Saturday, May 23, 2020

NCERT Solutions for Class 6 Math Chapter 9 Data Handling

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Exercise 9.1

Introduction

"Data Handling" Chapter 9 - Introduction - Class 6th Maths



Q 1 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Q 1 Part "A" - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

 Page No 192:

Question 1:

In a Mathematics 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
9
5
3
7
1
6
5
2
7
7
3
8
4
2
8
9
5
8
6
7
4
5
6
9
6
4
4
6
6
(a) Find how many students obtained marks equal to or more than7.
(b) How many students obtained marks below 4?

Answer:

By observing the marks scored by 40 students in the test, we can construct the
table as follows.
Mark
Tally mark
Number of Students
1
2
2
3
3
3
4
7
5
6
6
7
7
5
8
4
9
3
(a) The students who obtained their marks equal to or more than 7 are the students who obtained their marks as either of 7, 8, and 9. Hence, number of these students = 5 + 4 + 3 = 12
(b) The students who obtained their marks below 4 are the students who
obtained their marks as either of 1, 2, and 3.
Hence, number of these students = 2 + 3 + 3 = 8



Q 2 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Question 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, Laddo, 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?

Answer:

By observing the choices of sweets of 30 students, we can construct the table as below.
(a)
Sweet
Tally mark
Number of students
Ladoo
11
Barfi

3
Jalebi

7
Rasgulla

9
30
(b) Ladoo is the most preferred sweet as the most number of students (i.e., 11) prefer Ladoo.



Q 3 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Question 3:

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

Answer:

Number
Tally mark
Number of times
1

7
2
6
3
5
4

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

Q 4 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Question 4:

Following pictograph shows the number of tractors in five villages.
Village
Number of tractors – 1 tractor
Village A
Village B
Village C
Village D
Village E
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?

Answer:

(i) Village D has the minimum number of tractors, i.e., only 3 tractors.
(ii) Village C has the maximum number of tractors, i.e., 8 tractors.
(iii) Number of more tractors that village C has = 8 − 5 = 3
(iv) Total number of tractors in all these villages = 6 + 5 + 8 + 3 + 6 = 28

Q 5 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Page No 193:

Question 5:

The number of girl students in each class of a co-educational middle school is depicted by the pictograph:
Class
Number of girl students – 4 girls
I

II

III

IV

V
VI

VII

VIII
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?

Answer:

From the above table, it can be concluded that in classes I, II, III, IV, V ,VI, VII, VIII, there are 24, 18, 20, 14, 10 , 16, 12, 6 girls respectively.
(a) Class VIIIhas the minimum number of girls, i.e., only 6 girls.
(b) No. In class V and VI, there are 10 and 16 girls respectively. Clearly, the number of girls is more in class VI than that in class V.
(c) There are 12 girls in class VII.
Q 6 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Question 6:

The sale of electric bulbs on different days of a week is shown below:
Day
Number of electric bulbs – 2 bulbs
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
What can we conclude from the said pictograph?

Answer:

(a) Number of bulbs sold on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday are 12, 16, 8, 10, 14, 8, and 18 respectively.
(b) The maximum numbers of bulbs (i.e., 18) were sold on Sunday.
(c) Equal numbers of bulbs (i.e., 8) were sold on Wednesday and Saturday.
(d) The minimum numbers of bulbs (i.e., 8) were sold on Wednesday and Saturday.
(e) Total bulbs sold in the week = 12 + 16 + 8 + 10 + 14 + 8 + 18 = 86
Q 7 - Ex 9.1 - Data Handling - NCERT Maths Class 6th - Chapter 9

Page No 194:

Question 7:

In a village, six fruit merchants sold the following number of fruit baskets in a particular season:
Name of fruit merchant
Number of fruit baskets – 100 fruit basket s
Rahim
Lakhanpal
Anwar
Martin
Ranjit Singh
Joseph
Observe this pictograph and answer the following question:
(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?

Answer:

From the above pictograph, it can be observed that the number of fruit baskets sold by Rahim, Lakhanpal, Anwar, Martin, Ranjit Singh, and Joseph are 400, 550, 700, 950, 800, and 450 respectively.
(a) Martin sold the maximum number of baskets, i.e., 950.
(b) Anwar sold 700 baskets.
(c) Anwar, Martin, and Ranjit Singh are the three merchants who have sold more than 600 baskets. Therefore, they are planning to buy a godown for the next season.

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