Chapter 9: Data Handling

Q1Written answer

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 than 7.

(b) How many students obtained marks below 4?

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Worked solution

Marks	Tally Marks	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 got marks equal to or more than 7 are the students who got either 7, 8 or 9 marks.

Therefore, the number of these students = 5 + 4 + 3

= 12

(b) The students who got marks below 4 are the students who got marks as either 1, 2 or 3 marks.

Therefore, the number of these students = 2 + 3 + 3

= 8

Q2Written answer

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?

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Worked solution

Observing the choice of sweets of 30 students, we may construct the table as shown below:

Sweets	Tally Marks	Number of Students
Ladoo	\|	11
Barfi	\|\|\|	3
Jalebi	\|\|	7
Rasgulla	\|\|\|\|	9
		30

(b) The highest number of students preferred Ladoos. Hence, Ladoo is the most preferred sweet among students.

Q3Written answer

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.

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Worked solution

Numbers	Tally Marks	Number of times
1	\|\|	7
2	\|	6
3		5
4	\|\|\|\|	4
5	\|	11
6	\|\|	7

(a) The number that occurred for the minimum number of times is 4

(b) The number that occurred for the maximum number of times is 5

(c) 1 and 6 are the numbers that appear an equal number of times.

Q4Written answer

Following pictograph shows the number of tractors in five villages.

NCERT Solutions for Class 6 Maths Chapter 9 Exercise 9.1 - 15

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?

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Worked solution

(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

= 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

Q5Written answer

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

NCERT Solutions for Class 6 Maths Chapter 9 Exercise 9.1 - 16

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?

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Worked solution

By observing the above table, there are 24, 18, 20, 14, 10, 16, 12 and 6 girls, respectively from Class I to VIII

(a) Class VIII has only 6 girls. Therefore, the minimum number of girl students are in Class VIII

(b) No. Class V has 10 girl students

Class VI has 16 girl students

Hence, the number of girls in Class VI is more than the number of girls in Class V

(c) The number of girls in Class VII is 12

Q6Written answer

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

NCERT Solutions for Class 6 Maths Chapter 9 Exercise 9.1 - 17

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?

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Worked solution

(a) Number of bulbs sold on Friday is 14 bulbs.

(b) On Sunday the highest number of bulbs, i.e., 18, is sold. Thus, the maximum number of bulbs were sold on Sunday.

(c) On Wednesday and Saturday, 8 bulbs are sold. Hence, an 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

Q7Written answer

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

NCERT Solutions for Class 6 Maths Chapter 9 Exercise 9.1 - 18

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?

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Worked solution

From the pictograph, the number of fruit baskets sold by Rahim, Lakhanpal, Anwar, Martin, Ranjit Singh and Joseph is 400, 550, 700, 950, 800 and 450, respectively

(a) Martin sold the maximum number of fruit baskets, i.e., 950

(b) Anwar sold 700 fruit baskets

(c) Anwar, Martin and Ranjit Singh are the merchants who sold more than 600 fruit baskets. Hence, these are the merchants who are planning to buy a godown for the next season.

Marks	Tally Marks	Number of Students
1	\|\|	2
2	\|\|\|	3
3	\|\|\|	3
4	\|\|	7
5	\|	6
6	\|\|	7
7		5
8	\|\|\|\|	4
9	\|\|\|	3

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Exercise 9.1