Each of our Ganita Prakash Class 6 Worksheet and Class 6 Maths Chapter 4 Data Handling and Presentation Worksheet with Answers Pdf focuses on conceptual clarity.
Class 6 Maths Chapter 4 Data Handling and Presentation Worksheet with Answers Pdf
Data Handling and Presentation Class 6 Maths Worksheet
Class 6 Maths Chapter 4 Worksheet with Answers – Class 6 Data Handling and Presentation Worksheet
A. Choose the correct option.
Question 1.
A __________ is a collection of numbers gathered to give some information.
(a) frequency
(b) data
(c) tally mark
(d) None of these
Answer:
(b) data
Question 2.
Using tally marks, which one of the following represents the number eight __________
Answer:
(d)
Question 3.
The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below: 5, 1, 2, 6, 5, 8, 5, 0, 1, q, 7, 8, 0, 5, 8, 3, 0, 0, 10, 10, 3, 4, 8, 7, 8, 9, 2, 1 The number of students who obtained marks more than or equal to 6 is
(a) 12
(b) 13
(c) 14
(d) 15
Answer:
(a) 12
Question 4.
In question 3 above, the number of students who scored marks less than 5 is __________
(a) 15
(b) 13
(c) 12
(d) 10
Answer:
(c) 12
Question 5.
A __________ represents data through pictures of objects.
(a) histogram
(b) pictograph
(c) bar graph
(d) None of these
Answer:
(b) pictograph
Question 6.
What is a graph drawn using vertical bars called?
(a) A bar graph
(b) A frequency graph
(c) A pictograph
(d) A line graph
Answer:
(a) A bar graph
Question 7.
A symbol is used to represent 100 flowers. How many symbols are to be drawn to show 900 flowers?
(a) 9
(b) 19
(c) 900
(d) 90
Answer:
(a) 9
Question 8.
If 
=8 eggs, how many eggs does 
represent?
(a) 40
(b) 44
(c) 42
(d) 48
Answer:
(b) 44
Assertion (A) & Reason (R) Questions.
Directions. In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
Question 1.
Assertion (A): In a bar graph width of the rectangles is fixed.
Reason (R): Bar graph represents the data in the form of vertical bars of equal width.
Answer:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Question 2.
Assertion (A): The given table shows the marks obtained (out of 25) in Maths by the students of class 6.
The frequency of marks 23 is 3.
Reason (R): The number of times an observation is repeated is known as the frequency of that observation.
Answer:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B. Fill in the blanks.
1. Each numerical figure in a data is called an __________
Answer:
observation
2. A data is a collection of numbers gathered to give some __________
Answer:
information
3. Data can be arranged in tabular form using __________
Answer:
tally marks
4. The number of times an observation is repeated is known as the __________ of that observation.
Answer:
frequency
5. In a __________, data are represented by pictures.
Answer:
pictograph
C. Solve the following.
Question 1.
Roma and Soma were playing with a die. They threw the die 30 times and noted the number appearing each time as given below:
Prepare a frequency distribution table for the given data.
Also, answer the following questions.
(a) Which number came the most?
_______________________________
(b) Which number came the least?
_______________________________
(c) How many times has the number 6 appeared on the die?
_______________________________
Answer:
(a) 3
(b) 6
(c) 3
Question 2.
An NGO for cows had a surveyed in five nearby villages A, B, C, D, and E and recorded the data about the total number of cows in jive villages are as follows:
Village A: 80; Village B: 120; Village C: 90; Village D: 40; Village E: 60
They were preparing a pictograph of the recorded data. Due to some reason, they couldn’t complete the pictograph.
Complete the pictograph given below by using key:
After completing the pictograph, observe it and answers the following questions,
(a) How many symbols represent cows of village E?
_______________________________
Answer:
6
(b) Which village has the maximum number of cows?
_______________________________
Answer:
B
(c) Which village has more cows village A or village C?
_______________________________
Answer:
C
Question 3.
Sapna’s class teacher gave her an assignment. She has to survey 110 families about the number of family members they have and make a bar graph for the recorded data. Here, she prepared a bar graph as shown below for the data she recorded.
Read the bar graph carefully arid answer the following questions,
(a) How many families have two members?
_______________________________
Answer:
15
(b) How many families have 4 members?
_______________________________
Answer:
40
(c) How many families have maximum number of members?
_______________________________
Answer:
40
(d) How many families have 3 and 5 members in total?
_______________________________
Answer:
45
Question 4.
Seema’s father works in the education sector. He makes a list of his family’s monthly expenditures of every month. Here is a list of the monthly expenditures made by him as shown below:
Represent this data in the form of a bar graph by using a suitable scale.
Question 5.
Sophia is a maths teacher, and she collected data on the colour of cars preferred by the people in her locality as shown below:
She used this data and prepared a bar graph or the board to discuss the data with her students, but someone erased a portion of the graph.
(a) What is the scale she used for this graph?
(b) Is the bar for the white colour car correct in this graph?
If not, how many more units of length are needed to correct the bar.
(c) Are the bars for red and gray colour cars correct in this graph? If not, draw the correct bar(s) by completing the bar graph.
Answer:
(a) Scale: 1 units = 5 people
(b) No, 1 Unit length, i.e., 5 people
(c) No
Math link
India is the world’s second-largest producer of agricultural products. Agriculture is the primary source of income for more than 60% of the population of India. India grows a variety of crops, including food grains, cash crops, plantation crops, and horticulture crops. Rice, wheat, millets, pulses, tea, coffee, sugarcane, oil seeds, cotton, jute, and other crops are the main agricultural products grown in India. The following table shows the area of the land on which different crops were grown.
Prepare a bar graph by choosing a suitable scale.
On World Water Day, Mayarik’s Maths teacher gave him a project on ‘Water Consumption’. In the project, he has to survey his area and collect data about the water consumption by a family in a day.
So, he visited his colony along with his friends Roma and Hemant and collected data about water consumption by the families.
Roma: Mayank! Why are we collecting the information, and how will it help us in our project?
Mayank: The information that we have collected from the families directly is called the primary data. It will help us to understand how much water is required to be used by a family and how much amount of water we can conserve.
Hemant: Any collection of facts, numbers, measures, observations, or other descriptions of things that convey information about those things is called data.
Roma: But how can we get any conclusion from this data?
Mayank: To get a conclusion and for easy interpretation, we organise the collected data.
As we have collected information about the per day estimated water consumption (in litres) from the 60 families as follows:
We cannot interpret and get any conclusion easily from the above information.
Thus, for easy interpretation, we organise the data. To organise the data, we can tabulate the data collected data. We use tally marks to organise the data in tabular form.
Here, the above data has been organised in tabular form using tally marks. In some places, some information is left to be filled in by you. Observe the above data and complete the table by filling in the missing information.
Question 1.
Observe the above table and. answer the following questions:
(a) How many families consume less than 500 litres of water per day?
Answer:
7
(b) How many families consume 500 litres of water per day?
Answer:
11
(c) If 500 litres of water have been allocated by the municipal corporation to a family for per day consumption, then how many families consume more than the allocated amount of water per day?
Answer:
42
(d) How many families consume 600 litres of water per day?
- The number of times an observation is repeated or occurs is called the frequency of that observation.
- When the data is organised in a table using frequency, it is called a frequency table or frequency distribution table.
Answer:
6
Question 2.
A society has organised a fun fair and wants to put up stalls of different food items. The society has surveyed 550 children to know what food items children like to eat:
Look at the table given above and answer tke following questions.
(a) How many children like burgers and Pizza?
Answer:
260
(b) Which is the most liked food item in the given table?
Answer:
Pizza
(c) Which is the least liked food item in the table?
Answer:
Pavbhaji
(d) How many children like momos?
Answer:
100
(e) Which two food items are liked by an equal number of children? And, by how many?
Answer:
Chole bhature and French fries, 75
Question 3.
The shoe sizes of 40 students of class 6 are given below:
5, 4, 5, 4, 7, 6, 7, 4, 5, 6, 7, 5, 4, 7, 5, 4, 5, 4, 6, 6,
6, 6, 5, 4, 7, 6, 4, 7, 6, 5, 6, 6, 6, 4, 7, 5, 7, 6, 5, 4.
Represent the data in the frequency distribution table.
Also, answer the following questions.
(a) Which shoe size is worn by the maximum number of students?
Answer:
6
(b) Which shoe size is worn by the minimum number of students?
Answer:
7
Question 4.
The PT teacher asked Radka, a student of class 6, to collect the data from the students of her class about their choices of Indoor games and to prepare the list for collected data. She prepared a list of indoor games played by all tke students as shown:
Ludo, Carrom, Ludo, Chess, Hide-and-seek, Carrom, Ludo, Carrom, Carrom, Chess, Chess, Ludo, Carrom, Ludo, Carrom, Carrom, Ludo, Chess, Hide-and-seek, Chess, Chess, Ludo, Checker, Chess, Hide-and-seek, Checker, Checker, Chess, Ludo, Chess, Chess, Carrom, Ludo, Hide-and-seek, Checker, Chess, Hide-and-seek.
Represent the data in the frequency distribution table.
Answer the following questions.
(a) Which indoor game is ‘iked by the maximum number of students?
Answer:
Chess
(b) Which indoor game is liked by the minimum number of students?
Answer:
Checker
(c) How many students like to play Ludo?
Answer:
9
Question 5.
The weight (in kg) of 20 students is given below:
40 45 47 50 40 47 42 47 40
48 40 47 48 42 45 50 48 40
Arrange the data in ascending order.
_______________________________
Construct a frequency distribution table (or the given data.
Answer:
40, 40, 40, 40, 40,42,42,42, 45, 45,45,47, 47, 47, 47,48, 48, 48, 50, 50
Project
Collect some Information about your friends/cousins and make a table in the following format on chart paper.
Compare with your bench partner and discuss about the data recorded.
PICTOGRAPHS
A pictorial representation of data is called a pictograph. In a pictograph, the representation of information is done through pictures. It helps answer the questions about the given the data with just a glance.
Question 6.
Roma has collected Information, about the favourite cartoon characters among the children of her society and make a pictograph by choosing a suitable key: 1 (smiley) = 5 students.
Observe the given pictograph and answer the questions given below:
(a) Which cartoon character is liked by the maximum number of children?
_______________________________
Answer:
Jerry
(b) Which cartoon character is liked by the minimum number of children?
_______________________________
Answer:
Goofy
(c) Among Tom and Jerry, which character is more liked than the other?
_______________________________
Answer:
Jerry
(d) How many children like Doraemon?
_______________________________
Answer:
55
(e) How many children participated in this survey?
_______________________________
Answer:
255
Question 7.
The following pictograph shows the number of students in each class of a primary school.
Observe the given pictograph and answer the questions as given below:
(a) Which class has the maximum number of students?
_______________________________
Answer:
Class 1
(b) Which class has the minimum number of students?
_______________________________
Answer:
Class 4
(c) Which two classes have an equal number of students?
_______________________________
Answer:
Class 2 and Class 5
(d) Which class has more than 40 students?
_______________________________
Answer:
Class 1
Drawing a Pictograph
Question 8.
Priya is a head girl in her class. Her class teacher has given her a task to collect data on how many students of the class use different modes of transport to come to the school.
She collected the data and recorded It in a tabular form as follows.
She also created a pictograph to present this collected data by using
But she forgot to complete it. Complete this pictograph by drawing the respective symbol.
Question 9.
The following table shows the number of cars sold In a month by 5 different showrooms. Represent the data by a pictograph.
Question 10.
Jagan Lal is a famous sweet seller (Halwai) at Chandni Chowk. He sells different varieties of sweets In his shop. The table given below shows the amount of different sweets sold by the Jagan Lal halwai on Diwali.
Make the pictograph for the above data by taking a suitable scale.
BAR GRAPHS
A bar graph is the graphical representation of data by using rectangular bars of equal width and varying heights.
In a bar graph, bars of uniform width can be drawn horizontally or vertically with equal spacing between them and the height of each bar represents the given data.
Earlier, Priya, the head girl, had collected data on how many students in her class, that is, of class 6, use different modes of transport to come to the school.
She made a bar graph for the collected data by using suitable scale as given below.
Question 11.
Complete the following statements by using the bar graph given alongside:
(a) 12 students of class 6 come to school by __________
(b) __________ students of class 6 come to school by auto.
(c) __________ is used by the maximum number of students of class.
(d) __________ is used by the minimum number of students of class.
(e) __________ students of class 6 come to school on foot.
Answer:
(a) School bus
(b) 10
(c) School bus
(d) Car
(e) 6
Question 12.
Roma made a bar graph/or the marks obtained by her friends including her marks in the half-yearly maths exam (out of 50) as shown in the given bar graph.
Observe the bar graph and answer the questions:
(a) Who scored the lowest marks among all?
(b) Who scored the highest marks among all?
(c) How many more marks is Urjit required to score equal to Ankit?
(d) Who scored more: Ankit or Soma? By how many marks?
(e) Who scored equal marks and how many?
Answer:
(a) Urjit
(b) Soma
(c) 10 marks
(d) Soma; 20 marks
(e) Ankit and Saumya, 30 marks
Question 13.
Rudra and his friends participated in a race in the inter-school sports carnival. The given bar graph shows the distances (in metres) covered by the six participants including Rudra, in some scheduled time in a sports carnival.
From the above bar graph answer the following questions:
(a) Who won this race?
(b) Who came last?
(c) How much distance was covered by Jacob in the scheduled time?
(d) How much more distance was covered by Imran than Vishal?
Answer:
(a) Imran
(b) Madhav
(c) 450 m
(d) 150 m
Drawing a Bar Graph.
To construct a bar graph, we follow the given steps:
Question 14.
Mohlt Is standing at the window of his room and observing the vehicles passing on the road in front of his house in an hour.
He listed the vehicles that passed across the road in front of his house as shown below:
After that he made a table for the collected data as shown below:
But he also wants to represent the collected data on a bar graph. So, he drew horizontal and vertical lines that are perpendicular to each other. And take a suitable scale, as 1 unit length on vertical lines = 2 vehicles. Help him to complete the bar graph.
Also, answer the following questions:
(a) Which vehicle was passing the most on the road in that duration?
_______________________________
Answer:
Car
(b) Which vehicle was passing the least on the road in that duration?
_______________________________
Answer:
Bus
(c) How many bicycles were pass on the road in that duration?
_______________________________
Answer:
4
Question 15.
RoKit’s EVS teacher taught the class about the benefits of eating vegetables. He also loves to eat green vegetables. He is very curious to know about his classmates that which vegetables they like to eat. So, he prepared a table representing the choice of vegetables his classmates liked to eat as shown below.
Draw a bar graph for the data given by taking a suitable scale.
Project
Take a newspaper, select any page, and list out afew words consisting of 4 to 10 letters. Represent this raw data in a frequency distribution table and draw a bar graph.
INFOGRAPHICS
When data visualisations such as bar graphs are embellished with more extensive artistic and visual imagery, they are called information graphics, or infographics for short.
Question 16.
Here are the sizes of the planets (in miles) in our solar system given in the following table and bargraph.
Make an infographic by using the picture of planets of our solar system.