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


total = 
Q1 (i) Observe the histogram (Fig 5.3) and answer the questions given below.
What information is being given by the histogram?
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?
(ii) The group which contains maximum girls is
(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
and more — Group A =
to less than — Group B =
Less than — Group C =
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.
(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.
(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.
(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.
(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.
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.
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?
(i) The group which has the maximum number of workers is
How many workers earn less than ?
(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?
(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?
(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?
(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
of the fraction of the circle represent girls and other represent boys of class.
The circle represents that students use cycle for transportation, walk and use bus or car for transportation.
(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?
(i) Entertainment programmes are viewed the most i.e. .
Informative and News together have a number of viewers equal to those watching sports channels.
Q1 Draw a pie chart of the data given below.
The time spent by a child during a day.
Sleep —
School —
Homework —
Play —
Others —
Pie chart of the data is given below:
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 
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.
(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?
(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)