NCERT Solutions for Class 6 Maths Chapter 9
Data Handling is a branch of mathematics that deals with collecting, organizing, analyzing, interpreting, and presenting data to draw meaningful conclusions. It helps us understand information better and make informed decisions.
Key Concepts:
- Data: Collection of facts or information.
- Raw Data: Data collected in its original form.
- Observation: Each piece of information collected.
- Frequency: Number of times a particular observation occurs.
- Tally Marks: A quick way to record the frequency of data.
- Frequency Distribution Table: A table that shows the frequency of each observation.
- Pictograph: A visual representation of data using pictures or symbols.
- Bar Graph: A visual representation of data using bars of equal width.
Steps Involved in Data Handling:
- Collection of Data: Gathering relevant information.
- Organization of Data: Arranging data systematically using tables or charts.
- Presentation of Data: Visualizing data using pictographs, bar graphs, etc.
- Analysis of Data: Interpreting the data to draw conclusions.
Example: Imagine collecting data on the favorite ice cream flavors of students in a class. You would count the number of students who like each flavor, create a frequency table, and then represent the data using a pictograph or bar graph to visualize the preferences.
NCERT Solutions for Class 6 Maths Chapter 9
Exercise 9.1
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?
Ans :
From the given data, we have the following table.
(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.
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.
Arrange the names of sweets in a table using tally marks.
Which sweet is preferred by most of the students?
Ans :
Ladoo is the sweet preferred by most of the students.
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.
(а) The minimum number of times
(b) The maximum number of times
(c) Find those numbers that appear an equal number of times.
Ans :
(a) The number 4 appeared 4 times, which is the minimum.
(b) The number 5 appeared 11 times,which is the maximum.
(c) The numbers 1 and 6 each appeared 7 times.
4. Following pictograph shows the number of tractors in five villages.
Observe the pictograph and answer the following questions.
(a) Which village has the minimum number of tractors?
(b) Which village has the maximum number of tractors?
(c) How many more tractors village C has as compared to village B?
(d) What is the total number of tractors in all. the five villages?
Ans :
- Village D has the fewest number of tractors, with only 3.
- Village C has the highest number of tractors, which is 8.
- Village C has 3 more tractors than Village B.
- The total number of tractors in all the villages is 28.
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?
Ans :
(a) Class VIII has the minimum number of girl students, i.e., 1/2×4=2.
(b)The number of girls in Class VI is calculated as 4 x 4 = 16, and the number of girls in Class V is calculated as 212 x 4 = 848. Therefore, the number of girl students in Class VI exceeds that of Class V.
(c) The number of girls in Class VII is determined by multiplying 3 by 4, resulting in 12 girls.
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?
Ans :
(a) The number of bulbs sold on Friday is calculated as 7 multiplied by 2, which equals 14 bulbs.
(b) On Sunday, the number of bulbs sold was 9 x 2 = 18, which was the highest number sold on any day.
(c) On both Wednesday and Saturday, an equal number of bulbs were sold, specifically 4 x 2 = 8 bulbs each day.
(d) The least number of bulbs were sold on Wednesday and Saturday, specifically 4 x 2 = 8 bulbs on each of those days.
(e) The total number of bulbs sold in a week was 43. To determine the number of cartons needed:
Number of cartons = (43 x 2) ÷ 9 = 86 ÷ 9 = 9.56 ≈ 10 cartons were required.
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?
Ans :
(a) Martin sold the maximum number of baskets. He has 9.5 baskets depicted, representing 9.5 x 100 = 950 baskets sold.
(b)Anwar sold 700 fruit baskets. There are 7 baskets depicted for Anwar, representing 7 x 100 = 700 baskets sold.
(c)Anwar, Martin, and Ranjit Singh have each sold 600 or more fruit baskets and are planning to buy a warehouse.
NCERT Solutions for Class 6 Maths Chapter 9
FAQs
What topics are covered in Class 6 Maths Chapter 9?
Class 6 Maths Chapter 9 covers various aspects of data handling, including collecting data, organizing data, representing data using bar graphs, and interpreting bar graphs.
How can the solutions for Class 6 Maths Chapter 9 help me understand data handling better?
The solutions for Class 6 Maths Chapter 9 provide step-by-step explanations and practical examples to help students grasp the concepts of data handling.
Are there specific exercises focused on data handling in Class 6 Maths Chapter 9?
Yes, Chapter 9 of the Class 6 Maths book includes several exercises specifically focused on data handling. These exercises help students practice and reinforce their understanding of the topic.
Where can I find solutions for Class 6 Maths Chapter 9?
Solutions for Class 6 Maths Chapter 9 can be found in educational books and on various online educational platforms. These solutions provide comprehensive coverage of data handling for class 6.
How do the solutions for Class 6 Maths Chapter 9 aid in exam preparation?
The solutions for Class 6 Maths Chapter 9 aid in exam preparation by providing thorough practice and clear explanations of data handling concepts.
What are the key features of data handling covered in Class 6 Maths Chapter 9?
The key features of data handling covered in this chapter include methods for collecting data, organizing data in tables, representing data using bar graphs, and interpreting bar graphs to draw meaningful conclusions.
