NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

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Updated at 2021-05-07


NCERT solutions for class 6 Maths Chapter 9 Data Handling Exercise 9.1

Q.1 In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :


(a) Number of students who obtained marks equal to or more than 7 = 5 + 4 + 3 = 12
(b) Number of students who obtained marks below 4 = 2 + 3 + 3 = 8.

Q.2 Following is the choice of sweets of 30 students of Class VI.
Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by most of the students?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a)

(b) Laddu

Q.3 Catherine threw a dice 40 times and noted the number appearing each time as shown below :


Make a table and enter the data using tally marks. 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.



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :


(a) The number 4 appeared 4 times which is the minimum.
(b) The number 5 appeared 11 times which is the maximum.
(c) The number 1 and 6 appear for the same number of times, i.e., 7.

Q.4 Following pictograph shows the number of tractors in five villages.


Observe the pictograph and answer the following questions.
(i) Which village has the minimum number of tractors?
(ii) Which village has the maximum number of tractors?
(iii) How many more tractors village C has as compared to village B?
(iv) What is the total number of tractors in all the five villages?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(i) Village D has the minimum number of tractors.
(ii) Village C has the maximum number of tractors.
(iii) Village B has 5 tractors
Village C has 8 tractors
Difference = 8 – 5 = 3 tractors
Village C has 3 more tractors as compared to village B
(iv) Total number of tractors in all the villages = 6 + 5 + 8 + 3 + 6 = 28 tractors

Q.5 The number of girl students in each class of a co-educational middle school is depicted by the pictograph:

Observe this pictograph and answer the following questions:
(a) Which class has the minimum number of girl students?
(b) Is the number of girls in Class VI less than the number of girls in Class V?
(c) How many girls are there in Class VII?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a) Class VIII has the minimum number of girl students
i,e. \(1\frac{1}{2} \) x 4 = \(\frac{3}{2} \) × 4 = 6.
(b) No, number of girls in Class VI = 4 x 4 = 16 and number
of girls in Class V =\(2\frac{1}{2} x 4 = \frac{5}{2} ×4 = 10
So, number of girl students in Class VI is not less than that of in Class V.
(c) Number of girls in Class VII = 3 x 4 = 12

Q.6 The sale of electric bulbs on different days of a week is shown below:


Observe the pictograph and answer the following questions:
(a) How many bulbs were sold on Friday?
(b) On which day were the maximum number of bulbs sold?
(c) On which of the days same number of bulbs were sold?
(d) On which of the days minimum number of bulbs were sold?
(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a) Number of bulbs sold on Friday are 14 bulbs.
(b) The maximum number of bulbs were sold on Sunday. Which is 18 bulb
(c) equal number of bulbs were sold on Wednesday and Saturday.
(d) Minimum number of bulbs were sold on Wednesday and Saturday i.e 8 bulbs.
(e) Total number of bulbs sold in a week = 12 + 16 + 8 + 10 + 14 + 8 + 18 = 86

Q.7 In a village six fruit merchants sold the following number of fruit baskets in a particular season:

Observe this pictograph and answer the following questions:
(a) Which merchant sold the maximum number of baskets?
(b) How many fruit baskets were sold by Anwar?
(c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a) Martin sold the maximum number of fruit baskets, which is \(9\frac{1}{2} \) x 100 = 9.5 × 100 = 950
(b) Number of fruit baskets sold by Anwar is 7 x 100 = 700.
(c) Anwar, Martin and Ranjit Singh have sold 600 or more fruit baskets and planning to buy a godown.

NCERT solutions for class 6 Maths Chapter 9 Data Handling Exercise 9.2

Q.1 Total number of animals in five villages are as follows:
Village A : 80
Village B : 120
Village C : 90
Village D : 40
Village E : 60
Prepare a pictograph of these animals using one symbol to represent 10 animals and answer the following questions:
(a) How many symbols represent animals of village E?
(b) Which village has the maximum number of animals?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :


(a) There are 60 animals in village E. So 6 symbols represent animals of village E
(b) Village B has the maximum number of animals .
(c) Village A has 80 animals and village C has 90 animals. So village C has more animals than village A

Q.2 Total number of students of a school in different years is shown in the following table

A. Prepare a pictograph of students using one symbolto represent 100 students and answer the following questions:
(a) How many symbols represent total number of students in the year 2002?
(b) How many symbols represent total number of students for the year 1998?
B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

A.

(a) Total number of students in the year 2002 represents 6 symbols
(b) Total number of students in the year 1998 represents 5 complete and 1 incomplete symbols
B.

Second pictograph is more informative.

NCERT solutions for class 6 Maths Chapter 9 Data Handling Exercise 9.3

Q.1 The bar graph given alongside shows the amount of wheat purchased by government during the year 1998-2002.
Read the bar graph and write down your observations. In which year was
(a) the wheat production maximum?
(b) the wheat production minimum?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a) maximum = 2002
(b) minimum = 1998

Q.2 Observe this bar graph which is showing the sale of shirts in a ready made shop from Monday to Saturday

Now answer the following questions:
(a) What information does the above bar graph give?
(b) What is the scale chosen on the horizontal line representing number of shirts?
(c) On which day were the maximum number of shirts sold? How many shirts were sold on that day?
(d) On which day were the minimum number of shirts sold?
(e) How many shirts were sold on Thursday?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a) The above bar graph shows the number of shirts sold from Monday to Saturday
(b) 1 unit length = 5 shirts is the scale on the horizontal line representing number of shirts.
(c) On Saturday maximum number of shirts sold i.e 60 shirts was sold.
(d) Tuesday
(e) 35 shirts were sold on Thursday

Q.3 Observe this bar graph which shows the marks obtained by Aziz in half-yearly examination in different subjects. Answer the given questions.

(a) What information does the bar graph give?
(b) Name the subject in which Aziz scored maximum marks.
(c) Name the subject in which he has scored minimum marks.
(d) State the name of the subjects and marks obtained in each of them.



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

(a) The bar graph shows the marks scored by Aziz in different subjects.
(b) Hindi
(c) Social Studies
(d) Hindi – 80 marks
English – 60 marks
Mathematics – 70 marks
Science – 50 marks
Social Studies – 40 marks

NCERT solutions for class 6 Maths Chapter 9 Data Handling Exercise 9.4

Q.1 A survey of 120 school students was done to find which activity they prefer to do in their free time.

Draw a bar graph to illustrate the above data taking scale of 1 unit length = 5 students. Which activity is preferred by most of the students other than playing?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

Q.2 The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:

Draw a bar graph to represent the above information choosing the scale of your choice.



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :

Q.3 Following table shows the number of bicycles manufactured in a factory during the years 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice

(a) In which year were the maximum number of bicycles manufactured?
(b) In which year were the minimum number of bicycles manufactured?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :


(a) 2002
(b) 1999

Q.4 Number of persons in various age groups in a town is given in the following table.

Draw a bar graph to represent the above information and answer the following questions. (take 1 unit length = 20 thousands)
(a) Which two age groups have same population?
(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?



NCERT Solutions for Class 6 Maths Chapter 9 Data Handling


Answer :


(a) 30 - 44 and 45 - 59
(b) Number of senior citizens in the town
= 80000 + 40000 = 1 lakh 20 thousand



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