NCERT Exemplar Class 6 Maths Data Handling Solution: NCERT Exemplar Solution Class 6 Maths Chapter 5 Data Handling Full Explanation. NCERT Exemplar Class 6 Maths – Chapter 5 Data Handling. NCERT Exemplar Class 6 Maths Data Handling Solution by Expert.
NCERT Exemplar Class 6 Maths Data Handling Solution
In questions 1 to 5, out of the four options, only one is correct. write the correct answer.
Question 1:
Using tally marks, which one of the following represents the number eight:
Solution: Answer (D)
Using tally marks, we write eight in above way.
Question 2:
The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below:
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than or equal to 5 is
(A) 13
(B) 15
(C) 16
(D) 17
Solution: Answer (D)
In above list the number of students who obtained marks more than or equal to 5 is 17.
Question 3:
In question 2 above, the number of students who scored marks less than 4 is
(A) 15
(B) 13
(C) 12
(D) 10
Solution: Answer (D)
In above que 2 the number of students who obtained marks less than 4 is 10.
Question 4:
The choices of the fruits of 42 students in a class are as follows:
A, O, B, M, A, G, B, G, A , G,
B, M, A, G, M, A, B, G, M, B,
A, O, M, O, G, B, O, M, G, A,
A, B, M, O, M, G, B, A, M, O, M, O,
Where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively.
Which two fruits are liked by an equal number of students?
(A) A and M
(B) M and B
(C) B and O
(D) B and G
Solution: Answer (D)
B and G fruits are linked by equal number of students.
Question 5:
According to data of question 4, which fruit is liked by most of the students?
(A) O
(B) G
(C) M
(D) A
Solution: Answer (C)
From que (4) M fruits is linked by most of the students.
In questions 6 to 13, state whether the given statements are true (T) or false (F)
Question 6:
In a bar graph, the width of bars may be unequal.
Solution: False
In a bar graph, the width of bars may be equal.
Question 7:
In a bar graph, bars of uniform width are drawn vertically only.
Solution: False
In a bar graph, bars of uniform width may be drawn vertically.
Question 8:
In a bar graph, the gap between two consecutive bars may not be the same.
Solution: False
In a bar graph, the gap between two consecutive bars is same.
Question 9:
In a bar graph, each bar (rectangle) represents only one value of the numerical data.
Solution: The statement is True.
Question 10:
To represent the population of different towns using bar graph, it is convenient to take one unit length to represent one person.
Solution: False.
To represent the population of different towns using bar graph, it is not convenient to take one unit length to represent one person. It may be taken two unit or other.
Question 11:
Pictographs and bar graphs are pictorial representations of the numerical data.
Solution: The statement is True.
Question 12:
An observation occurring five times in a data is recorded as | | | | |, using tally marks.
Solution: False.
An observation occurring five times in a data is recorded asusing tally marks.
Question 13:
In a pictograph, if a symbol symbol represents 50 books in a library shelf, then the symbol represents 25 books.
Solution: The statement is True.
In questions 14 to 20, fill in the blanks to make the statements true:
Question 14:
A ______ is a collection of numbers gathered to give some meaningful information.
Solution: A data is a collection of numbers gathered to give some information.
Question 15:
The data can be arranged in a tabular form using _______ marks.
Solution: The data can be arranged in a tabular form using tally marks
Question 16:
A _______ represents data through pictures of objects.
Solution: A pictograph represents data through pictures of objects.
Question 17:
In a bar graph, bars of ________ width can be drawn horizontally or vertically with ________ spacing between them
Solution: In a bar graph, bars of uniform width can be drawn horizontally or vertically with equal spacing between them.
Question 18:
An observation occurring seven times in a data is represented as ______ using tally marks.
Solution: An observation occurring seven times in a data is represented as using tally marks.
Question 19:
In a pictograph, if a symbol represents 20 flowers in a basket then stands for flowers.
Solution: In a pictograph, if a symbol represents 20 flowers in a basket, then stands for 60 flowers.
Question 20:
On the scale of 1 unit length = 10 crore, the bar of length 6 units will represent ________ crore and of ——— units will represent 75 crore.
Solution:
On the scale of 1 unit length = 10 crore, the bar of length 6 units. Will represent 60 crore and of 7.5 units will represent 75 crores.
Question 21:
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
Solution:
Question 22:
The number of two wheelers owned individually by each of 50 families are listed below. Make a table using tally marks.
1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1
Find the number of families having two or more, two wheelers
Solution:
Question 23:
The lengths in centimetres (to the nearest centimetre) of 30 carrots
are given as follows:
15, 22, 21, 20, 22,15, 15, 20, 20,15, 20, 18, 20, 22, 21,
20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20,15, 21, 18, 20
Arrange the data given above in a table using tally marks and answer the following questions.
(a) What is the number of carrots which have length more than 20 cm?
(b) Which length of the carrots occur maximum number of times? Minimum number of times?
Solution:
Question 24:
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
Solution:
Question 25:
Following are the choices of games of 40 students of Class VI:
football, cricket, football, kho-kho, hockey, cricket, hockey, kho-kho, tennis, tennis, cricket, football, football, hockey, kho-kho, football, cricket, tennis, football, hockey, kho-kho, football, cricket, cricket, football, hockey, kho-kho, tennis, football, hockey, cricket, football, hockey, cricket, football, kho-kho, football, cricket, hockey, football.
(a) Arrange the choices of games in a table using tally marks.
(b) Which game is liked by most of the students?
(c) Which game is liked by minimum number of students?
Solution:
(a)
(b) Football is liked by the most of the students.
(c) Tennis is the game liked by the minimum number of students.
Question 26:
Fill in the blanks in the following table which represents shirt size of 40 students of a school.
Solution:
Question 27:
Following pictograph represents some surnames of people listed in the telephone directory of a city
Observe the pictograph and answer the following questions:
(a) How many people have surname ‘Roy’?
(b) Which surname appears the maximum number of times in the telephone directory?
(c) Which surname appears the least number of times in the directory?
(d) Which two surnames appear an equal number of times?
Solution:
(a) 400 people have their surname ray.
(b) Patel surname appears the maximum number of times in the telephone directory.
(c) Saikia surname appears the least number of times in the directory.
(d) Rao and Roy these are the two surnames appear an equal number of times.
Question 28:
Students of Class VI in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows:
Observe the pictograph and answer the following questions:
(a) Which material is used in maximum number of articles?
(b) Which material is used in minimum number of articles?
(c) Which material is used in exactly half the number of articles as those made up of metal?
(d) What is the total number of articles counted by the students?
Solution:
(a) Metals is used in maximum number of time in the telephone directly.
(b) Glass is used in minimum number of articles.
(c) Rubber is used in exactly half the number of articles as these made up of metals.
(d) 160 is the total number of articles counted by the students.
Question 29:
The number of scouts in a school is depicted by the following pictograph:
Observe the pictograph and answer the following questions:
(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?
Solution:
(a) X class has the minimum number of scouts.
(b) VII Class has the maximum number of scouts.
(c) 40 scouts are they’re in the class VI
(d) VI class has exactly four number of scouts as that of class X.
(e) 160 is the total number of scouts in the class VI to X.
Question 30:
A survey was carried out in a certain school to find out the popular school subjects among students of Classes VI to VIII. The data in this regard is displayed as pictograph given below:
(a) Which subject is most popular among the students?
(b) How many students like Mathematics?
(c) Find the number of students who like subjects other than Mathematics and Science.
Solution:
(a) Hindi subject is most popular among the students.
(b) 175 students like mathematics.
(c) 425 students who like subject other than mathematical and science.
Question 31:
The following pictograph depicts the information about the areas in sq km (to nearest hundred) of some districts of Chhattisgarh State:
(a) What is the area of Koria district?
(b) Which two districts have the same area?
(c) How many districts have area more than 5000 square kilometres?
Solution:
(a) 6000 sq km is the area of koria district.
(b) Raigarh and jodhpur has the same area.
(c) four districts have area more than 5000 square km.
Question 32:
The following table gives information about the circulation of newspapers (dailies) in a town in five languages.
Prepare a pictograph of the data using one symbol to represent 50 bottles.
Solution:
Question 33:
The following table gives information about the circulation of newspapers (dailies) in a town in five languages.
Prepare a pictograph of the above data, using a symbol of your choice, each representing 1000 newspapers.
Solution:
Question 34:
Annual expenditure of a company in the year 2007-2008 is given below:
Prepare a pictograph of the above data using an appropriate symbol to represent Rs 10 lakh.
Solution:
Question 35:
The following bar graph shows the number of houses (out of 100) in a town using different types of fuels for cooking.
Read the bar graph and answer the following questions:
(a) Which fuel is used in maximum number of houses?
(b) How many houses are using coal as fuel?
(c) Suppose that the total number of houses in the town is 1 lakh.
From the above graph estimate the number of houses using electricity.
Solution:
(a) LPG is used in maximum number of houses.
(b) 10 Housed are using coal as fuel.
(c) 5000 houses using electricity.
Question 36:
The following bar graph represents the data for different sizes of shoes worn by the students in a school. Read the graph and answer the following questions.
(a) Find the number of students whose shoe sizes have been collected.
(b) What is the number of students wearing shoe size 6?
(c) What are the different sizes of the shoes worn by the students?
(d) Which shoe size is worn by the maximum number of students?
(e) Which shoe size is worn by minimum number of students?
(f) State whether true or false:
The total number of students wearing shoe sizes 5 and 8 is the same as the number of students wearing shoe size 6
Solution:
(a) 1300 students whose shoe sizes have been collected.
(b) 300 students wearing shoe size 6.
(c) 4,5,6,7,8, maximum number of students are the different size of shoe worm by the students.
(d) 7 is the shoe size worn by the maximum number of students.
(e) 8 is the shoe size worn by the minimum number of students.
(f) False, the total number of students wearing shoe size 5 and 8 is 350 is not same the number of students wearing shoe size 6 = 300.
Question 37:
The following graph gives the information about the number of railway tickets sold for different cities on a railway ticket counter between 6.00 am to 10.00 am. Read the bar graph and answer the following questions.
(a) How many tickets were sold in all?
(b) For which city were the maximum number of tickets sold?
(c) For which city were the minimum number of tickets sold?
(d) Name the cities for which the number of tickets sold is more than 20.
(e) Fill in the blanks:
Number of tickets sold for Delhi and Jaipur together exceeds the total number of tickets sold for Patna and Chennai by
Solution:
(a) 295 tickets sold in all.
(b) In city Delhi were maximum number of tickets sold.
(c) In city Chennai were minimum number of tickets sold.
(d) Jaipur, Patna, Delhi, Guwahati are the cities where number of tickets is more sold is more than 20.
(e) Number of tickets sold for Delhi and Jaipur together exceeds the total number of tickets sold for Patna and Chennai by 50.
Question 38:
The bar graph given below represents approximate length (in kilometres) of some National Highways in India. Study the bar graph and answer the following questions:
(a) Which National Highway (N.H.) is the longest among the above?
(b) Which National Highway is the shortest among the above?
(c) What is the length of National Highway 9?
(d) Length of which National Highway is about three times the National Highway10?
Solution:
(a) National Highway (N.H.) is the longest among the all.
(b) National Highway is the shortest natural highway among the above?
(c) 900km length of National Highway 9.
(d) Length of which National Highway is about three times the National Highway 10.
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