents the meaning of average by relating the topic to simple numbers and actual scenarios.
• It helps understand the way to find the arithmetic mean
• All questions are in-line with the NCERT syllabus and CBSE Class 6 curriculum.
• As students practice the NCERT solutions, it will also assist in their accuracy and good understanding of questions based on average.
• It will develop problem-solving skills that may be helpful in school exams and preparation for Maths Olympiad.
• Regular practice also improves your basic calculation of skills.