Class 6 Maths Notes for Data Handling
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Page 1
NOTES
CLASS 6
MATHS
Study Material
DOWNLOAD PDF
CLASS 6
MATHS
Study Material
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Page 2
DATA HANDLING
I. Important Concepts/ Results
Data: A data is a collection of numbers gathered to give some information.
Organisation of data: To get particular information from the given data quickly, the data can be arranged in a
tabular form using tally marks.
Example: Ekta is asked to collect data for size of shoes of students in her Class VI. Her findings are recorded in
the manner shown below:
5, 4, 7, 5, 6, 7, 6, 5, 6, 6, 5, 4, 5, 6, 8, 7, 4, 6, 5, 6, 4, 6, 5, 7, 6, 7, 5, 7, 6, 4, 8, 7
Solution: Ekta prepared a table using tally marks.
Shoe size Tally marks Number of students
4 |||| 5
5 |||| ||| 8
6 |||| |||| 10
7 |||| || 7
8 || 2
Pictograph: A pictograph represents data through pictures of objects. It helps answer the questions on the data
at a glance.
Example: The colours of fridges preferred by people living in a locality are shown by the following pictograph:
Colours Number of people = 10 people
Blue
Green
Red
White
(a) Find the number of people preferring green colour.
(b) How many people liked red colour?
Solution: (a) Green colour is preferred by 20 people. [ = 10, so 2 pictures indicate 2 × 10 people].
(b) Red colour is preferred by 30 people. [ = 10, so 3 pictures indicate 3 × 10 people].
II. Some Illustrations/ Examples (with solution)
66
I. Important Concepts/ Results
Data: A data is a collection of numbers gathered to give some information.
Organisation of data: To get particular information from the given data quickly, the data can be arranged in a
tabular form using tally marks.
Example: Ekta is asked to collect data for size of shoes of students in her Class VI. Her findings are recorded in
the manner shown below:
5, 4, 7, 5, 6, 7, 6, 5, 6, 6, 5, 4, 5, 6, 8, 7, 4, 6, 5, 6, 4, 6, 5, 7, 6, 7, 5, 7, 6, 4, 8, 7
Solution: Ekta prepared a table using tally marks.
Shoe size Tally marks Number of students
4 |||| 5
5 |||| ||| 8
6 |||| |||| 10
7 |||| || 7
8 || 2
Pictograph: A pictograph represents data through pictures of objects. It helps answer the questions on the data
at a glance.
Example: The colours of fridges preferred by people living in a locality are shown by the following pictograph:
Colours Number of people = 10 people
Blue
Green
Red
White
(a) Find the number of people preferring green colour.
(b) How many people liked red colour?
Solution: (a) Green colour is preferred by 20 people. [ = 10, so 2 pictures indicate 2 × 10 people].
(b) Red colour is preferred by 30 people. [ = 10, so 3 pictures indicate 3 × 10 people].
II. Some Illustrations/ Examples (with solution)
66
Page 3
i) MCQs
1. The frequency of the tally mark- |||| ||||
a.) 6 b.) 5 c.) 10 d.) 7
Ans.: c.) 10
2. Representation of data in the form of picture is called ______________
a.) Bar graph b.)Pictograph c.)Histogram d.) None of these
Ans.: b.) Pictograph
3. Listing of the data in the form in which these are collected are known as
a.) Raw data b.)Arrayeddatac.)Secondary data d.) Organised data
Ans.: a.) Raw data
4. The number of times a particular data occurs in the observation is called as
a.) Frequency b.) Mean c.) Collection of data d.) None of these
Ans.: a.) Frequency
ii) Case based study
1. The following pictograph shows the number of absentees in a class of 30 students during the previous week.
Read the table and answer the questions given below:
Days
Number of absentees = 4 students
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
i.) On which day were the maximum numbers of students absent?
a. Thursday b. Friday c. Wednesday d. Saturday
ii.) Which day had full attendance?
a. Thursday b. Friday c. Wednesday d. Saturday
iii.) What was the total number of absentees in that week?
a. 600 b. 125 c. 50 d. 100
iv.) What was the total number of absentees on Tuesday?
a. 20 b. 24 c. 50 d. 10
Answers:
67
1. The frequency of the tally mark- |||| ||||
a.) 6 b.) 5 c.) 10 d.) 7
Ans.: c.) 10
2. Representation of data in the form of picture is called ______________
a.) Bar graph b.)Pictograph c.)Histogram d.) None of these
Ans.: b.) Pictograph
3. Listing of the data in the form in which these are collected are known as
a.) Raw data b.)Arrayeddatac.)Secondary data d.) Organised data
Ans.: a.) Raw data
4. The number of times a particular data occurs in the observation is called as
a.) Frequency b.) Mean c.) Collection of data d.) None of these
Ans.: a.) Frequency
ii) Case based study
1. The following pictograph shows the number of absentees in a class of 30 students during the previous week.
Read the table and answer the questions given below:
Days
Number of absentees = 4 students
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
i.) On which day were the maximum numbers of students absent?
a. Thursday b. Friday c. Wednesday d. Saturday
ii.) Which day had full attendance?
a. Thursday b. Friday c. Wednesday d. Saturday
iii.) What was the total number of absentees in that week?
a. 600 b. 125 c. 50 d. 100
iv.) What was the total number of absentees on Tuesday?
a. 20 b. 24 c. 50 d. 10
Answers:
67
Page 4
i.) b. Friday ii.) c. Wednesday iii.) d. 100 iv.) b. 24
iii) Short answer type questions
1. Following table shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Read
the table and answer the questions given bellow:
Years No. of bicycles
manufactured
1998 800
1999 600
2000 900
2001 1100
2002 1200
i.)In which year were the maximum numbers of bicycles manufactured?
ii.)In which year were the minimum numbers of bicycles manufactured?
iii.)How many bicycles were manufactured from 1998 to 2002?
Answers: i.) 2002ii.) 1999iii.) 800+600+900+1100+1200= 4600
2. Following is the pictograph of the number of Cars manufactured by a factory in a particular week.
Days Number of Cars manufactured =300
Cars
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Answer the following questions based on the pictograph given above:
i.) On which day were the least number of Auto manufactured?
ii.)How many cars were manufactured on Thursday?
Answers: i.) Saturday ii.) 1200 [4 X 300( =300)]
3. The sale of electric bulbs on different days of a month is shown below. From the following above pictograph:
68
iii) Short answer type questions
1. Following table shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Read
the table and answer the questions given bellow:
Years No. of bicycles
manufactured
1998 800
1999 600
2000 900
2001 1100
2002 1200
i.)In which year were the maximum numbers of bicycles manufactured?
ii.)In which year were the minimum numbers of bicycles manufactured?
iii.)How many bicycles were manufactured from 1998 to 2002?
Answers: i.) 2002ii.) 1999iii.) 800+600+900+1100+1200= 4600
2. Following is the pictograph of the number of Cars manufactured by a factory in a particular week.
Days Number of Cars manufactured =300
Cars
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Answer the following questions based on the pictograph given above:
i.) On which day were the least number of Auto manufactured?
ii.)How many cars were manufactured on Thursday?
Answers: i.) Saturday ii.) 1200 [4 X 300( =300)]
3. The sale of electric bulbs on different days of a month is shown below. From the following above pictograph:
68
Page 5
Months Number of electric bulb =5 bulbs
January
February
March
April
i.) Find the number of electric bulb purchased for a lodging house during February
ii) In which month the sale of electric bulb is maximum.
Answers: 1) 20 bulbs [5 X 4 = 20]
2) March
iv) Long answer type questions
1. The following pictograph shows the number of Bus manufactured during a week. Read the table and answer
the questions given bellow:
Days Number of bus manufactured =100 buses
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
i.) On which day were the least number of buses manufactured?
ii.) Find the number of buses manufactured on Wednesday.
iii.) On which day was the maximum number of buses manufactured?
iv.) Find out the approximate number of buses manufactured in the particular week?
v.) On which days were the same number of buses manufactured?
Answers: i) Monday ii) 700 [7 × 100] iii) Wednesday iv) (3 + 4 + 7 + 5 + 6 + 4) × 100 = 2900
v) Tuesday and Saturday
2. Mohan threw a dice 40 times and noted the number appearing each time as shown below:
69
January
February
March
April
i.) Find the number of electric bulb purchased for a lodging house during February
ii) In which month the sale of electric bulb is maximum.
Answers: 1) 20 bulbs [5 X 4 = 20]
2) March
iv) Long answer type questions
1. The following pictograph shows the number of Bus manufactured during a week. Read the table and answer
the questions given bellow:
Days Number of bus manufactured =100 buses
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
i.) On which day were the least number of buses manufactured?
ii.) Find the number of buses manufactured on Wednesday.
iii.) On which day was the maximum number of buses manufactured?
iv.) Find out the approximate number of buses manufactured in the particular week?
v.) On which days were the same number of buses manufactured?
Answers: i) Monday ii) 700 [7 × 100] iii) Wednesday iv) (3 + 4 + 7 + 5 + 6 + 4) × 100 = 2900
v) Tuesday and Saturday
2. Mohan threw a dice 40 times and noted the number appearing each time as shown below:
69
Page 6
1 3 5 6 6 3 5 4 1 6
2 5 3 4 6 1 5 5 6 1
1 2 2 3 5 2 4 5 5 6
5 1 6 2 3 5 2 4 1 5
i.)Make a table and enter the data using tally marks.
ii.) Find the number that appeared.
(a) The minimum number of times
(b) The maximum number of times
(c) Find those numbers that appear an equal
number of times.
Number on Tally marks Number of times
Answers: i.) Dice appeared
ii.) a.) 4 1 |||| || 7
b.) 5 2 |||| | 6
c.) 1, 6 3 |||| 5
III. Questions for Practice 4 |||| 4
i) MCQs 5 |||| |||| | 11
1. The frequency of the tally mark - |||| 6 |||| || 7
(a) 6 (b) 4 (c) 10 (d)7
2. The frequency of the tally mark - |||| |||| ||
(a) 6 (b) 13 (c) 12 (d) 4
3. The tally mark for the frequency9 is
(a) ||| (b) |||| (c) |||| |||| (d) |||| |||
4. Which observation in the following data has maximum frequency?
1, 1, 2, 4, 3, 2, 1, 2, 2, 4
(a) 4 (b) 3 (c) 1 (d) 2
5. A pictograph represents data in the form of …………………. objects or parts of object.
(a) pictures (b) vertical bars (c) both (d) none
ii) Short answer type questions
70
2 5 3 4 6 1 5 5 6 1
1 2 2 3 5 2 4 5 5 6
5 1 6 2 3 5 2 4 1 5
i.)Make a table and enter the data using tally marks.
ii.) Find the number that appeared.
(a) The minimum number of times
(b) The maximum number of times
(c) Find those numbers that appear an equal
number of times.
Number on Tally marks Number of times
Answers: i.) Dice appeared
ii.) a.) 4 1 |||| || 7
b.) 5 2 |||| | 6
c.) 1, 6 3 |||| 5
III. Questions for Practice 4 |||| 4
i) MCQs 5 |||| |||| | 11
1. The frequency of the tally mark - |||| 6 |||| || 7
(a) 6 (b) 4 (c) 10 (d)7
2. The frequency of the tally mark - |||| |||| ||
(a) 6 (b) 13 (c) 12 (d) 4
3. The tally mark for the frequency9 is
(a) ||| (b) |||| (c) |||| |||| (d) |||| |||
4. Which observation in the following data has maximum frequency?
1, 1, 2, 4, 3, 2, 1, 2, 2, 4
(a) 4 (b) 3 (c) 1 (d) 2
5. A pictograph represents data in the form of …………………. objects or parts of object.
(a) pictures (b) vertical bars (c) both (d) none
ii) Short answer type questions
70
Page 7
1. The following are the number of electric bulbs purchased for a lodging house during the first six months of a
year. Represent the details by a pictograph.
Months Number of bulbs
January 20
February 30
March 40
2. In a Science test, the following marks were obtained by 40 students. Arrange these marks in a table using
tally marks.
8, 1, 3, 7, 6, 5, 5, 4, 4, 2, 4, 5, 3, 7
3. The choices of the fruits of 20 students in a class are as follows:
A, M, O, O, O, B, G, M, M, A, M, B, G, B, O, G, O, A, M, O
where A, B, G, M and 0 stands for the fruits Apple, Banana, Grapes, Mango and Orange, respectively.
Which three fruits are liked by an equal number of students?
4. According to the data of question 3, which fruit is liked by most of the students?
5. In a pictograph if a symbol represents 30 chapattis then the symbol represents how many chapattis?
6. In a pictograph, if a symbol represents 5 flowers in a basket, then stands for how many flowers?
7. 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.
8. Represent 17 in the form of tally marks.
9. Following pictograph represents some names of girls listed in the telephone directory of a city.
Names Number of girls =10 girls
Anisha
Jyotsna
71
year. Represent the details by a pictograph.
Months Number of bulbs
January 20
February 30
March 40
2. In a Science test, the following marks were obtained by 40 students. Arrange these marks in a table using
tally marks.
8, 1, 3, 7, 6, 5, 5, 4, 4, 2, 4, 5, 3, 7
3. The choices of the fruits of 20 students in a class are as follows:
A, M, O, O, O, B, G, M, M, A, M, B, G, B, O, G, O, A, M, O
where A, B, G, M and 0 stands for the fruits Apple, Banana, Grapes, Mango and Orange, respectively.
Which three fruits are liked by an equal number of students?
4. According to the data of question 3, which fruit is liked by most of the students?
5. In a pictograph if a symbol represents 30 chapattis then the symbol represents how many chapattis?
6. In a pictograph, if a symbol represents 5 flowers in a basket, then stands for how many flowers?
7. 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.
8. Represent 17 in the form of tally marks.
9. Following pictograph represents some names of girls listed in the telephone directory of a city.
Names Number of girls =10 girls
Anisha
Jyotsna
71
Page 8
Ameena
Nancy
(a) How many girls have name „Nancy‟?
(b) How many girls have names Ameena and Anisha?
10. Annual expenditure of a company in the year 2022-23 is given below:
Terms Expenditure (in lakh rupees)
Salaries of employees 60
Advertisement 5
Purchase of machinery 70
Electricity and water 20
Transportation 15
(a) The maximum expenditure of the company is where?
(b) How much money does the company spend in the „Salary of employees‟?
iii) Long answer type questions
1. The number of scouts in a school is depicted by the following pictograph:
Class Number of scouts = 20 scouts
VI
VII
VIII
IX
X (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?
72
Nancy
(a) How many girls have name „Nancy‟?
(b) How many girls have names Ameena and Anisha?
10. Annual expenditure of a company in the year 2022-23 is given below:
Terms Expenditure (in lakh rupees)
Salaries of employees 60
Advertisement 5
Purchase of machinery 70
Electricity and water 20
Transportation 15
(a) The maximum expenditure of the company is where?
(b) How much money does the company spend in the „Salary of employees‟?
iii) Long answer type questions
1. The number of scouts in a school is depicted by the following pictograph:
Class Number of scouts = 20 scouts
VI
VII
VIII
IX
X (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?
72
Page 9
2. The following table shows the daily production of T.V. sets in an industry for 7 days of a week:
Days Number of icons
Mon 300
Tue 400
Wed 150
Thurs 250
Fri 100
Sat 350
Sun 200
Represent the above information by a pictograph.
3. The following table shows the number of cars sold by five dealers in a particular month:
Dealer Cars sold
Sanghi Brothers 60
Rukmani Motors 40
Bhagirath Motors 20
Patel Motors 15
Kasliwal Honda 10
Represent the above information by a pictograph.
4. 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.
iv) Case based study
1. Answer the following questions by reading the pictograph given
The below pictograph shows the numbers of bicycles sold in the particular year from 2000-2004
Year Number of bicycles sold = 1500 bicycles
2000
2001
2002
73
Days Number of icons
Mon 300
Tue 400
Wed 150
Thurs 250
Fri 100
Sat 350
Sun 200
Represent the above information by a pictograph.
3. The following table shows the number of cars sold by five dealers in a particular month:
Dealer Cars sold
Sanghi Brothers 60
Rukmani Motors 40
Bhagirath Motors 20
Patel Motors 15
Kasliwal Honda 10
Represent the above information by a pictograph.
4. 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.
iv) Case based study
1. Answer the following questions by reading the pictograph given
The below pictograph shows the numbers of bicycles sold in the particular year from 2000-2004
Year Number of bicycles sold = 1500 bicycles
2000
2001
2002
73
Page 10
2003
2004
(a) In which year maximum number of bicycles was sold?
i.2001 ii. 2002 iii. 2003 iv. 2004
(b) In which year minimum number of bicycles was sold?
i.2001 ii. 2002 iii. 2003 iv. 2004
(c) How many bicycles were sold in the year 2002?
i. 3000 ii. 4000 iii.4500 iv. 5000
2. The table shows the number of children in each of the 35 families surveyed.
Number of children Tally Marks Number of families
2 |||| |||| |||| 15
3 |||| |||| 10
4 |||| | 6
(a) How many families have
5 |||| 4
less than 4 children?
(b) How many children does the maximum number of families have?
(c) Find the difference in the number of families having 2 and 4 children.
IV. ANSWERS
i. MCQs
1. (b) 42. (c) 123. (c) |||| ||||4. (d) 25. (a) pictures
ii. Short answer type questions
1.
Months Number of electric bulb =10 bulbs
January
February
March
2.
74
2004
(a) In which year maximum number of bicycles was sold?
i.2001 ii. 2002 iii. 2003 iv. 2004
(b) In which year minimum number of bicycles was sold?
i.2001 ii. 2002 iii. 2003 iv. 2004
(c) How many bicycles were sold in the year 2002?
i. 3000 ii. 4000 iii.4500 iv. 5000
2. The table shows the number of children in each of the 35 families surveyed.
Number of children Tally Marks Number of families
2 |||| |||| |||| 15
3 |||| |||| 10
4 |||| | 6
(a) How many families have
5 |||| 4
less than 4 children?
(b) How many children does the maximum number of families have?
(c) Find the difference in the number of families having 2 and 4 children.
IV. ANSWERS
i. MCQs
1. (b) 42. (c) 123. (c) |||| ||||4. (d) 25. (a) pictures
ii. Short answer type questions
1.
Months Number of electric bulb =10 bulbs
January
February
March
2.
74
Page 11
Marks obtained Tally marks Number of students
1 | 1
2 | 1
3 || 2
4 ||| 3
5 ||| 3
6 | 1
7 || 2
8 | 1
3. A, B and G4. Orange5. 15 chapattis6. 15 flowers
7.
Future profession Tally marks Number of students
Doctor |||| |||| 10
Engineer |||| | 6
Officer |||| | 6
Pilot |||| ||| 8
8. |||| |||| |||| ||
9. (a) 35 girls, (b) 55 girls
10. (a) Purchase of machinery, (b) 60,00,000
iii. Long answer type questions
1. (a) X, (b) VIII, (c) 80, (d) VI, (e) 3,200
2.
Days Number of icons =50 TVs
Monday
Tuesday
Wednesday
Thursday
75
1 | 1
2 | 1
3 || 2
4 ||| 3
5 ||| 3
6 | 1
7 || 2
8 | 1
3. A, B and G4. Orange5. 15 chapattis6. 15 flowers
7.
Future profession Tally marks Number of students
Doctor |||| |||| 10
Engineer |||| | 6
Officer |||| | 6
Pilot |||| ||| 8
8. |||| |||| |||| ||
9. (a) 35 girls, (b) 55 girls
10. (a) Purchase of machinery, (b) 60,00,000
iii. Long answer type questions
1. (a) X, (b) VIII, (c) 80, (d) VI, (e) 3,200
2.
Days Number of icons =50 TVs
Monday
Tuesday
Wednesday
Thursday
75
Page 12
Friday
Saturday
Sunday
3.
Dealer Number of icons =10 cars
Sanghi Brothers
Rukmani Motors
Bhagirath Motors
Patel Motors
Kasliwal Honda
4.
Grades Tally marks Number of
students
A ||| 3
B |||| ||| 7
C |||| |||| 10
D |||| | 6
E |||| 4
iv Case based study
1. (a) iv, (b) iii, (c) iii
2. (a) 25 , (b) 2 , (c) 9
76
Saturday
Sunday
3.
Dealer Number of icons =10 cars
Sanghi Brothers
Rukmani Motors
Bhagirath Motors
Patel Motors
Kasliwal Honda
4.
Grades Tally marks Number of
students
A ||| 3
B |||| ||| 7
C |||| |||| 10
D |||| | 6
E |||| 4
iv Case based study
1. (a) iv, (b) iii, (c) iii
2. (a) 25 , (b) 2 , (c) 9
76
Page 13
V. CHAPTER TESTS
TEST 1 (Data Handling)
M.M.: 20 TIME: 40 MIN.
SECTION A (Each question carries 1 marks)
MCQs:
Q.1 The frequency of 2 in the observation: 1, 2, 4, 5, 2, 6, 7, 2, 3, 2 is
(a) 1 (b) 2 (c) 3 (d) 4
Q.2 The tally marks for the data 4 is
(a) || (b) |||( c) |||| (d) |||||
Section B (Each question carries 2 marks)
Short answer type questions:
Q.3 Mohan threw a dice 15 times and recorded the number of appearing each time as shown below:
2,3,4,2,1,5,6,3,2,3,1,2,3,3,1
Find the numbers that appears maximum number of times.
Q.4 In the pictograph if the value of the symbol ♤ = 3. If this symbol ♤ occurs 4 times in the observation then
what will be its value?
Q.5 The colours of the T shirts preferred by the people living in the locality are shown by the following
pictograph:
Colours No. Of people =6 people
Blue
Green
Red
Find the number of people that preferring Green colour?
Section C (Each question carries 4 marks)
Q.6 In a Hindi test the following marks were obtained by 30 students:
8,9,3,4,5,6,5,7,8,9,5,6,7,3,8,6,8,9,5,4,6,5,7,8,7,7,6,7,8,5
Arrange these marks in a table using tally marks and answer the following questions:
(i)How many students obtained marks below 7?
(ii)Find how many students obtained marks equal to or less than 6?
77
TEST 1 (Data Handling)
M.M.: 20 TIME: 40 MIN.
SECTION A (Each question carries 1 marks)
MCQs:
Q.1 The frequency of 2 in the observation: 1, 2, 4, 5, 2, 6, 7, 2, 3, 2 is
(a) 1 (b) 2 (c) 3 (d) 4
Q.2 The tally marks for the data 4 is
(a) || (b) |||( c) |||| (d) |||||
Section B (Each question carries 2 marks)
Short answer type questions:
Q.3 Mohan threw a dice 15 times and recorded the number of appearing each time as shown below:
2,3,4,2,1,5,6,3,2,3,1,2,3,3,1
Find the numbers that appears maximum number of times.
Q.4 In the pictograph if the value of the symbol ♤ = 3. If this symbol ♤ occurs 4 times in the observation then
what will be its value?
Q.5 The colours of the T shirts preferred by the people living in the locality are shown by the following
pictograph:
Colours No. Of people =6 people
Blue
Green
Red
Find the number of people that preferring Green colour?
Section C (Each question carries 4 marks)
Q.6 In a Hindi test the following marks were obtained by 30 students:
8,9,3,4,5,6,5,7,8,9,5,6,7,3,8,6,8,9,5,4,6,5,7,8,7,7,6,7,8,5
Arrange these marks in a table using tally marks and answer the following questions:
(i)How many students obtained marks below 7?
(ii)Find how many students obtained marks equal to or less than 6?
77
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Q.7 The sale of kites on different days of a week is shown below:
Days Number of kites = 4 kites
Monday
Tuesday
Wednesday
Thursday
Friday
Observe the pictograph and answer the following questions:
(i) How many kites were sold on Friday?
(ii) On which day the maximum number of kites was sold?
(iii) On which day same number of kites was sold?
iv) On which day minimum number of kites was sold?
Q.8 The heights (in cm) of 30 students of class 8 are recorded as follows:
150,152,154,152,148,149,150,155,159,260
152,154,160,149 ,150,152 155,145,145,154
148,153,155,150 ,160,154 ,152,149,152,148
(i)Prepare a frequency table using tally marks (2 marks)
(ii)How many students have height 150 cm? (1 mark)
Find the difference between maximum height and minimum height of the students (1 mark)
TEST 2 (Data Handling)
M.M.: 30 TIME: 60 MIN.
SECTION A (Each question carries 1 marks)
MCQ:
Q.1 The frequency of 5 in the observation: 1, 2, 4 5, 2 6, 7,2,3,2 is
(a) 1 (b) 2 (c) 3 (d) 4
Q.2 The tally marks for the data 8 is(a) |||| (b) ||| (c) |||| ||| (d) |||||||
Section B (Each question carries 2 marks)
Very Short answer type questions:
Q.3 In the pictograph if the value of the symbol ◇ = 7 If this symbol ◇occurs 6 times in the observation then
what will be its value?
Q.4 The colours of the curtains preferred by the people living in the locality are shown by the following
pictograph:
Colours No. Of People =10 People
Grey
Blue
Brown
78
Days Number of kites = 4 kites
Monday
Tuesday
Wednesday
Thursday
Friday
Observe the pictograph and answer the following questions:
(i) How many kites were sold on Friday?
(ii) On which day the maximum number of kites was sold?
(iii) On which day same number of kites was sold?
iv) On which day minimum number of kites was sold?
Q.8 The heights (in cm) of 30 students of class 8 are recorded as follows:
150,152,154,152,148,149,150,155,159,260
152,154,160,149 ,150,152 155,145,145,154
148,153,155,150 ,160,154 ,152,149,152,148
(i)Prepare a frequency table using tally marks (2 marks)
(ii)How many students have height 150 cm? (1 mark)
Find the difference between maximum height and minimum height of the students (1 mark)
TEST 2 (Data Handling)
M.M.: 30 TIME: 60 MIN.
SECTION A (Each question carries 1 marks)
MCQ:
Q.1 The frequency of 5 in the observation: 1, 2, 4 5, 2 6, 7,2,3,2 is
(a) 1 (b) 2 (c) 3 (d) 4
Q.2 The tally marks for the data 8 is(a) |||| (b) ||| (c) |||| ||| (d) |||||||
Section B (Each question carries 2 marks)
Very Short answer type questions:
Q.3 In the pictograph if the value of the symbol ◇ = 7 If this symbol ◇occurs 6 times in the observation then
what will be its value?
Q.4 The colours of the curtains preferred by the people living in the locality are shown by the following
pictograph:
Colours No. Of People =10 People
Grey
Blue
Brown
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Page 15
Find the number of people that preferring blue coloured curtains?
Section C (Each questions carries 3 marks)
Q.5 The pictograph shows the numbers of goals scored by four soccer teams in a season.
Name of soccer teams Number of goals scored
= 4 goals
Mohan Bagan
East Bengal
Md. Sports Team
Observe the pictograph and answer the questions given below:
(a) Find the number of goals scored by East Bengal.
(b) Find the total number of goals scored in the season.
Q.6 A survey of 100 school students was done to find which activity they prefer to do in their free time:
Preferred activity Number of Students
Playing 45
Reading story books 10
Watching T.V. 30
Listening music 10
Painting 5
Represent the above data in the form of pictograph (take 1 symbol=5 students).
Q.7 The heights (in cm) of 30 students of class 8 are recorded as follows:
150,152,154,152,148,149,150,155,159,260
152,154,160,149 ,150,152 155,145,145,154
148,153,155,150 ,160,154 ,152,149,152,148
(i)Prepare a frequency table using tally marks (2 marks)
(ii)How many students have height 150 cm?(1 mark)
Q.8 The following table gives information about the circulation of newspaper (dailies) in a town in five
languages:
Languages English Hindi Tamil Punjabi Gujarati
Number of 2000 3000 1000 1500 500
newspapers
Prepare a pictograph of the above data using a symbol of your choice, each representing 1000 newspapers.
Section D (Each question carries 4 marks)
Q.9 In a Hindi test the following marks were obtained by 30 students:
8,9,3,4,5,6,5,7,8,9,5,6,7,3,8,6,8,9,5,4,6,5,7,8,7,7,6,7,8,5
Arrange these marks in a table using tally marks and answer the following questions:
(i)How many students obtained marks below 7?
79
Section C (Each questions carries 3 marks)
Q.5 The pictograph shows the numbers of goals scored by four soccer teams in a season.
Name of soccer teams Number of goals scored
= 4 goals
Mohan Bagan
East Bengal
Md. Sports Team
Observe the pictograph and answer the questions given below:
(a) Find the number of goals scored by East Bengal.
(b) Find the total number of goals scored in the season.
Q.6 A survey of 100 school students was done to find which activity they prefer to do in their free time:
Preferred activity Number of Students
Playing 45
Reading story books 10
Watching T.V. 30
Listening music 10
Painting 5
Represent the above data in the form of pictograph (take 1 symbol=5 students).
Q.7 The heights (in cm) of 30 students of class 8 are recorded as follows:
150,152,154,152,148,149,150,155,159,260
152,154,160,149 ,150,152 155,145,145,154
148,153,155,150 ,160,154 ,152,149,152,148
(i)Prepare a frequency table using tally marks (2 marks)
(ii)How many students have height 150 cm?(1 mark)
Q.8 The following table gives information about the circulation of newspaper (dailies) in a town in five
languages:
Languages English Hindi Tamil Punjabi Gujarati
Number of 2000 3000 1000 1500 500
newspapers
Prepare a pictograph of the above data using a symbol of your choice, each representing 1000 newspapers.
Section D (Each question carries 4 marks)
Q.9 In a Hindi test the following marks were obtained by 30 students:
8,9,3,4,5,6,5,7,8,9,5,6,7,3,8,6,8,9,5,4,6,5,7,8,7,7,6,7,8,5
Arrange these marks in a table using tally marks and answer the following questions:
(i)How many students obtained marks below 7?
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Page 16
(ii)Find how many students obtained marks equal to or less than 6?
Q.10 The number of people going for a walk in the garden throughout a week were observed: =4
people
Days No. of people
MONDAY
Tuesday
Wednesday
Thursday
Friday
Observe the pictograph and answer the following questions:
(i) How many people had gone to garden on Friday?
(ii) On which day the maximum number of people went to the garden?
(iii) On which day same number of people went to the garden?
(iv) On which day minimum number of people went to the garden?
Q.11 The total number of animals in these five villages is given as follows:
Village A: 80
Village B: 120
Village C: 90
Village D: 40
Village E: 60
Prepare a pictograph of the total number of animals using one symbol to represent ten animals and answer the
following questions:
(i) How many symbols represent the animals in village E?
(ii) Which of the following village has the maximum number of animals?
(iii) Which of the following village has more animals: village A or village C?
80
Q.10 The number of people going for a walk in the garden throughout a week were observed: =4
people
Days No. of people
MONDAY
Tuesday
Wednesday
Thursday
Friday
Observe the pictograph and answer the following questions:
(i) How many people had gone to garden on Friday?
(ii) On which day the maximum number of people went to the garden?
(iii) On which day same number of people went to the garden?
(iv) On which day minimum number of people went to the garden?
Q.11 The total number of animals in these five villages is given as follows:
Village A: 80
Village B: 120
Village C: 90
Village D: 40
Village E: 60
Prepare a pictograph of the total number of animals using one symbol to represent ten animals and answer the
following questions:
(i) How many symbols represent the animals in village E?
(ii) Which of the following village has the maximum number of animals?
(iii) Which of the following village has more animals: village A or village C?
80
Document Details
| Board / Org | Aglasem |
| Exam | Class 6 |
| Type | Notes |
| Pages | 16 |
| Language | english |
| Updated | 30 Apr 2026 |