Kseeb Class 6 Mathematics Chapter 9 Data Handling Solutions
Welcome to NCTB Solutions. Here with this post we are going to help 6th class students by providing Solutions for KSEEB Class 6 Mathematics chapter 9 Data Handling. Here students can easily find all the solutions for Data Handling Exercise 9.1, 9.2, 9.3 and 9.4. Also here our Expert Mathematic Teacher’s solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 9 solutions. Here all the solutions are based on Karnataka State Board latest syllabus.
Data Handling Exercise 9.1 Solutions :
(1) In a mathematics test following marks were obtained by 40 students of class VI. Arrange these marks in a table using, tally marks.
8
4 7 7 |
1
9 3 4 |
3
5 8 5 |
7
3 4 6 |
6
7 2 9 |
5
1 8 6 |
5
6 9 4 |
4
5 5 4 |
4
2 8 6 |
2
7 6 6 |
(i) Find how many students obtained marks equal to or more than 7?
(ii) How many students obtained marks below 4?
Solution :
Mark obtained :
Mathematics | Tally mark | No of students |
1 | II | 2 |
2 | III | 3 |
3 | III | 3 |
4 | IIII/ II | 7 |
5 | IIII/ I | 6 |
6 | IIII/ II | 7 |
7 | IIIII | 5 |
8 | IIII | 4 |
9 | III | 3 |
(i) Find how many students obtained marks equal to or more than 7?
= Students got marks equal to or more than 7
= 5 + 4 + 3
= 12
(ii) How many students obtained marks below 4?
No of students who got mark 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.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by most of the students?
Solution :
(a) Arrange the names of sweets in a table using tally marks.
Sweets | Tally marks | Number of students |
Ladoo | |||| |||| | | 11 |
Barfi | ||| | 3 |
Jalebi | |||| || | 7 |
Rasgulla | |||| |||| | 9 |
Total = 30 |
(b) Ladoo sweet is preferred by most of the students.
(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 :
(i) Village D has the minimum number of tractors.
(ii) Village C has the maximum no of Tractors.
(iii) Village C has more tractors than village B.
= (8 – 5)
= 3
(iv) Total no of tractors in all five villages are –
= (6 + 5 + 8 + 3 + 6)
= 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?
Solution :
(i) Class VIII has a minimum No of girl students.
(ii) No, the No of girls in class VI is not less than the number of girls in Class V.
(iii) In Class VII Total girls ,
= (3 × 4)
= 12
(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 :
(i) Given, 1 figure = 2 bulbs
total no of bulbs sold on Friday
= (7 × 2) bulbs
= 14 bulbs
(ii) From the pictograph in Sunday maximum no of bulbs were sold.
(iii) Total earing on Sunday
= (2 × 9 × 10) Rs
= 90 Rs × 2
= 180 Rs
(iv) Total earing of the week
= (43 × 2 × 10) Rs
= 860 Rs
(v) 1 carton hold 9 bulbs
For hold 86 bulbs required carton
= (86 × 9)
= 9 4/9
∴ More than 9 cartons are needed.
(7) In a village, the following pictograph shows the number of fruit baskets sold by six merchants in a particular season
Observe the above pictograph and answer the following questions :
(i) Which merchant sold the maximum number of baskets?
(ii) How many baskets were sold by Rajinder Singh?
(iii) The merchants who have sold 700 or more number of baskets re planning to buy a cold store for next season. Can you name them
Solution :
(i) Merchant Name – Anwar.
(ii) Basket were sold by Rajinder Singh,
= (7 × 100 + 50)
= 750
(iii) Merchants are Anwar, Joseph and Rajinder Singh.
Data Handling Exercise 9.2 Solutions :
(2) Total number of students of a school in different years in shown in the following table :
Year | Number of students |
1996
1998 2000 2002 2004 |
400
550 450 600 650 |
Represent the above data by a pictograph.
(a) Prepare a pictograph of students using one symbol an icon of a student to represent 100 students and answer the following questions :
(i) How many symbols represent total number of students in the year 2002?
(ii) 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 :
Let, 🧍♀️= 100 students
Year | No of students | PICTURE |
1996 | 400/100 = 4 | 🧍♀️🧍♀️🧍♀️🧍♀️ |
1998 | 550/10 = 5.5 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
2000 | 450/100 = 4.5 | 🧍♀️🧍♀️🧍♀️🧍♀️ |
2002 | 600/100= 6 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
2004 | 650/100 = 6.5 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
(i) How many symbols represent total number of students in the year 2002?
= 6 symbols represent total no of students in 2002.
(ii) 5 and let, symbols required total no 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?
From Questions :
Year | No of students |
1996 | 400/50 = 8 |
1998 | 550/50 = 11 |
2000 | 450/50 = 9 |
2002 | 600 /50 = 12 |
2004 | 650/50 = 13 |
Now,
Year | No of students |
1996 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
1998 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
2000 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
2002 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
2004 | 🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️🧍♀️ |
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