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Mathematics Chapter 5 Data Handling

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NCERT Solution For Class 8 Mathematics

Data Handling Here is the CBSE Mathematics Chapter 5 for Class 8 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 8 Mathematics Data Handling Chapter 5 NCERT Solutions for Class 8 Mathematics Data Handling Chapter 5 The following is a summary in Hindi and English for the academic year 2021-2022. You can save these solutions to your computer or use the Class 8 Mathematics.

Question 1

30	18	27	15	25	28	15	30
35	36	25	30	20	28	17	30
36	35	35	18	30	17	30
25	36	28	25	25	18	16

30	39	58	17	34	50	23	37
42	49	55	59	19	28	47	49
18	60	56	36	58	35	55	37
25	34	39	61	53	33	36	53
61	62	39	53	21	18	28	23

Type of viewers	Percentage
Sports viewers	25%
News viewers	15%
Information- viewers	10%
Entertainment viewers	50%

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

30	18	27	15	25	28	15	30
35	36	25	30	20	28	17	30
36	35	35	18	30	17	30
25	36	28	25	25	18	16

30	39	58	17	34	50	23	37
42	49	55	59	19	28	47	49
18	60	56	36	58	35	55	37
25	34	39	61	53	33	36	53
61	62	39	53	21	18	28	23

Mathematics Chapter 5 Data Handling

NCERT Solution For Class 8 Mathematics

Following are the marks scored by 30 students in a test out of 40 marks. Using tally marks prepare a frequency table: 30 18 27 15 25 28 15 30 35 36 25 30 20 28 17 30 36 35 35 18 30 17 30 25 36 28 25 25 18 16

Present the following data in the form of a grouped frequency distribution table having 6 classes of equal size (one of the class being 40–48): 30 39 58 17 34 50 23 37 42 49 55 59 19 28 47 49 18 60 56 36 58 35 55 37 25 34 39 61 53 33 36 53 61 62 39 53 21 18 28 23

Draw an appropriate graph to represent the given information.

Draw an appropriate graph to represent the given information.

Draw an appropriate graph to represent the given information.Percentage wins in ODI by 8 top cricket teams.

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

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, 835, 836, 878, 840, 868, 890, 806, 840Using tally marks make a frequency table with intervals as 800–810, 810-820 and so on.

Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions.(i) Which group has the maximum number of workers?(ii) How many workers earn Rs 850 and more?(iii) How many workers earn less than Rs 850?

Read the following bar-graph and answer the following questions. (i) What is the information given by the double bar graph?(ii) In which subject has the performance improved the most?(iii) In which subject the performance deteriorated?(iv) In which subject is the performance at par?

A group of students was asked for their favorite subject. The results were listed as under: Answer the following questions:(i) Which is the most liked subject?(ii) Which is the least liked subject?

Read the following histogram and answer the questions given below:(i) How many teachers are of age 45 years or more but less than 50 years?(ii) How many teachers are of age less than 35 years?

Look at the following circle graph and answer the questions given below:(i) Find the fraction of the circle representing each of these given information.(ii) What is the central angle corresponding to the activities “Play and Home work” ?

On a particular day, the sales (in rupees) of different items of a store are given below: Draw a pie-chart for the above data.

Each of the following pie charts gives you a different piece of information about your class. Find the fraction of the circle representing each of these information.

Answer the following questions based on the pie chart given.(i) Which type of programmes are viewed the most?(ii) Which two types of programmes have number of viewers equal to those watching sports channels?

Draw a pie chart of the data given below. The time spent by a child during a day. Sleep - 8 hours School - 6 hours Home work - 4 hours Play - 4 hours others - 2 hours

Which form of graph would be appropriate to display the following data.Production of food grains of a state.

Which form of graph would be appropriate to display the following data.Choice of food for a group of people.

Which form of graph would be appropriate to display the following data. The daily income of a group of a factory workers.

A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer. (i) Which season got the most votes?(ii) Find the central angle of each sector.(iii) Draw a pie chart to show this information.

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

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

Read the following circle graph and answer the questions given below:The time spent by a child during a day:(i) On which activity maximum number of hours are spent?(ii) On which two activities does he spend equal number of hours?(iii) Find the central angles for each sector of activities.

Read the following circle graph and answer the questions given below:(i) In which age group are the maximum number of people?(ii) How many people are there is the ‘0-14 years’ group?(iii) Find the central angle of the sector corresponding to the age group ‘15-60 years'.

The favourate flavours of ice-creams for students of a school is given in percentages as follows:Represent the data in a pie chart.

On a particular day, the sales (in rupees) of various items of baker's shop are given below. Draw a pie chart for this data:ordinary bread : 320fruit bread : 80biscuits : 120cakes and pastries : 160others : 40_____________________________________Total : 720_____________________________________

If you try to start a scooter, what are the possible outcomes?

When a die is thrown, what are the six possible outcomes?

When you spin the wheel shown, what are the possible outcomes? List them.(Outcome here means the sector at which the pointer stops).

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.

In throwing a die: (a) Does the first player have a greater chance of getting a six? (b) Would the player who played after him have a lesser chance of getting a six? (c) Suppose the second player got a six. Does it mean that the third player would not have a chance of getting a six?

Suppose you spin the wheel (i) List the number of outcomes of getting a green sector and not getting a green sector on this wheel. (ii) Find the probability of getting a green sector. (iii) Find the probability of not getting a green sector.

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

List the outcomes you can see in these experiments.Tossing two coins together.

When a die is thrown, list the outcome of an event of getting(a) a prime number (b) not a prime number

When a die is thrown, list the outcome of an event of getting(a) a number greater than 5 (b) a number not greater than 5.

Find the probability of the pointer stopping on D in (Question l-(a))?

Find the probability of getting an ace from a well shuffled deck of 52 playing cards?

Find the probability of getting a red apple. (See figure below).

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 getting a number 6?

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 getting a number less than 6?

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 getting a number greater than 6?

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 getting a 1-digit number?

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?

Find the probabilities of the events given in Question 2.

List the possible outcomes in the adjoining spinning wheel.

A die is thrown. List the possible outcomes.

What is probability of getting a factor of 6?

What is the probability of getting a number greater than 6?

(i) Find the number of outcomes of getting a sector containing G.(ii) What is the probability of getting a sector containing R?

A bag has 4-red balls and 2 yellow balls such that the balls are identical in all repeats other than colour. A ball is drawn from the bag without looking into the bag. What is the probability of getting yellow ball?

Given below are the marks obtained by 30 students of a class in a test.10, 8, 12, 17, 19, 17, 41, 40, 12, 46, 37, 17, 1, 9, 21, 13, 48, 12, 21, 19, 33, 5, 38, 39, 19, 23, 2, 6, 30, 27.Using tally marks prepare a frequency table such that 20-30 is a class interval.

Look at the adjoining circle graph and answer the following questions.(i) What is the central angle corresponding to the activities "school and home work"?(ii) Find the fraction of the circle representing each of these given information.

On a particular day, the sales (in rupees) of different items of a store are given below: Calculators : 8000 Cell phones : 22000 Cell phones batteries : 4000 Cell phones chargers : 2000Draw a pie-chart for the above data.

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

When a die is thrown, list the outcomes of an event of getting:(i) A number less than 5.(ii) A composite number.(iii) A prime number.(iv) A number more than 3.

What is the number of students of Class VIII whose marks obtained in an examination are expressed in the following frequency distribution.

The marks scored by 20 students in a test are given below:84, 57, 53, 89, 41, 57, 47, 64, 58, 44, 53, 72, 51, 78, 71, 62, 56, 68, 54, 42Complete the following frequency table: (i) What is the upper limit of 40–50?(ii) What is the upper limit of 70–80?(iii) What is the class size?

Number of workshops organized by a school in different areas during the last six years are as follows:Draw a histogram representing the data.

Draw a histogram for the daily earnings of 30 general stores given in the following table:

The number of students admitted in different faculties of a college are given below:Represent the above information by a pie-chart.

Draw a pie-chart for the following data of expenditure on various items in a family.

A die is thrown. What is the probability of getting:(i) an even number?(ii) an odd number?(iii) A number between 3 and 6?

What is the probability of a number selected from the numbers 1, 2, 3, ..... 20 such that it is a prime number?

A bag contains 3 blue and 2 red balls. A ball is drawn at random. What is the probability of drawing a red ball?

What is the mid-value of a class is called the frequency? class mark? tally mark?

The number of times an obsen'ation occurs in the given data is called frequency upper class limit lower limit

The class mark of the class 25–30 is 25 30 26.5.

The lower limit of the class 3.5–10.5 is 3.5 10.5 7

The range of the data: 5, 15, 25, 18, 4, 6. 16, 20. 14 is 21 4 25

What is the class size of 25-35? 30 10 25

What is the probability of getting a head, when a coin is tossed? 1/2 1 2

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Entrance Exams Preparation

Following are the marks scored by 30 students in a test out of 40 marks. Using tally marks prepare a frequency table:

30

18

27

15

25

28

15

30

35

36

25

30

20

28

17

30

36

35

35

18

30

17

30

25

36

28

25

25

18

16

Draw an appropriate graph to represent the given information.
Percentage wins in ODI by 8 top cricket teams.

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

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, 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.

Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions.
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?

Read the following bar-graph and answer the following questions.

(i) What is the information given by the double bar graph?
(ii) In which subject has the performance improved the most?
(iii) In which subject the performance deteriorated?
(iv) In which subject is the performance at par?

A group of students was asked for their favorite subject. The results were listed as under:

Answer the following questions:
(i) Which is the most liked subject?
(ii) Which is the least liked subject?

Read the following histogram and answer the questions given below:

(i) How many teachers are of age 45 years or more but less than 50 years?
(ii) How many teachers are of age less than 35 years?

Look at the following circle graph and answer the questions given below:

(i) Find the fraction of the circle representing each of these given information.
(ii) What is the central angle corresponding to the activities “Play and Home work” ?

On a particular day, the sales (in rupees) of different items of a store are given below:

Draw a pie-chart for the above data.

Answer the following questions based on the pie chart given.
(i) Which type of programmes are viewed the most?
(ii) Which two types of programmes have number of viewers equal to those watching sports channels?

Draw a pie chart of the data given below.
The time spent by a child during a day.
Sleep - 8 hours
School - 6 hours
Home work - 4 hours
Play - 4 hours
others - 2 hours

Which form of graph would be appropriate to display the following data.
Production of food grains of a state.

Which form of graph would be appropriate to display the following data.
Choice of food for a group of people.

Which form of graph would be appropriate to display the following data.
The daily income of a group of a factory workers.

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

(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii) Draw a pie chart to show this information.

Read the following circle graph and answer the questions given below:
The time spent by a child during a day:
(i) On which activity maximum number of hours are spent?
(ii) On which two activities does he spend equal number of hours?
(iii) Find the central angles for each sector of activities.

Read the following circle graph and answer the questions given below:
(i) In which age group are the maximum number of people?
(ii) How many people are there is the ‘0-14 years’ group?
(iii) Find the central angle of the sector corresponding to the age group ‘15-60 years'.

The favourate flavours of ice-creams for students of a school is given in percentages as follows:

Represent the data in a pie chart.

On a particular day, the sales (in rupees) of various items of baker's shop are given below. Draw a pie chart for this data:

ordinary bread : 320
fruit bread : 80
biscuits : 120
cakes and pastries : 160
others : 40
_
Total : 720
_

When you spin the wheel shown, what are the possible outcomes? List them.
(Outcome here means the sector at which the pointer stops).

In throwing a die:
(a) Does the first player have a greater chance of getting a six?
(b) Would the player who played after him have a lesser chance of getting a six?
(c) Suppose the second player got a six. Does it mean that the third player would not have a chance of getting a six?

Suppose you spin the wheel
(i) List the number of outcomes of getting a green sector and not getting a green sector on this wheel.
(ii) Find the probability of getting a green sector.
(iii) Find the probability of not getting a green sector.

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

List the outcomes you can see in these experiments.
Tossing two coins together.

When a die is thrown, list the outcome of an event of getting
(a) a prime number (b) not a prime number

When a die is thrown, list the outcome of an event of getting
(a) a number greater than 5 (b) a number not greater than 5.

(i) Find the number of outcomes of getting a sector containing G.

(ii) What is the probability of getting a sector containing R?

Given below are the marks obtained by 30 students of a class in a test.
10, 8, 12, 17, 19, 17, 41, 40, 12, 46, 37, 17, 1, 9, 21, 13, 48, 12, 21, 19, 33, 5, 38, 39, 19, 23, 2, 6, 30, 27.
Using tally marks prepare a frequency table such that 20-30 is a class interval.

Look at the adjoining circle graph and answer the following questions.
(i) What is the central angle corresponding to the activities "school and home work"?
(ii) Find the fraction of the circle representing each of these given information.

On a particular day, the sales (in rupees) of different items of a store are given below:
Calculators : 8000
Cell phones : 22000
Cell phones batteries : 4000
Cell phones chargers : 2000
Draw a pie-chart for the above data.

When a die is thrown, list the outcomes of an event of getting:
(i) A number less than 5.
(ii) A composite number.
(iii) A prime number.
(iv) A number more than 3.

The marks scored by 20 students in a test are given below:
84, 57, 53, 89, 41, 57, 47, 64, 58, 44, 53, 72, 51, 78, 71, 62, 56, 68, 54, 42

Complete the following frequency table:

(i) What is the upper limit of 40–50?
(ii) What is the upper limit of 70–80?
(iii) What is the class size?

Number of workshops organized by a school in different areas during the last six years are as follows:

Draw a histogram representing the data.

The number of students admitted in different faculties of a college are given below:

Represent the above information by a pie-chart.

A die is thrown. What is the probability of getting:
(i) an even number?
(ii) an odd number?
(iii) A number between 3 and 6?

What is the mid-value of a class is called the
frequency?
class mark?
tally mark?

The number of times an obsen'ation occurs in the given data is called
frequency
upper class limit
lower limit

The class mark of the class 25–30 is
25
30
26.5.

The lower limit of the class 3.5–10.5 is
3.5
10.5
7

The range of the data: 5, 15, 25, 18, 4, 6. 16, 20. 14 is
21
4
25

What is the class size of 25-35?
30
10
25

What is the probability of getting a head, when a coin is tossed?
1/2
1
2

30	18	27	15	25	28	15	30
35	36	25	30	20	28	17	30
36	35	35	18	30	17	30
25	36	28	25	25	18	16

30	39	58	17	34	50	23	37
42	49	55	59	19	28	47	49
18	60	56	36	58	35	55	37
25	34	39	61	53	33	36	53
61	62	39	53	21	18	28	23