CBSE Class 3 Maths Data Handling Worksheet

LEARNING OBJECTIVES

This lesson will help you to:—
• collect data from different sources.
• record data using tally marks.
• prepare tables for recording data.
• represent data in terms of pictograph choosing appropriate unit for displaying data.
• represent data in terms of bar charts choosing appropriate scale for displaying data.
• recognize patterns in the data.
• draw conclusions from the data by discussing with teacher.

Real Life Examples
• A pictograph represents data in the form of pictures, objects or parts of objects and helps us to answer questions on the data at a glance.
• Pictographs helps us to represent different types of sales of a store with the help of images, for example, shoe sales, TV sales, phone sales, computer sales, etc.
• A bar graph would allow you to display population of several different countries at one time.
• Data Handling is widely in collection of scores of students in various exams and marking ranks to the students.

ORGANIZATION OF DATA
Once we have some information/data, the next step is to get results from it. This can be done by arranging it.
To make sense of the gathered information. It has to be organised and put into tables. We can make tables by using a picture for each. Such an arrangement is called as pictograph.

Example of a pictograph
Number of people with their favourite fruit can be shown using chart as given below:

Number of students with their favorite ice cream can be shown using a bar chart as given below:

• When the number for each category is quite large, drawing picture is not easy. To solve this problem we draw bars to represent numbers. These bars are called as Tally Marks.
Tally marks are used to represent numbers in the following way

When tally marks are made, the first four marks are made like this ||||. Then the fifth marks is made across the diagonal of four marks ||||. This makes it easy to count the marks

Historical preview
• Pictograph was the earliest form of writing. It was also the first alphabet. Pictograph lasted from about 3000 B.C. to about the 18th century.
• Most ancient people wrote pictograph on stone or clay with a stylus made out of long “reeds or wood, or bone with a narrow, rectangular head.”
• William Playfair invented bar charts in 1786.

DO YOU KNOW
Data handling means to collect and record the information and then present it in the tabular form.

Amazing Facts
• All the following facts are a result of data handling process :
1. Thomas Alva Edison pertented almost 1300 inventions in his life time.
2. It takes 6 months to build a Rolls Royce and 13 hours to build a Toyota.
3. Pictograph sometimes is also called as pictogram

DATA HANDLING PROCESS/CYCLE
1. Specify the problem : Ask a question or questions
2. Plan : Decide what data to collect, who to collect it from and how it will be collected.
3. Process and Representations : Reduce the data to summarize information and represent them using tables, charts, bar graphs, pictographs, etc.
4. Interpret and discuss : Interpret and analyse the tables and charts to draw conclusions.

Misconcept/ Concept

Misconcept : Tally mark to represent 5 is ||||| .

Concept : Tally mark to represent 5 is ||||.

Misconcept : A picture of an object shown in a pictograph represents one object only.

Concept : A picture of an object shown in a pictograph does not always represents one object only.

POINTS TO REMEMBER:-
1. Read the data carefully as the smallest detail may change the meaning of the whole data collected.
For example, if you are collecting data about number of students who like chocolates, ice cream or vanilla ice creams and a student says he does not like vanilla ice cream, then that does not mean he likes chocolate ice cream.
2. Record the data in tabular forms because tables help to understand the data in a better way.
3. Try to understand the data provided carefully before jumping to answer the questions.
4. Relate the data given in table with charts and graphs and draw them to have a better understanding of it.
5. Be very careful of the units used in the tables.
For example, height of students in centimetres or feet.
6. Take care of the scale used in charts and graphs.
For example, 1 picture of cup = 10 cups of tea, etc.
Example: What numbers are being represented by
following tally marks
(a) |||| | (b) |||| ||||
Solution: (a) It represents 5 + 1 = 6
(b) It represents 5 + 5 = 10

Representation of a data
When we represent a data by tally marks or pictograph, then it is easier to understand and analyze the data. We can immediately draw conclusions from such a data. So processing of data is very essential in analyzing it.

 

Direction (Qs. 1 to 5): Damodar collects wastes from the houses. He collects all kinds of waste thrown in dustbin. He made a list of items that was collected from houses in a locality as given below :

1. How many papers were collected by Damodar ?
(a) 8
(b) 12
(c) 13
(d) 14
Answer : (D) 14 papers were collected by Damodar.
Therefore, answer is option (d) 14.

2. Which item was least in numbers ?
(a) Aluminium Cans
(b) Plastic
(c) Glass
(d) Card-board
Answer : (C) Since, Damodar collected 3 glasses which is least among all.
Therefore, answer is option (c) Glass.

3. How many less card-board were collected than plastic ?
(a) 5
(b) 6
(c) 7
(d) 8
Answer : A

4. Which item was 7 in total ?
(a) Card-board
(b) Aluminium Cans
(c) Plastic
(d) Glass
Answer : (B) 7 aluminium cans were collected.
Therefore, answer is option (b) Aluminium Cans.

5. How many more paper were collected than aluminium cans?
(a) 6
(b) 7
(c) 8
(d) 9
Answer : B

Direction (Qs. 6 to 8): Ice candy house is a shop full of ice candies. The shopkeeper sold many ice candies this week as shown in the table given below. Read the table carefully and answer the questions that follow :

6. If Monday : 3 : : ? : 8 (Mental Mathematics)
(a) Friday
(b) Saturday
(c) Monday
(d) Thursday
Answer : A

7. If Saturday : |||| ||:: Thursday : ? (Mental Mathematics)
(a) |||| ||
(b) |||| |||
(c) |||| |||| |
(d) ||||
Answer : C

8. If |||| : Tuesday : : |||| ||| : ? (Mental Mathematics)
(a) Saturday
(b) Sunday
(c) Tuesday
(d) Friday.
Answer : D

Direction (Qs. 9 to 11): Read the conversation given below and answer the questions that follow :
Teacher : How many times do you brush in a day ?
Pappu : Two times in a day.
Teacher : But you have only one brush in your hand that means
you brush only one time in a day.
Pappu : I forget to bring the second brush.
Teacher : Are you telling the truth ?

9. How many times the word ‘brush’ occurred in the above conversation ?
(a) 2
(b) 3
(c) 4
(d) 5
Answer : (C) The word ‘brush’ occurred 4 times.
Therefore, the answer is option (c) 4.

10. How many times the word ‘day’ occurred in the above conversation ?
(a) 2
(b) 3
(c) 4
(d) 5
Answer : (B) The word ‘day’ occurred 3 times .
Therefore, the answer is option (b) 3.

11. How many times the word ‘you’ occurred in the above conversation ?
(a) 2
(b) 3
(c) 4
(d) 5
Answer : (C) The word ‘you’ occurred 4 times.
Therefore, the answer is option (c) 4.

Direction (Qs. 12 to 16): Mr. Bee collected some flowers to make a bouquet. He made a list of flower is used in the bouquet as given below :

12. How many Daisies he used ?
(a) 4
(b) 5
(c) 6
(d) 7
Answer : B

13. How many Roses he used ?
(a) 6
(b) 7
(c) 8
(d) 9
Answer : C

14. Which flower was used the most times ?
(a) Rose
(b) Sunflower
(c) Lily
(d) Daisy
Answer : 

15. Which flower was used 6 times ?
(a) Carnations
(b) Daisy
(c) Rose
(d) Sunflower
Answer : C

16. Which flower was used least times ?
(a) Daisy
(b) Lily
(c) Rose
(d) Sunflower
Answer : D

17. The picture graph below shows the number of pencils that 5 boys have.

If there are total 120 pencils, then Ali has pencils.
(a) 21
(b) 33
(c) 43
(d) 34
Answer : (B) Ali has = 120 – 3 × 29 = 120 – 87 = 33 pencils.

18. Study the following pictograph and find which animal is the least in number?

(a) Cow
(b) Cat
(c) Rat
(d) Duck
Answer : (B) Cat is least in number which is 3.

19. 

Total number of books read by Makoto and Elestina together is:
(a) 14
(b) 11
(c) 10
(d) 15
Answer : (B) Number of books read by make to and Elestina = 5 + 6 = 11

Directions: (Qs. 20 to 23): Look at the following pictograph and answer the following questions.

20. How many children choose the beach house vacation?
(a) 20
(b) 10
(c) 40
(d) 90
Answer : (C) Number of children choose the beach house = 4 × 10 = 40

21. Number of children who choose road trip is equal to number of children who choose:
(a) Camping
(b) Beach house
(c) Amusement park
(d) River boating
Answer : B

22. Difference in the number of children who chooose big city and who choose River boating is:
(a) 10
(b) 40
(c) 20
(d) 0
Answer : A

23. Maximum number of children chosen
(a) Beach house
(b) Camping
(c) River boating
(d) Road trip
Answer : B

24. What is the total number of buffaloes in the given map?

(a) 1000
(b) 3000
(c) 2000
(d) 6000
Answer : B

25. At a parking, a board shows the following information:

What is the strength of the parking place?
(a) 4000
(b) 5000
(c) 6000
(d) 9000
Answer : A

26. Following are the information which is obtained during the survey. Scale:

What is the difference between the mobile and bike susers?
(a) 1500
(b) 2500
(c) 1000
(d) 100
Answer : A

27. The information which is printed on the board outside the cinema hall is

= 20 chairs. Sitting arrangement inside the cinema hall is as follows: 
Rows Number of chair

How many chairs are there in the cinema hall?
(a) 170
(b) 220
(c) 180
(d) 185
Answer : C

28. The following figure is the map of a village. If scale is 1 tree = 145 trees, how many trees are there in the village?

(a) 560
(b) 540
(c) 580
(d) 590
Answer : C

Please click on below link to download CBSE Class 3 Maths Data Handling Worksheet