Class 6 Exam  >  Class 6 Notes  >  Mathematics (Maths) Class 6  >  NCERT Solutions: Data Handling

NCERT Solutions for Class 6 Maths - Data Handling

Exercise 9.1 

Q1. In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

NCERT Solutions for Class 6 Maths - Data Handling

(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?
Ans:
NCERT Solutions for Class 6 Maths - Data Handling

(a) The students who got marks equal to or more than 7 are the students who got marks 7, 8 or 9. Therefore the number of these students are:
= 5 + 4 + 3
= 12
(b) The students who got marks below 4 are the students who got marks 1,2 or 3. Therefore the number of these students are:
= 2 + 3 + 3
= 8


Q2. 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?
Ans: 
(a) Table using tally marks:
NCERT Solutions for Class 6 Maths - Data Handling

(b) The sweet which is preferred by most of the students is Ladoo. As out of 30, 11 students prefer eating ladoo.


Q3. Catherine threw a dice 40 times and noted the number appearing each time as shown below:

NCERT Solutions for Class 6 Maths - Data Handling
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.
Ans:  
NCERT Solutions for Class 6 Maths - Data Handling

(a) The number that occurred for minimum number of times is 4
(b) The number that occurred for maximum number of times is 5
(c) 1 and 6 are the numbers that appear an equal number of times.


Q4. Following pictograph shows the number of tractors in five villages. 

Village

Number of tractors NCERT Solutions for Class 6 Maths - Data Handling = 1 Tractor

Village A

NCERT Solutions for Class 6 Maths - Data Handling

Village B

NCERT Solutions for Class 6 Maths - Data Handling

Village C

NCERT Solutions for Class 6 Maths - Data Handling

Village D

NCERT Solutions for Class 6 Maths - Data Handling

Village E

NCERT Solutions for Class 6 Maths - Data Handling

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? 
Ans: 
(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


Q5. The number of girl students in each class of a co-educational middle school is depicted by the pictograph: 

Class

Number of girl students NCERT Solutions for Class 6 Maths - Data Handling - 4 girls

INCERT Solutions for Class 6 Maths - Data Handling

II

NCERT Solutions for Class 6 Maths - Data Handling

III

NCERT Solutions for Class 6 Maths - Data Handling

IV

NCERT Solutions for Class 6 Maths - Data Handling

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 only 6 girls. Therefore, the minimum number of girl students are in Class VIII.
(b) No. Class V has 10 girl students and Class VI has 16 girl students. Therefore, the number of girls in Class VI are more than the number of girls in Class V.
(c) The number of girls in Class VII are 12.


Q6. The sale of electric bulbs on different days of a week is shown below:

Day

Number of electric bulbs NCERT Solutions for Class 6 Maths - Data Handling - 2 bulbs

Monday

NCERT Solutions for Class 6 Maths - Data Handling

Tuesday

NCERT Solutions for Class 6 Maths - Data Handling

Wednesday

NCERT Solutions for Class 6 Maths - Data Handling

Thursday

NCERT Solutions for Class 6 Maths - Data Handling

Friday

NCERT Solutions for Class 6 Maths - Data Handling

Saturday

NCERT Solutions for Class 6 Maths - Data Handling

Sunday

NCERT Solutions for Class 6 Maths - Data Handling

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) Number of bulbs sold on Friday are 14.
(b) Maximum number of bulbs (18) were sold on Sunday.
(c) On Wednesday and Saturday 8 bulbs are sold. Hence equal number of bulbs were sold on Wednesday and Saturday.
(d) The minimum number of bulbs (8) were sold on Wednesday and Saturday.
(e) The total number of bulbs sold in the given week were 86. So the number of carton required to hold 86 bulb = 86/9 ≈10. Hence, 10 cartons required to hold the bulbs.


Q7. 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 NCERT Solutions for Class 6 Maths - Data Handling = 100 fruit basket s

Rahim

NCERT Solutions for Class 6 Maths - Data Handling

Lakhanpal

NCERT Solutions for Class 6 Maths - Data Handling

Anwar

NCERT Solutions for Class 6 Maths - Data Handling

Martin

NCERT Solutions for Class 6 Maths - Data Handling

Ranjit Singh

NCERT Solutions for Class 6 Maths - Data Handling

Joseph

NCERT Solutions for Class 6 Maths - Data Handling

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?
Ans: 
(a) Martin sold the maximum number of fruit baskets i.e. 950.
(b) Anwar sold 700 fruit basket
(c) Anwar, Martin, 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. 

The document NCERT Solutions for Class 6 Maths - Data Handling is a part of the Class 6 Course Mathematics (Maths) Class 6.
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FAQs on NCERT Solutions for Class 6 Maths - Data Handling

1. What is data handling in mathematics?
Ans. Data handling in mathematics refers to the process of collecting, organizing, representing, and interpreting data. It involves various techniques to summarize and analyze data sets, allowing us to make informed decisions based on the information obtained.
2. What are the different types of data representation methods?
Ans. Different types of data representation methods include tabular representation (using tables), graphical representation (such as bar graphs, pie charts, and line graphs), and statistical measures (like mean, median, and mode). Each method serves to present data in a clear and understandable way.
3. How do you calculate the mean of a data set?
Ans. To calculate the mean of a data set, you sum all the values in the data set and then divide the total by the number of values. The formula is: Mean = (Sum of all values) / (Number of values).
4. What is the importance of using graphs in data handling?
Ans. Graphs are important in data handling because they provide a visual representation of data, making it easier to identify trends, patterns, and relationships. They help in simplifying complex data and enhance understanding for better decision-making.
5. How can one interpret data from a pie chart?
Ans. To interpret data from a pie chart, observe the size of each slice, which represents a portion of the whole. The larger the slice, the greater the proportion of that category in relation to the total. You can also use percentages to understand how each category compares to the others.
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