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## NCERT Solutions for Class 6 Maths Chapter 9: Data Handling Ex 9.1

**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 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?**

**Solution**:

From the given data, we have the following table:

(a) From the table the answer is 12 students.

(b) From the table, the number of students is 8.

**Question 2:**

Following is the choice of sweets of 30 students of Class VI.

Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rashulla, Jalebi, Ladoo, Barfi,

Rasgulla, Ladoo, Jalebi, Jalebi,

Rashulla, 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?

Following is the choice of sweets of 30 students of Class VI.

Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rashulla, Jalebi, Ladoo, Barfi,

Rasgulla, Ladoo, Jalebi, Jalebi,

Rashulla, 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?

Solution:

(a) The table is as follows:

(b) Ladoo is the most preferred by the students.

**Question 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**

**Solution**:

From the data the table is as follows:

(a) 4 is the number which has occurred minimum number of times.

(b) 5 is the number which has occurred maximum number of times.

(c) 1 and 6 are the numbers which have occurred equal number of times.

**Question 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?**

**Solution**:

(a) Village D has the minimum number of tractors.

(b) Village C has the maximum number of tractors.

(c) Village C has 3 tractors more than that of village B

(d) Total number of tractors is 28.

**Question 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?**

**Solution**:

(a) Class VIII has the minimum number of girls.

(b) No, the number of girls in Class VI is more than that of in Class V.

(c) There are 12 girls in Class VII.

**Question 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?**

**Solution**:

(a) 14 bulbs were sold on Friday.

(b) On Sunday the maximum bulbs were sold.

(c) On Wednesday and Saturday, the same number of bulbs was sold.

(d) On Wednesday and Saturday, the minimum number of bulbs was sold.

(e) Total number of bulbs sold is 86 so,

**Question 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?**

**Solution**:

(a) Martin sold the maximum number of baskets.

(b) 700 fruit baskets were sold by Anwar.

(c) Ranjit Singh, Martin and Anwar

## NCERT Solutions for Class 6 Maths Chapter 9: Data Handling Ex 9.2

**Question 1:**

**Total number of animals in five villages is 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?**

**(c) Which village has more animals: village A or village C?**

**Solution**:

The pictograph is as follows,

(a) Six symbols are used to represent the animals in village E.

(b) Village B has maximum number of animals, i.e. 120.

(c) Village C has more animals than village A

**Question 2:**

**Total number of students of a school in different years is shown in the**

**following table:**

**Years Number of students**

**1996 400**

**1998 535**

**2000 472**

**2002 600**

**2004 623**

**A. Prepare a pictograph of students using one symbol to 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?**

**Solution**:

A. From the given data

(a) 6 symbols are required.

(b) 5 full symbols and one half symbol is required.

B. The another pictograph is as follows,

This pictograph is more informative.

## NCERT Solutions for Class 6 Maths Chapter 9: Data Handling Ex 9.3

**Question 1:**

**The bar graph given below shows the amount of wheat purchased by**

**government during the year 1998 – 2002.**

**Read the bar graph and write down your observations.**

**(a) In which year was the wheat production maximum?**

**(b) In which year was the wheat production minimum?**

**Solution**:

(a) In 2002 wheat production was maximum.

(b) In 1998 wheat production was minimum.

**Question 2:**

**Observe this bar graph which is showing the sale of shirts in a readymade**

**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 numbers of shirts sold? How many**

**shirts were sold on that day?**

**(d) On which day were the minimum numbers of shirts sold?**

**(e) How many shirts were sold on Thursday?**

**Solution**:

(a) The sale of shirts in a readymade shop from Monday to Saturday.

(b) 1 unit = 5 shirts

(c) On Saturday the maximum shirts were sold, 60 shirts

(d) On Tuesday.

(e) 35 shirts were sold on Thursday.

**Question 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 is 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.**

**Solution**:

(a) The marks obtained by Aziz in half yearly examination in different subjects.

(b) Hindi is the subject in which he scored maximum marks.

(c) Social Studies is the subject in which he scored the least marks.

(d) Hindi 80, English 60, Mathematics 70, Science 50, Social Studies 40.

## NCERT Solutions for Class 6 Maths Chapter 9: Data Handling Ex 9.4

**Question 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?**

**Solution**:

From the given data the graph is as follows:

From the graph, it is clear that other than playing, students prefer reading story books.

**Question 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.**

**Solution**:

From the given data, the graph is as follows:

**Question 3:**

**Following shows the number of bicycles manufactured in a factory during**

**the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale**

**your choice.**

**(a) In which year were the maximum numbers of bicycles manufactured?**

**(b) In which year were the minimum numbers of bicycles manufactured?**

**Solution**:

From the given data, the graph is as follows:

(a) The year in which maximum numbers of bicycles were manufactured was 2002.

(b) The year in which minimum numbers of bicycle were manufactured was 1999.

**Question 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?**

**Solution**:

From the given data, the graph is as follows:

(a) Group 30 – 44 and group 45 – 59, have the same population.

(b) 80,000 + 40,000 = 1,20,000