NCERT Solutions for Class 8 Maths Chapter 5 Data Handling
NCERT solutions for class 8 maths chapter 5 Data Handling  In our daily life, we come across various types of data through the newspaper, television, social media which are related to many things like sports, economy, GDP, etc. Also, you must have seen these data are represented in the graphs, charts, and in the tabular form. Why we need data? What is the purpose of representing these data into a chart or in graph form? In CBSE NCERT solutions for class 8 maths chapter 5 data handling, you will get answers to all these questions. Basically, data is the collection of information and observations which can be used to make some important decisions. In this chapter, you will learn to represent data in organized form so that its interpretation and analysis become easier. You will get to know about types of graphs and charts to represent data and some are listed below.
 Tabular Chart The most simple form of data presentation is Tabular chart where data is always represented in matrix form which is most easy to the readable form of data representation.
 Pie Chart  Pie Chart is the chart where the data represented either in percentage or in the angle made in the middle by that particular sector of the circle.
 Bar Graph  It is the most preferred method of data representation where data always present in bars and multiple bars makes a bar graph.
 Line Graph  Line Graph is the extended and updated version of Bar Graph where the top of every bar is connected to the next bar’s top and the adjoining of these tops makes a line graph.
There are many questions in the solutions of NCERT for class 8 maths chapter 5 data handling where you will get to know about the use of different types of graphs for different types of data based on the need. There are 3 exercises with 16 questions in this chapter. You will get detailed explanations of these questions in the CBSE NCERT solutions for class 8 maths chapter 5 data handling. Check NCERT solutions from class 6 to 12 to perform well in the exam . Here you will get solutions to three exercises of this chapter.
Solutions of NCERT for class 8 maths chapter 5 Data Handling Topic: Looking For Infortmation
Q1 Draw an appropriate graph to represent the given information.
Month  July  August  September  October  November  December 
Number of Watches sold 
1000  1500  1500  2000  2500  1500 
Answer:
The above given graph represents the data given in the table.
Month  July  August  September  October  November  December 
Number of Watches sold 
1000  1500  1500  2000  2500  1500 
Q2 Draw an appropriate graph to represent the given information.
Children Who prefer 
School A 
School B  School C 
Walking  40  55  15 
Cycling  45  25  35 
Answer:
Above graph represents the data shown in the table.
Children Who prefer 
School A 
School B  School C 
Walking  40  55  15 
Cycling  45  25  35 
Q3 Draw an appropriate graph to represent the given information
Percentage wins in ODI by 8 top cricket teams
Team 
From Champions Trophy to World Cup06 
Last 10 ODI in 07 
South Africa 

Australia 

Sri Lanka 

New Zealand 

England 

Pakistan 

West Indis 

India 
Answer:
The above graph represents the data given in table.
Team 
From Champions Trophy to World Cup06 
Last 10 ODI in 07 
South Africa 

Australia 

Sri Lanka 

New Zealand 

England 

Pakistan 

West Indis 

India 
NCERT solutions for class 8 maths chapter 5 Data Handling Topic: Organising Data
Answer:
The above data can be represented as shown below:
Animals 
Tally marks 
Number of animals 
Cat 

10 
Dog 
10 

Fish 
3 

Cow 
1 

Rabbit 
4 
Solutions for NCERT class 8 maths chapter 5 Data Handling Topic: Grouping Data
Q1 Study the following frequency distribution table and answer the questions given below.
What is the size of the class intervals?
Frequency Distribution of Daily Income of 550 workers of a factory
Table 5.3
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Answer:
(i) The size of the class intervals =
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Q1 (ii) Study the following frequency distribution table and answer the questions given below.
Which class has the highest frequency?
Frequency Distribution of Daily Income of 550 workers of a factory
Table 5.3
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Answer:
(ii) The class which has the highest frequency = and the highest frequency is
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Q1 (iii) Study the following frequency distribution table and answer the questions given below.
Which class has the lowest frequency?
Frequency Distribution of Daily Income of 550 workers of a factory
Table 5.3
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Answer:
(iii) The class which has the lowest frequency = and lowest frequency is 20.
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Frequency Distribution of Daily Income of 550 workers of a factory
Table 5.3
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Answer:
(iv) The upper limit of the class interval 250275 is 275 and frequency is 35.
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Q1 (v) Study the following frequency distribution table and answer the questions given below.
Which two classes have the same frequency?
Frequency Distribution of Daily Income of 550 workers of a factory
Table 5.3
Class Interval (Daily Income in Rs.) 
Frequency (Number of workers) 


















Total 
Answer:
(v) The two classes which have the same frequency are and also the frequency is 55.
, and so on.
Answer:
The frequency distribution table for the data given is :
intervels  students 


total = 
Solutions for NCERT class 8 maths chapter 5 Data Handling Excercise: Bars With A Difference
Q1 (i) Observe the histogram (Fig 5.3) and answer the questions given below.
What information is being given by the histogram?
Answer:
The above histogram represents the number of girls as yaxis and heights in cm as xaxis.
Q1 (ii) Observe the histogram (Fig 5.3) and answer the questions given below.
Which group contains maximum girls?
Answer:
(ii) The group which contains maximum girls is
Answer:
(iii) The girls having a height of and more are
Q1 (iv) Observe the histogram (Fig 5.3) and answer the questions given below.
If we divide the girls into the following three categories, how many would there be in each?
and more — Group A
to less than — Group B
Less than — Group C
Answer:
and more — Group A =
to less than — Group B =
Less than — Group C =
NCERT solutions for class 8 maths chapter 5 Data Handling Excercise: 5.1
Q1 (a) For which of these would you use a histogram to show the data?
The number of letters for different areas in a postman’s bag.
Answer:
(a) The number of letters for different areas in a postman’s bag.
Histogram can be represented for the data which can be represented as manner of intervals.The number of letters for different areas in a postman’s bag cannot be represented in form of interval so this cannot be represented using histogram.
Q1 (b) For which of these would you use a histogram to show the data?
The height of competitors in an athletics meet.
Answer:
(b) The height of competitors in an athletics meet.
Histogram can be represented for the data which can be represented as manner of intervals.The height of competitors in an athletics meet can be represented in form of interval so this can be represented using histogram.
Q1 (c) For which of these would you use a histogram to show the data?
The number of cassettes produced by companies.
Answer:
(c) The number of cassettes produced by companies.
Histogram can be represented for the data which can be represented as manner of intervals.The number of cassettes produced by companies cannot be represented in form of interval so this cannot be represented using histogram.
Q1 (d) For which of these would you use a histogram to show the data?
The number of passengers boarding trains from to at a station.
Answer:
(d) The number of passengers boarding trains from to at a station.
Histogram can be represented for the data which can be represented as manner of intervals.The number of passengers boarding trains from to at a station can be represented in form of interval so this can be represented using histogram.
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
Answer:
The frequency distribution table using tally marks is as shown :
Shopper  Tally marks  Number of shoppers 
W  28  
M  15  
B  5  
G  12  
60 
The graph is as shown :
Q3 The weekly wages (in ) of workers in a factory are.
Using tally marks make a frequency table with intervals as 800–810, 810–820 and so on.
Answer:
Using tally marks a frequency table with intervals as 800–810, 810–820 and so on is as shown:
Intervals  Tally MARKS  Frequency 
Which group has the maximum number of workers?
Answer:
(i) The group which has the maximum number of workers is
How many workers earn less than ?
Answer:
(iii) The workers earning less than are .
3 + 2 + 1 + 9 + 5 = 20
For how many hours did the maximum number of students watch TV?
Answer:
(i) From the graph we observed that the maximum number of students (32) watch TV for 45 hours.
How many students watched TV for less than hours?
Answer:
(ii) 34 students watched TV for less than hours.
The number of students who watched TV for less than 4 hours = sum of the students who watched TV for (3–4hours) + (2–3hours) + (1–2hours.)
So, the total number of students = 4 + 8 + 22 = 34
How many students spent more than hours in watching TV?
Answer:
(iii) 14 students spent more than hours in watching TV.
The number of students who watched TV for >5 hours = number of students who watched TV for (5 – 6 hours) + (6 – 7 hours).
So the no. of students = 8 + 6 = 14
Solutions of NCERT for class 8 maths chapter 5 Data Handling Topic: Circle Graph or Pie Chart
Answer:
of the fraction of the circle represent girls and other represent boys of class.
Answer:
The circle represents that students use cycle for transportation, walk and use bus or car for transportation.
Answer:
(iii)
The circle represents that students love and students hate Mathematics.
Q2 (i) Answer the following questions based on the pie chart given (Fig 5.6 ).
Which type of programmes are viewed the most?
Answer:
(i) Entertainment programmes are viewed the most i.e. .
Answer:
Informative and News together have a number of viewers equal to those watching sports channels.
Solutions for NCERT class 8 maths chapter 5 Data Handling Excercise: Drawing Pie Chart
Q1 Draw a pie chart of the data given below.
The time spent by a child during a day.
Sleep —
School —
Homework —
Play —
Others —
Answer:
Pie chart of the data is given below:
Solutions of NCERT for class 8 maths chapter 5 Data Handling Excercise: Drawing Pie Chart
Q1 Which form of graph would be appropriate to display the following data.
Production of food grains of a state.
Year  2001  2002  2003  2004  2005 
2006 
Production (in lakh tons) 
60  50  70  55  80  85 
Answer:
Data can be represented as shown below as bar graph.
Q2 Which form of graph would be appropriate to display the following data.
Choice of food for a group of people.
Favourite food 
Number of people 
North Indian 

South Indian 

Chinese 

Others 

Total 
Answer:
The given data can be represented as shown below as pie chart.
Q3 Which form of graph would be appropriate to display the following data.
The daily income of a group of factory workers
Daily Income (in Rupees) 
Number of workers (In a factory) 














Total 

Answer:
The data can be represented as shown below as bar graph.
NCERT solutions for class 8 maths chapter 5 Data Handling Excercise: 5.2
(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?
(iii) If a cassette company were to make 1000 CD’s, how many of each type would they make?
Answer:
(i)If 20 people liked classical music
Total number of people = = people.
(ii) Maximum number of people light music i.e. .
(iii) If a cassette company were to make 1000 CD’s, then
Light music CD's =
Folk music CD's =
Classical music CD's =
Semi classical music CD's =
(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii) Draw a pie chart to show this information.
Answer:
(i) Winter season got the most votes.
(ii) Total Votes = 90+120+150 = 360
central angle of summer = =
central angle of rainy = =
central angle of winter = =
(iii)
Q3 Draw a pie chart showing the following information.
The table shows the colours preferred by a group of people.
Answer:
colours  number of people  in fraction  central angles 
Blue  18  
Green  9  
Red  6  
Yellow  3 
(i) In which subject did the student score 105 marks?
( Hint: for marks, the central angle . So, for marks, what is the central angle?)
Answer:
subject  central angle  marks obtained 
mathematics  
science  
social science  
english  
hindi 
(i) In hindi subject the student score 105 marks.
How many more marks were obtained by the student in Mathematics than in Hindi?
Answer:
subject  central angle  marks obtained 
mathematics  
science  
social science  
english  
hindi 
(ii)
Hence, 30 more marks were obtained by the student in Mathematics than in Hindi.
( Hint : Just study the central angles).
Answer:
subject  central angle  marks obtained 
mathematics  
science  
social science  
english  
hindi 
(iii) the sum of the marks obtained in Social Science and Mathematics =
the sum of the marks obtained in Science and Hindi =
Yes, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
Answer:
The pie chart is as shown below:
Solutions of NCERT for class 8 maths chapter 5 Data Handling Practise: Getting A Result
Q1 If you try to start a scooter, what are the possible outcomes?
Answer:
1.If you try to start a scooter,then there are two possibilities.
(i) . The scooter will start.
(ii) . The scooter will not start.
Q2 When a die is thrown, what are the six possible outcomes?
Answer:
2. When a die is thrown, the six possible outcomes are :
(i) 1
(ii) 2
(iii)3
(iv)4
(v)5
(vi)6
Q3 When you spin the wheel shown, what are the possible outcomes? (Fig 5.9) List them.
(Outcome here means the sector at which the pointer stops).
Answer:
3. When we spin the wheel shown, the possible outcomes are:
(i) A
(ii) B
(iii) C
Fig 5.10
Answer:
Fig 5.10
The possible outcomes are:
(i) W
(ii) R
(iii) B
(iv) G
(v) Y
• Does the first player have a greater chance of getting a six?
• Would the player who played after him have a lesser chance of getting a six?
Answer:
In throwing a die:
• No, the first player also have same chance of getting a six.
• No, the player who played after him have same chance of getting a six.
• Suppose the second player got a six.It does not mean that the third player would not have a chance of getting a six. Third person also have same chance of getting six.
NCERT solutions for class 8 maths chapter 5 Data Handling Excercise: Linking Chances of Probablity
Suppose you spin the wheel
Answer:
(i) the number of outcomes of getting a green sector = 5
the number of outcomes of not getting a green sector = 3
Suppose you spin the wheel
Q1 (ii) Find the probability of getting a green sector.
.
Answer:
(ii) the probability of getting a green sector = 5/8 = 0.625
Suppose you spin the wheel
Q1 (iii) Find the probability of not getting a green sector.
Answer:
(iii) the probability of not getting a green sector = =
NCERT solutions for class 8 maths chapter 5 Data Handling Excercise: 5.3
Q1 (a) List the outcomes you can see in these experiments. Spinning a wheel
Answer:
(a) the outcomes you can see in these experiments are:
(i) A
(ii) B
(iii) C
(iv) D
Q1 (b) List the outcomes you can see in these experiments Tossing two coins together
Answer:
(b)The outcomes you can see in the experiments Tossing two coins together are :
(i) Head
(ii) tail
Q2 When a die is thrown, list the outcomes of an event of getting
(i) (a) a prime number (b) not a prime number.
(ii) (a) a number greater than (b) a number not greater than .
Answer:
When a die is thrown, the outcomes of an event of getting
(i) (a) a prime number are 2,3,5.
(b) not a prime number are 1,4,6.
(ii) (a) a number greater than 5 is 6.
(b) a number not greater than 5 are1,2,3,4,5.
Q3 (a) Find the Probability of the pointer stopping on D in (Question 1(a))?
Answer:
(a) Probability of the pointer stopping on D
Q3 (b) Find the Probability of getting an ace from a well shuffled deck of 52 playing cards?
Answer:
(b) Probability of getting an ace from a well shuffled deck of 52 playing cards
Q3 (c) Find the Probability of getting a red apple. (See figure below)
Answer:
(c) Probability of getting a red apple
(i) getting a number ?
(ii) getting a number less than ?
(iii) getting a number greater than ?
(iv) getting a 1digit number?
Answer:
(i) the probability of getting a number
(ii) the numbers less than 6 are: 1,2,3,4,5=5 numbers.
the probability of getting a number less than
(iii) the numbers greater than 6 are: 7,8,9,10=4 numbers.
the probability of getting a number greater than
(iv) 1 digit numbers = 1,2,3,4,5,6,7,8,9 = 9 numbers
the probability of getting a 1 digit number
Answer:
Total sectors = 5
 the probability of getting a green sector
 Non blue sector = 51 = 4
probability of getting a non blue sector
Q6 Find the probabilities of the events given in Question 2.
When a die is thrown, list the outcomes of an event of getting
(i) (a) a prime number
(b) not a prime number.
(ii) (a) a number greater than 5
(b) a number not greater than 5.
Answer:
Total outcomes = 6
6.(i) (a) prime numbers = 2,3,5 = 3 numbers
probability of prime number
(b) non prime numbers = 1,4,6 = 3 numbers
probability of non prime number
(ii) (a) number greater than 5 = 6 = 1 number only
probability of getting number greater than 5
(b) number not greater than 5 = 1,2,3,4,5 = 5 numbers.
probability of getting number not greater than 5
NCERT solutions for class 8 maths: Chapterwise
NCERT solutions for class 8: Subjectwise
There are some important terms and formulas used in the NCERT solutions for class 8 maths chapter 5 data handling which is listed below.
 Raw data: Unorganised form of data is called raw data.
 Frequency: Number of times a particular entry occurs is the frequency of that entry.
 Histogram: It is a type of bar diagram, where the class intervals are shown on the horizontal axis and the heights of the bars show the frequency of that class interval.
 Random experiment: In simple word, an experiment is whose outcome cannot be predicted exactly in advance.
 Event: One or more outcomes of an experiment is called an event.
 Probability: Ratio of the number of outcomes of an event and the total number of outcomes of the experiment.
There are many questions given after every topic. To make a
grip on this topic
, you should
examples, practice questions given after every topic and exercise questions by your self. If you finding difficulties you can take help from the
CBSE NCERT solutions for class 8 maths chapter 5 data handling.
Happy Reading!!!