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    NCERT Solutions for Class 8 Maths Chapter 5 Data Handling

    Edited By Ramraj Saini | Updated on Oct 09, 2023 03:16 PM IST

    NCERT Solutions for Class 8 Maths Chapter 5 Data Handling

    Data Handling Class 8 Questions And Answers provided here. These NCERT Solutions are created by expert team at craeers360 keeping the latest syllabus and pattern of CBSE 2023-23. 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 NCERT solutions for class 8 maths chapter 5 data handling, you will get answers to all these questions. Basically, the data is a collection of observations and information, while making important decisions, data is much helpful. Also, check NCERT class 8 solutions maths for maths and science subjects.

    Data Handling Class 8 Questions And Answers PDF Free Download

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    Data Handling Class 8 Solutions - Important Points

    • Data: A systematic record of facts or distinct values of a quantity.

    • Presentation of Data: Arranging data to study their salient features.

    • Frequency: The number of times a particular entity occurs in data.

    • Frequency Distribution Table: A table representing the frequency of different entities in the data.

    • Grouped Frequency Distribution Table: Data grouped into class intervals.

    • Class Size or Width: The number of values in each class interval.

    • Lower Class Limit: The lower value in a class interval.

    • Upper-class Limit: The upper value in a class interval.

    • Pictograph: Pictorial representation of data using symbols.

    • Bar Graph: A display of data using bars of uniform width, with heights proportional to values.

    • Double Bar Graph: A graph showing two sets of data simultaneously for comparison.

    • Histogram: A graphical representation of frequency distribution using rectangles with no gaps between them.

    • Circle Graph or Pie Chart: A representation of numerical data using proportional sectors in a circle.

    • Probability Formula: Probability = Number of outcomes making up an event / Total number of outcomes (assuming equally likely outcomes).

    Free download NCERT Solutions for Class 8 Maths Chapter 5 Data Handling for CBSE Exam.

    Data Handling Class 8 NCERT Solutions (Intext Questions and Exercise)

    Q- 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:

    c1

    Q- Draw an appropriate graph to represent the given information

    Percentage wins in ODI by 8 top cricket teams

    Team
    From Champions
    Trophy to World Cup-06
    Last 10 ODI in 07
    South Africa
    75%
    78%
    Australia
    61%
    40%
    Sri Lanka
    54%
    38%
    New Zealand
    47%
    50%
    England
    46%
    50%
    Pakistan
    45%
    44%
    West Indis
    44%
    30%
    India
    43%
    56%

    Answer:

    c3

    NCERT Class 8 Maths Solutions Chapter 5 - Organising Data

    Q1 A group of students were asked to say which animal they would like most to have as a pet. The results are given below:
    dog, cat, cat, fish, cat, rabbit, dog, cat, rabbit, dog, cat, dog, dog, dog, cat, cow, fish, rabbit, dog, cat, dog, cat, cat, dog, rabbit, cat, fish, dog. Make a frequency distribution table for the same.

    Answer: The above data can be represented as shown below:

    16109455558001610945552956

    NCERT Class 8 Maths Solutions Chapter 5 - Grouping Data

    Q1 Study the following frequency distribution table and answer the questions given below.

    Frequency Distribution of Daily Income of 550 workers of a factory (Table 5.3)

    Class Interval
    (Daily Income in Rs.)
    Frequency
    (Number of workers)
    100-125
    45
    125-150
    25
    150-175
    55
    175-200
    125
    200-225
    140
    225-250
    55
    250-275
    35
    275-300
    50
    300-325
    20
    Total
    550


    (i) What is the size of the class intervals?

    Answer: (i) The size of the class intervals = 125-100 = 25

    (ii) Which class has the highest frequency?

    Answer: (ii) The class which has the highest frequency = 200-225 and the highest frequency is 140

    (iii) Which class has the lowest frequency?

    Answer: (iii) The class which has the lowest frequency = 300-325 and the lowest frequency is 20.

    (iv) What is the upper limit of the class interval 250-275?

    Answer: (iv) The upper limit of the class interval 250-275 is 275 and frequency is 35.

    (v) Which two classes have the same frequency?

    Answer: (v) The two classes which have the same frequency are 150-175 and 225-250 also the frequency is 55.

    Q2 Construct a frequency distribution table for the data on weights (in kg) of 20 students of a class using intervals 30-35, 35-40 and so on.

    40, 38, 33, 48, 60, 53, 31, 46, 34, 36, 49, 41, 55, 49, 65, 42, 44, 47, 38, 39

    Answer: The frequency distribution table for the data given is :

    Intervals
    students
    30-35
    3
    35-40
    5
    40-45
    3
    45-50
    5
    50-55
    2
    55-60
    1
    60-65
    1

    total = 20

    NCERT Class 8 Maths Solutions Chapter 5 - Bars With A Difference

    Q1. Observe the histogram (Fig 5.3) and answer the questions given below.

    16044

    (i) What information is being given by the histogram?

    Answer: The above histogram represents the number of girls as y-axis and heights in cm as x-axis.

    (ii) Which group contains maximum girls?

    Answer: The group which contains maximum girls is 140-145

    (iiI) How many girls have a height of 145 cms and more?

    Answer: The girls having a height of 145 cms and more are 4+2+1 = 7

    (iv) If we divide the girls into the following three categories, how many would there be in each?
    150 cms and more — Group A
    140 cm to less than 150 cm — Group B
    Less than 140 cm — Group C

    Answer: 150 cms and more — Group A = 2+1 = 3
    140 cm to less than 150 cm — Group B = 7+4 = 11
    Less than 140 cm — Group C = 1+2+3 = 6

    Class 8 maths chapter 5 NCERT solutions - Exercise: 5.1

    Q1 For which of these would you use a histogram to show the data?

    (a) The number of letters for different areas in a postman’s bag.

    Answer: Histogram can be represented for the data which can be represented as a 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 the histogram.

    (b) The height of competitors in an athletics meet.

    Answer: Histogram can be represented for the data which can be represented as a manner of intervals. The height of competitors in an athletics meet can be represented in form of interval so this can be represented using the histogram.

    (c) The number of cassettes produced by 5 companies.

    Histogram can be represented for the data which can be represented as a manner of intervals. The number of cassettes produced by 5 companies cannot be represented in form of interval so this cannot be represented using a histogram.

    (d) The number of passengers boarding trains from 7 am to 7 pm at a station.

    Answer: Histogram can be represented for the data which can be represented as a manner of intervals. The number of passengers boarding trains from 7 am to 7 pm at a station can be represented in form of interval so this can be represented using a histogram.

    Q2 The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning: WWWGBWWMGGMMWWWWGBMWBGGMWWMMWWWMWBWGMWWWWGWMMWWMWGWMGWMMBGGW
    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 :

    dthnd81

    The graph is as shown below

    1643184522299

    Q3 The weekly wages (in Rs) of 30 workers in a factory are.
    830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840
    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 below:

    dthnd82

    Q4 (i) Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions.
    830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840
    Which group has the maximum number of workers?

    Answer: (i) The group which has the maximum number of workers is 830-840


    Q4 (ii) Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions.

    830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840

    How many workers earn Rs. 850 and more?

    Answer:

    (ii) The workers earning Rs 850 and more are 1 + 3 + 1 +1 + 4 = 10

    1643185456103

    Q4 (iii) Draw a histogram for the frequency table made for the data in Question 3,and answer the following questions.

    830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840

    Q4 (iii) Draw a histogram for the frequency table made for the data in Question 3,and answer the following questions.

    830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840

    How many workers earn less than Rs 850

    Answer: (iii) The workers earning less than RS 850 are 20 .

    3 + 2 + 1 + 9 + 5 = 20

    c7

    Q5 (i) The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following.

    For how many hours did the maximum number of students watch TV?

    1643185499893

    Answer: (i) From the graph we observed that the maximum number of students (32) watch TV for 4-5 hours.


    Q5 (ii) The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following.

    How many students watched TV for less than 4 hours?

    1643185546249

    Answer: (ii) 34 students watched TV for less than 4 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

    Q5 (iii) The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following.

    How many students spent more than 5 hours in watching TV?

    1643185585775

    Answer: (iii) 14 students spent more than 5 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

    NCERT Class 8 Maths Solutions Chapter 5 - Circle Graph or Pie Chart

    Q1 (i) Each of the following pie charts (Fig 5.5) gives you a different piece of information about your class. Find the fraction of the circle representing each of this information.

    1643185616530

    Answer: 50% of the fraction of the circle represent girls and other 50% represent boys of class.

    Q1 (ii) Each of the following pie charts (Fig 5.5) gives you a different piece of information about your class. Find the fraction of the circle representing each of this information.

    16197

    Answer: The circle represents that 20% students use cycle for transportation, 40% walk and 40% use bus or car for transportation.

    Q1 (iii) Each of the following pie charts (Fig 5.5) gives you a different piece of information about your class. Find the fraction of the circle representing each of this information.

    16206

    Answer:

    (iii)

    16206

    The circle represents that 85% students love and 15% 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?

    16288

    Answer:

    (i) Entertainment programmes are viewed the most i.e. 50 \% .

    16288

    Q2 (ii) Answer the following questions based on the pie chart given (Fig 5.6 ). Which two types of programmes have number of viewers equal to those watching sports channels?

    16288

    Answer: Informative and News together have a number of viewers equal to those watching sports channels.

    16288

    NCERT Class 8 Maths Solutions Chapter 5 - Drawing Pie Chart

    Q1 Draw a pie chart of the data given below.

    The time spent by a child during a day.

    Sleep — 8 hours

    School — 6 hours

    Homework — 4 hours

    Play — 4 hours

    Others — 2 hours

    Answer: Pie chart of the data is given below:

    1643185648110

    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.

    1643185672043

    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
    30
    South Indian
    40
    Chinese
    25
    Others
    25
    Total
    120

    Answer: The given data can be represented as shown below as pie chart.

    1643185704975

    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)
    75-100
    45
    100-125
    35
    125-150
    55
    150-175
    30
    175-200
    50
    200-225
    125
    225-250
    140
    Total
    480

    Answer:

    The data can be represented as shown below as bar graph.

    1643185733792

    Class 8 data handling NCERT solutions - Exercise: 5.2

    Q1 A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey. From this pie chart answer the following:

    (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?

    1643185766828

    Answer:

    1643185776886

    (i)If 20 people liked classical music

    Total number of people = (100\times 20)\div 10 = 200 people.

    (ii) Maximum number of people light music i.e. 40 \% .

    (iii) If a cassette company were to make 1000 CD’s, then

    Light music CD's = ( 40\times 1000) \div 100\:\:=400

    Folk music CD's = \left ( 30\times 1000 \right )\div 100\:\:=300

    Classical music CD's = \left ( 10\times 1000 \right )\div 100\:\:=100

    Semi classical music CD's = \left ( 20\times 1000 \right )\div 100\:\:=200

    Q2 A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer.

    15961166454811596116642673


    (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:

    15961167462601596116744931

    (i) Winter season got the most votes.

    (ii) Total Votes = 90+120+150 = 360

    central angle of summer = (90\degree\times 360\degree)\div 360\degree = 90\degree

    central angle of rainy = (120\degree\times 360\degree)\div 360\degree = 120\degree

    central angle of winter = (150\degree\times 360\degree)\div 360\degree = 150\degree

    (iii)

    1643185813246

    Q3 Draw a pie chart showing the following information.

    The table shows the colours preferred by a group of people.

    15961169358111596116932006

    Answer:

    15961170254461596117021652

    colours
    number of people
    in fraction
    central angles
    Blue
    18
    \frac{18}{36}=\frac{1}{2}
    \frac{1}{2}\times 360 \degree= 180\degree
    Green
    9
    \frac{9}{36}=\frac{1}{4}
    \frac{1}{4}\times 360 \degree= 90\degree
    Red
    6
    \frac{6}{36}=\frac{1}{6}
    \frac{1}{6}\times 360 \degree= 60\degree
    Yellow
    3
    \frac{3}{36}=\frac{1}{12}
    \frac{1}{12}\times 360 \degree= 30\degree


    1643185856055

    Q4 The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540 , answer the following questions.

    1643185884248

    (i) In which subject did the student score 105 marks?

    ( Hint: for 540 marks, the central angle =360^{\circ} . So, for 105 marks, what is the central angle?)

    Answer:

    subject
    central angle
    marks obtained
    mathematics
    90\degree
    (90\degree\times 540)\div 360 = 135
    science
    80\degree
    (80\degree\times 540)\div 360 = 120
    social science
    65\degree
    (65\degree\times 540)\div 360 = 97.5
    english
    55\degree
    (55\degree\times 540)\div 360 = 82.5
    hindi
    70\degree
    (70\degree\times 540)\div 360 = 105

    (i) In hindi subject the student score 105 marks.

    Q4 (ii) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540 , answer the following questions.

    How many more marks were obtained by the student in Mathematics than in Hindi?

    1643185910792

    Answer:

    subject
    central angle
    marks obtained
    mathematics
    90\degree
    (90\degree\times 540)\div 360 = 135
    science
    80\degree
    (80\degree\times 540)\div 360 = 120
    social science
    65\degree
    (65\degree\times 540)\div 360 = 97.5
    english
    55\degree
    (55\degree\times 540)\div 360 = 82.5
    hindi
    70\degree
    (70\degree\times 540)\div 360 = 105

    (ii) 135-105=30

    Hence, 30 more marks were obtained by the student in Mathematics than in Hindi.

    Q4 The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.

    Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

    (Hint: Just study the central angles).

    1643185937900

    Answer:

    subject
    central angle
    marks obtained
    mathematics
    90\degree
    (90\degree\times 540)\div 360 = 135
    science
    80\degree
    (80\degree\times 540)\div 360 = 120
    social science
    65\degree
    (65\degree\times 540)\div 360 = 97.5
    english
    55\degree
    (55\degree\times 540)\div 360 = 82.5
    hindi
    70\degree
    (70\degree\times 540)\div 360 = 105

    (iii) the sum of the marks obtained in Social Science and Mathematics = 97.5+135=232.5

    the sum of the marks obtained in Science and Hindi = 120+105=225

    Yes, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

    Q5 The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.

    1643185960800

    Answer:

    1643185981269

    The pie chart is as shown below:

    1643186001803

    NCERT Class 8 Maths Solutions Chapter 5 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).

    c3

    Answer: 3. When we spin the wheel shown, the possible outcomes are:

    (i) A

    (ii) B

    (iii) C

    Q4 You have a bag with five identical balls of different colours and you are to pull out (draw) a ball without looking at it; list the outcomes you would get (Fig 5.10).

    15961172214181596117218823

    Fig 5.10

    Answer:

    15961172311361596117227830

    Fig 5.10

    The possible outcomes are:

    (i) W

    (ii) R

    (iii) B

    (iv) G

    (v) Y

    Q5 In throwing a die:
    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?
    Suppose the second player got a six. Does it mean that the third player would not have a 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 Class 8 Maths Solutions Chapter 5 - Excercise: Linking Chances of Probablity

    Suppose you spin the wheel

    Q1 (i) List the number of outcomes of getting a green sector and not getting a green sector on this wheel (Fig 5.11).

    1643186065143

    Answer:

    1643186078092

    (i) the number of outcomes of getting a green sector = 5

    the number of outcomes of not getting a green sector = 3

    Q1 (ii) Suppose you spin the wheel Find the probability of getting a green sector.

    . 1643186116395

    Answer:

    1643186128981

    (ii) the probability of getting a green sector = 5/8 = 0.625

    Q1 (iii) Suppose you spin the wheel Find the probability of not getting a green sector.

    1643186162047

    Answer: (iii) the probability of not getting a green sector = \frac{3}{8} = 0.375

    1643186174025

    Class 8 maths chapter 5 question answer - Exercise: 5.3

    Q1 (a) List the outcomes you can see in these experiments. Spinning a wheel

    c6

    Answer:

    (a) the outcomes you can see in these experiments are:

    c6

    (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 5 (b) a number not greater than 5 .

    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))?

    1643186200073

    Answer: (a) Probability of the pointer stopping on D =\frac{1}{5}=0.2

    1643186210406

    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

    =\frac{4}{52}=\frac{2}{26}=\frac{1}{13}=0.769

    Q3 (c) Find the Probability of getting a red apple. (See figure below)

    15961174342191596117431213

    Answer:

    (c) Probability of getting a red apple

    =\frac{4}{7}= 0.571

    15961174454501596117442972

    Q4 Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of .

    (i) getting a number 6?

    (ii) getting a number less than 6?

    (iii) getting a number greater than 6?

    (iv) getting a 1-digit number?

    Answer:

    (i) the probability of getting a number

    =\frac{1}{10}=0.1

    (ii) the numbers less than 6 are: 1,2,3,4,5=5 numbers.

    the probability of getting a number less than 6

    =\frac{5}{10}=0.5

    (iii) the numbers greater than 6 are: 7,8,9,10=4 numbers.

    the probability of getting a number greater than 6

    =\frac{4}{10}=0.4

    (iv) 1 digit numbers = 1,2,3,4,5,6,7,8,9 = 9 numbers

    the probability of getting a 1 digit number

    =\frac{9}{10}=0.9

    Q5 If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non blue sector?

    Answer:

    Total sectors = 5

    • the probability of getting a green sector

    =\frac{3}{5}

    • Non blue sector = 5-1 = 4

    probability of getting a non blue sector

    =\frac{4}{5}

    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

    =\frac{3}{6}=\frac{1}{2}

    (b) non prime numbers = 1,4,6 = 3 numbers

    probability of non prime number

    =\frac{3}{6}=\frac{1}{2}

    (ii) (a) number greater than 5 = 6 = 1 number only

    probability of getting number greater than 5

    =\frac{1}{6}

    (b) number not greater than 5 = 1,2,3,4,5 = 5 numbers.

    probability of getting number not greater than 5

    =\frac{5}{6}

    NCERT Solutions for Class 8 Maths Chapter 5 Data Handling - Summary

    In NCERT solutions class 8 maths chapter 5, you will learn the data representation in an organized form so that its interpretation and analysis can become easier. By referring to NCERT solutions for class 8 maths chapter 5, 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. Tabular Chart example is given below for students’ reference.

    • Pie Chart - NCERT class 8 maths solutions chapter 5 says that a pie chart is a chart where the data is represented either in the form of percentages or as angles made in the middle by that particular sector of the circle.

    • Bar Graph - As per NCERT solutions for class 8 maths chapter 5, the bar graph is the most preferred method of data representation where data is always represented in bars and multiple bars.

    • Line Graph - Line Graph is an integral part of NCERT 8th class maths solutions chapter 5 data handling. It is an 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.

    1606974399322

    There are many questions in the NCERT solutions for class 8 maths chapter 5 data handling, in which 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 chapter 5 of NCERT class 8 maths solutions. You will get detailed explanations of these questions in the NCERT solutions for class 8 maths chapter 5 data handling.

    NCERT solutions for class 8 maths chapter 5 Data Handling - Topics

    • Looking For Information
    • Organising Data
    • Grouping Data
    • Bars With A Difference
    • Excercise: 5.1
    • Circle Graph or Pie Chart
    • Drawing Pie Chart
    • Excercise: 5.2
    • Getting A Result
    • Excercise: Linking Chances of Probablity
    • Excercise: 5.3

    NCERT Solutions for Class 8 Maths - Chapter Wise

    NCERT Class 8 Maths Solutions - Subject Wise

    NCERT Class 8 Maths Solutions Chapter 5 - Important Terms

    There are some important terms and formulas used in the class 8 maths ch 5 question answer which are 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.

    Probability = \frac{The \:number \:of \:outcomes\: that \:make \:an\: event }{Divided\: by\: total\: number\: of\: outcomes\: of\: the\: experiment}


    There are many questions given after every topic. To make a grip on this topic, you should example, practice questions are given after every topic, and exercise questions by your self. If you finding difficulties you can take help from the NCERT solutions for class 8 maths chapter 5 data handling.

    NCERT Books and NCERT Syllabus

    Frequently Asked Question (FAQs)

    1. What are the important topics of chapter Data Handling ?

    Organizing and grouping data, bar charts, pie charts, probability are the important topics of this chapter.

    2. Does CBSE class maths is tough ?

    CBSE class 8 maths is a basic and very simple maths where most of the topics related to the previous classes.

    3. Where can I find the complete solutions of NCERT for class 8 ?

    Here you will get the detailed NCERT solutions for class 8 by clicking on the link.

    4. Where can I find the complete solutions of NCERT for class 8 maths ?

    Here you will get the detailed NCERT solutions for class 8 maths by clicking on the link.

    5. How many chapters are there in the CBSE class 8 maths ?

    There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.

    6. Which is the official website of NCERT ?

    NCERT official is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12.

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    Get answers from students and experts

    A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

    Option 1)

    0.34\; J

    Option 2)

    0.16\; J

    Option 3)

    1.00\; J

    Option 4)

    0.67\; J

    A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

    Option 1)

    2.45×10−3 kg

    Option 2)

     6.45×10−3 kg

    Option 3)

     9.89×10−3 kg

    Option 4)

    12.89×10−3 kg

     

    An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

    Option 1)

    2,000 \; J - 5,000\; J

    Option 2)

    200 \, \, J - 500 \, \, J

    Option 3)

    2\times 10^{5}J-3\times 10^{5}J

    Option 4)

    20,000 \, \, J - 50,000 \, \, J

    A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

    Option 1)

    K/2\,

    Option 2)

    \; K\;

    Option 3)

    zero\;

    Option 4)

    K/4

    In the reaction,

    2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

    Option 1)

    11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

    Option 2)

    6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

    Option 3)

    33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

    Option 4)

    67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

    How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

    Option 1)

    0.02

    Option 2)

    3.125 × 10-2

    Option 3)

    1.25 × 10-2

    Option 4)

    2.5 × 10-2

    If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

    Option 1)

    decrease twice

    Option 2)

    increase two fold

    Option 3)

    remain unchanged

    Option 4)

    be a function of the molecular mass of the substance.

    With increase of temperature, which of these changes?

    Option 1)

    Molality

    Option 2)

    Weight fraction of solute

    Option 3)

    Fraction of solute present in water

    Option 4)

    Mole fraction.

    Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

    Option 1)

    twice that in 60 g carbon

    Option 2)

    6.023 × 1022

    Option 3)

    half that in 8 g He

    Option 4)

    558.5 × 6.023 × 1023

    A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

    Option 1)

    less than 3

    Option 2)

    more than 3 but less than 6

    Option 3)

    more than 6 but less than 9

    Option 4)

    more than 9

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    A career as a merchandiser requires one to promote specific products and services of one or different brands, to increase the in-house sales of the store. Merchandising job focuses on enticing the customers to enter the store and hence increasing their chances of buying a product. Although the buyer is the one who selects the lines, it all depends on the merchandiser on how much money a buyer will spend, how many lines will be purchased, and what will be the quantity of those lines. In a career as merchandiser, one is required to closely work with the display staff in order to decide in what way a product would be displayed so that sales can be maximised. In small brands or local retail stores, a merchandiser is responsible for both merchandising and buying. 

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    Procurement Manager

    The procurement Manager is also known as  Purchasing Manager. The role of the Procurement Manager is to source products and services for a company. A Procurement Manager is involved in developing a purchasing strategy, including the company's budget and the supplies as well as the vendors who can provide goods and services to the company. His or her ultimate goal is to bring the right products or services at the right time with cost-effectiveness. 

    2 Jobs Available
    Production Planner

    Individuals who opt for a career as a production planner are professionals who are responsible for ensuring goods manufactured by the employing company are cost-effective and meets quality specifications including ensuring the availability of ready to distribute stock in a timely fashion manner. 

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    Information Security Manager

    Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack 

    3 Jobs Available
    Computer Programmer

    Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

    3 Jobs Available
    Product Manager

    A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

    3 Jobs Available
    ITSM Manager

    ITSM Manager is a professional responsible for heading the ITSM (Information Technology Service Management) or (Information Technology Infrastructure Library) processes. He or she ensures that operation management provides appropriate resource levels for problem resolutions. The ITSM Manager oversees the level of prioritisation for the problems, critical incidents, planned as well as proactive tasks. 

    3 Jobs Available
    .NET Developer

    .NET Developer Job Description: A .NET Developer is a professional responsible for producing code using .NET languages. He or she is a software developer who uses the .NET technologies platform to create various applications. Dot NET Developer job comes with the responsibility of  creating, designing and developing applications using .NET languages such as VB and C#. 

    2 Jobs Available
    Corporate Executive

    Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

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    DevOps Architect

    A DevOps Architect is responsible for defining a systematic solution that fits the best across technical, operational and and management standards. He or she generates an organised solution by examining a large system environment and selects appropriate application frameworks in order to deal with the system’s difficulties. 

    2 Jobs Available
    Cloud Solution Architect

    Individuals who are interested in working as a Cloud Administration should have the necessary technical skills to handle various tasks related to computing. These include the design and implementation of cloud computing services, as well as the maintenance of their own. Aside from being able to program multiple programming languages, such as Ruby, Python, and Java, individuals also need a degree in computer science.

    2 Jobs Available
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