# NCERT solutions for Mathematics Exemplar Class 6 chapter 5 - Data Handling [Latest edition]

## Chapter 5: Data Handling

Exercise
Exercise [Pages 72 - 87]

### NCERT solutions for Mathematics Exemplar Class 6 Chapter 5 Data Handling Exercise [Pages 72 - 87]

#### Choose the correct alternative:

Exercise | Q 1 | Page 72

Using tally marks, which one of the following represents the number eight:

•

• cancel(bb|bb|bb|) cancel(bb|bb|bb|)

• cancel(bb|bb|bb|bb|bb|) ||

• cancel(bb|bb|bb|bb|) |||

Exercise | Q 2 | Page 72

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below:
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than or equal to 5 is ______.

• 13

• 15

• 16

• 17

Exercise | Q 3 | Page 72

In question 2 above, the number of students who scored marks less than 4 is ______.

• 15

• 13

• 12

• 10

Exercise | Q 4 | Page 72

The choices of the fruits of 42 students in a class are as follows:
A, O, B, M, A, G, B, G,  A, G, B, M, A, G, M, A, B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B, M, O, M, G, B, A, M, O, M, O, where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively. Which two fruits are liked by an equal number of students?

• A and M

• M and B

• B and O

• B and G

Exercise | Q 5 | Page 73

According to data of question 4, which fruit is liked by most of the students?

• O

• G

• M

• A

#### State whether the following is True or False:

Exercise | Q 6 | Page 73

In a bar graph, the width of bars may be unequal.

• True

• False

Exercise | Q 7 | Page 73

In a bar graph, bars of uniform width are drawn vertically only.

• True

• False

Exercise | Q 8 | Page 73

In a bar graph, the gap between two consecutive bars may not be the same.

• True

• False

Exercise | Q 9 | Page 73

In a bar graph, each bar (rectangle) represents only one value of the numerical data.

• True

• False

Exercise | Q 10 | Page 73

To represent the population of different towns using bar graph, it is convenient to take one unit length to represent one person.

• True

• False

Exercise | Q 11 | Page 73

Pictographs and bar graphs are pictorial representations of the numerical data.

• True

• False

Exercise | Q 12 | Page 73

An observation occurring five times in a data is recorded as | | | | |, using tally marks.

• True

• False

Exercise | Q 13 | Page 73

In a pictograph, if a symbol   represents 50 books in a library shelf, then the symbol   represents 25 books.

• True

• False

#### Fill in the blank:

Exercise | Q 14 | Page 73

A ______ is a collection of numbers gathered to give some meaningful information.

Exercise | Q 15 | Page 73

The data can be arranged in a tabular form using ______ marks.

Exercise | Q 16 | Page 73

A ______ represents data through pictures of objects.

Exercise | Q 17 | Page 74

In a bar graph, ______ can be drawn horizontally or vertically.

Exercise | Q 18 | Page 74

In a bar graph, bars of ______ width can be drawn horizontally or vertically with ______ spacing between them.

Exercise | Q 19 | Page 74

An observation occurring seven times in a data is represented as ______ using tally marks.

Exercise | Q 20 | Page 74

In a pictograph, if a symbol   represents 20 flowers in a basket then  stands for ______ flowers.

Exercise | Q 21 | Page 74

On the scale of 1 unit length = 10 crore, the bar of length 6 units will represent ______ crore and of ______ units will represent 75 crore.

Exercise | Q 22 | Page 74

In an examination, the grades achieved by 30 students of a class are given below. Arrange these grades in a table using tally marks:

B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B, E, A, D, C, B, E, C, B, E, C, D

Exercise | Q 23 | Page 74

The number of two wheelers owned individually by each of 50 families are listed below. Make a table using tally marks.

1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1
Find the number of families having two or more, two wheelers.

Exercise | Q 24 | Page 74

The lengths in centimetres (to the nearest centimetre) of 30 carrots are given as follows:
15, 22, 21, 20, 22,15, 15, 20, 20,15, 20, 18, 20, 22, 21,
20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20, 15, 21, 18, 20
Arrange the data given above in a table using tally marks and answer the following questions.
(a) What is the number of carrots which have length more than 20 cm?
(b) Which length of the carrots occur maximum number of times? Minimum number of times?

Exercise | Q 25 | Page 75

Thirty students were interviewed to find out what they want to be in future. Their responses are listed as below:
doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer
Arrange the data in a table using tally marks.

Exercise | Q 26 | Page 75

Following are the choices of games of 40 students of Class VI:
football, cricket, football, kho-kho, hockey, cricket, hockey, kho-kho, tennis, tennis, cricket, football, football, hockey, kho-kho, football, cricket, tennis, football, hockey, kho-kho, football, cricket, cricket, football, hockey, kho-kho, tennis, football, hockey, cricket, football, hockey, cricket, football, kho-kho, football, cricket, hockey, football.
(a) Arrange the choices of games in a table using tally marks.
(b) Which game is liked by most of the students?
(c) Which game is liked by minimum number of students?

Exercise | Q 27 | Page 75

Fill in the blanks in the following table which represents shirt size of 40 students of a school.

 Shirt size Tally Marks Number of students 30 ||| ______ 3 32 cancel(bb|bb|bb|bb|) ______ 34 ______ 8 36 cancel(bb|bb|bb|bb|) || ______ 38 cancel(bb|bb|bb|bb|) ______ 10 40 ______ 7
Exercise | Q 28 | Page 76

Following pictograph represents some surnames of people listed in the telephone directory of a city

 Surname Number of people  = 100 people Khan Patel Rao Roy Saikia Singh

Observe the pictograph and answer the following questions:
(a) How many people have surname ‘Roy’?
(b) Which surname appears the maximum number of times in the telephone directory?
(c) Which surname appears the least number of times in the directory?
(d) Which two surnames appear an equal number of times?

Exercise | Q 29 | Page 76

Students of Class VI in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows:

 Material used Articles  = 20 articles Wood Glass Metal Rubber Plastic

Observe the pictograph and answer the following questions:
(a) Which material is used in maximum number of articles?
(b) Which material is used in minimum number of articles?
(c) Which material is used in exactly half the number of articles as those made up of metal?
(d) What is the total number of articles counted by the students?

Exercise | Q 30 | Page 77

The number of scouts in a school is depicted by the following pictograph:

 Class Number of scouts  = 10 scouts VI VII VIII IX X

Observe the pictograph and answer the following questions:
(a) Which class has the minimum number of scouts?
(b) Which class has the maximum number of scouts?
(c) How many scouts are there in Class VI?
(d) Which class has exactly four times the scouts as that of Class X?
(e) What is the total number of scouts in the Classes VI to X?

Exercise | Q 31 | Page 78

A survey was carried out in a certain school to find out the popular school subjects among students of Classes VI to VIII. The data in this regard is displayed as pictograph given below:

 Subject Number of Students   = 50 students Hindi English Mathematics Science Social Studies

(a) Which subject is most popular among the students?
(b) How many students like Mathematics?
(c) Find the number of students who like subjects other than Mathematics and Science.

Exercise | Q 32 | Page 79

The following pictograph depicts the information about the areas in sq km (to nearest hundred) of some districts of Chhattisgarh State:

 District Area (in km2)   = 1000 sq km Raigarh Rajnandgaon Koria Mahasamund Kabirdham Jashpur

(a) What is the area of Koria district?
(b) Which two districts have the same area?
(c) How many districts have area more than 5000 square kilometres?

Exercise | Q 33 | Page 79

The number of bottles of cold drinks sold by a shopkeeper on six consecutive days is as follows:

 Day Sunday Monday Tuesday Wednesday Thursday Friday Number of bottles 350 200 300 250 100 150

Prepare a pictograph of the data using one symbol to represent 50 bottles.

Exercise | Q 34 | Page 79

The following table gives information about the circulation of newspapers (dailies) in a town in five languages.

 Language English Hindi Tamil Punjabi Gujarati Number ofnewspapers 5000 8500 500 2500 1000

Prepare a pictograph of the above data, using a symbol of your choice, each representing 1000 newspapers.

Exercise | Q 35 | Page 80

Annual expenditure of a company in the year 2007-2008 is given below:

 Items Expenditure (Rs in lakh) Salaries of employees 65 Advertisement 10 Purchase of machiner 85 Electricity and water 15 Transportation 25 Other expenses 30

Prepare a pictograph of the above data using an appropriate symbol to represent Rs 10 lakh.

Exercise | Q 36 | Page 80

The following bar graph shows the number of houses (out of 100) in a town using different types of fuels for cooking.

Scale: 1 unit length = 5 houses

(a) Which fuel is used in maximum number of houses?
(b) How many houses are using coal as fuel?
(c) Suppose that the total number of houses in the town is 1 lakh.
From the above graph estimate the number of houses using electricity.

Exercise | Q 37 | Page 81

The following bar graph represents the data for different sizes of shoes worn by the students in a school. Read the graph and answer the following questions.

Scale: 1 unit length = 50 students

(a) Find the number of students whose shoe sizes have been collected.
(b) What is the number of students wearing shoe size 6?
(c) What are the different sizes of the shoes worn by the students?
(d) Which shoe size is worn by the maximum number of students?
(e) Which shoe size is worn by minimum number of students?
(f) State whether true or false:
The total number of students wearing shoe sizes 5 and 8 is the same as the number of students wearing shoe size 6.

Exercise | Q 38 | Page 81

The following graph gives the information about the number of railway tickets sold for different cities on a railway ticket counter between 6.00 am to 10.00 am. Read the bar graph and answer the following questions.

Scale: 1 unit length = 10 tickets

(a) How many tickets were sold in all?
(b) For which city were the maximum number of tickets sold?
(c) For which city were the minimum number of tickets sold?
(d) Name the cities for which the number of tickets sold is more than 20
(e) Fill in the blanks: Number of tickets sold for Delhi and Jaipur together exceeds the total number of tickets sold for Patna and Chennai by ______.

Exercise | Q 39 | Page 82

The bar graph given below represents approximate length (in kilometres) of some National Highways in India. Study the bar graph and answer the following questions:

Scale: 1 unit length = 200 km

(a) Which National Highway (N.H.) is the longest among the above?
(b) Which National Highway is the shortest among the above?
(c) What is the length of National Highway 9?
(d) Length of which National Highway is about three times the National Highway10?

Exercise | Q 40 | Page 82

The bar graph given below represents the circulation of newspapers in different languages in a town. Study the bar graph and answer the following questions:

Scale: 1 unit length = 200 Newspapers

(a) What is the circulation of English newspaper?
(b) Name the two languages in which circulation of newspaper is the same.
(c) By how much is the circulation of newspaper in Hindi more than the newspaper in Bengali?

Exercise | Q 41 | Page 83

Scale: 1 unit = 50 students

(a) What information is given by the bar graph?
(b) In which year is the number of students maximum?
(c) In which year is the number of students twice as that of 2001 – 02?
(d) In which year did the number of students decrease as compared to previous year?
(e) In which year is the increase in number of students maximum as compared to the previous year?

Exercise | Q 42 | Page 84

The lengths in km (rounded to nearest hundred) of some major rivers of India is given below

 River Length (in km) Narmada 1300 Mahanadi 900 Brahmputra 2900 Ganga 2500 Kaveri 800 Krishna 1300

Draw a bar graph to represent the above information.

Exercise | Q 43 | Page 84

The number of ATMs of different banks in a city is shown below:

 Bank Number of ATMs Syndicate Bank 5 Dena Bank 15 Indian Bank 20 State Bank of India 25 Vijaya Bank 10

Draw a bar graph to represent the above information by choosing the scale of your choice.

Exercise | Q 44 | Page 84

Number of mobile phone users in various age groups in a city is listed below:

 Age group (in years) Number of mobile users 1 – 20 25000 21 – 40 40000 41 – 50 35000 61 – 80 10000

Draw a bar graph to represent the above information.

Exercise | Q 45 | Page 85

The following table gives the number of vehicles passing through a toll gate, every hour from 8.00 am. to 1.00 pm:

 Time Interval 8.00 to 9.00 9.00 to 10.00 10.00 to 11.00 11.00 to 12.00 12.00 to 1.00 Number of vehicles 250 450 300 250 150

Draw a bar graph representing the above data.

Exercise | Q 46 | Page 85

The following table represents income of a Gram Panchayat from different sources in a particular year:

 Sources Income (in Rs.) Income from local taxes 75000 Funds received from government 150000 Donations 25000 Income from other resources 50000

Draw a bar graph to represent the above information.

Exercise | Q 47 | Page 85

The following table gives the data of number of schools (stage-wise) of a country in the year 2002.

 Stage Number of schools (in thousands) Primary 80 Upper Primary 55 Secondary 30 Higher Secondary 20

Draw a bar graph to represent the above data:

Exercise | Q 48 | Page 86

Home appliances sold by a shop in one month are given as below:

 Home appliance Number of home appliances Refrigerator 75 Television 45 Washing Machine 30 Cooler 60 DVD Player 30

Draw a bar graph to represent the above information.

Exercise | Q 49 | Page 86

In a botanical garden, the number of different types of plants are found as follows:

 Type of the plants Number of plants Herb 50 Shrub 60 Creeper 20 Climber 45 Tree 95

Draw a bar graph to represent the above information and answer the following questions:
(a) Which type of plant is maximum in number in the garden?
(b) Which type of plant is minimum in number in the garden?

Exercise | Q 50 | Page 86

Prepare a bar graph of the data given in

 Surname Number of people  = 100 people Khan Patel Rao Roy Saikia Singh
Exercise | Q 51 | Page 86

Scale: 1 unit length = 200 km

Prepare a pictograph of the data by taking a suitable symbol to represent 200 kilometers.

Exercise | Q 52 | Page 86

Prepare a pictograph of the information given in

Scale: 1 unit length = 10 tickets

Exercise | Q 53 | Page 86
 Number of two wheelers Tally marks Number of families 0 ||| 3 1 cancel(|bb|bb|bb|) cancel(|bb|bb|bb|) cancel(|bb|bb|bb|) cancel(|bb|bb|bb|) cancel(|bb|bb|bb|) ||| 28 2 cancel(|bb|bb|bb|) cancel(|bb|bb|bb|) |||| 14 3 |||| 4 4 | 1 Total 50

Prepare a bar graph of the data.

Exercise | Q 54 | Page 87

The following table shows the area of the land on which different crops were grown.

 Crop Area of land (in million hectares) Rice 50 Wheat 30 Pulses 20 Sugarcane 25 Cotton 15

Prepare a pictograph by choosing a suitable symbol to represent 10 million hectares.

Exercise | Q 55 | Page 87
 Crop Area of land (in million hectares) Rice 50 Wheat 30 Pulses 20 Sugarcane 25 Cotton 15

Prepare a bar graph of the data.

Exercise

## NCERT solutions for Mathematics Exemplar Class 6 chapter 5 - Data Handling

NCERT solutions for Mathematics Exemplar Class 6 chapter 5 (Data Handling) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Exemplar Class 6 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics Exemplar Class 6 chapter 5 Data Handling are Concept of Data Handling, Recording Data, Organisation of Data, Concept of Pictograph, Interpretation of a Pictograph, Drawing a Pictograph, Concept of Bar Graph, Interpretation of Bar Graphs, Drawing a Bar Graph.

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