Selina Textbook Solutions: Data Handling | Mathematics Class 8 ICSE PDF Download

 Page 1


EXERCISE 22 (A) 
Question 1. 
Arrange the following data as an array (in ascending order): 
(i) 7, 5, 15, 12, 10, 11, 16 
(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7 
Solution: 
(i) Ascending order = 5, 7, 10, 11, 12, 15, 16 
(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3 
Question 2. 
Arrange the following data as an array (descending order): 
(i) 0 2, 0, 3, 4, 1, 2, 3, 5 
(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6 
Solution: 
(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0 
(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7 
Question 3. 
Construct a frequency table for the following data: 
(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8. 
(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4. 
Solution: 
(i) 
 
22. Data Handling 
Page 2


EXERCISE 22 (A) 
Question 1. 
Arrange the following data as an array (in ascending order): 
(i) 7, 5, 15, 12, 10, 11, 16 
(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7 
Solution: 
(i) Ascending order = 5, 7, 10, 11, 12, 15, 16 
(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3 
Question 2. 
Arrange the following data as an array (descending order): 
(i) 0 2, 0, 3, 4, 1, 2, 3, 5 
(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6 
Solution: 
(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0 
(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7 
Question 3. 
Construct a frequency table for the following data: 
(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8. 
(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4. 
Solution: 
(i) 
 
22. Data Handling 
(ii) 
 
Question 4. 
Following are the marks obtained by 30 students in an examinations. 
 
Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table. 
Solution: 
 
Question 5. 
Construct a frequency distribution table for the following data ; taking class-intervals 4-6, 
6-8, ……… 14-16. 
Page 3


EXERCISE 22 (A) 
Question 1. 
Arrange the following data as an array (in ascending order): 
(i) 7, 5, 15, 12, 10, 11, 16 
(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7 
Solution: 
(i) Ascending order = 5, 7, 10, 11, 12, 15, 16 
(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3 
Question 2. 
Arrange the following data as an array (descending order): 
(i) 0 2, 0, 3, 4, 1, 2, 3, 5 
(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6 
Solution: 
(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0 
(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7 
Question 3. 
Construct a frequency table for the following data: 
(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8. 
(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4. 
Solution: 
(i) 
 
22. Data Handling 
(ii) 
 
Question 4. 
Following are the marks obtained by 30 students in an examinations. 
 
Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table. 
Solution: 
 
Question 5. 
Construct a frequency distribution table for the following data ; taking class-intervals 4-6, 
6-8, ……… 14-16. 
 
Solution: 
 
Question 6. 
Fill in the blanks: 
(i) Lower class limit of 15-18 is ……… 
(ii) Upper class limit of 24-30 is …….. 
(iii) Upper limit of 5-12.5 is ……… 
(iv) If the upper and the lower limits of a class interval are 16 and 10 ; the class-interval 
is …….. 
(v) If the lower and the upper limits of a class interval are 7.5 and 12.5 ; the class 
interval is …….. 
Solution: 
(i) Lower class limit of 15 – 18 is 15. 
(ii) Upper class limit of 24 – 30 is 30. 
(iii) Upper limit of 5 – 12.5 is 12.5 
(iv) If the upper and lower limits of a class interval are 16 and 10 ; the class interval 
is 10 – 16 
(v) If the lower and upper limits of a class interval are 7.5 and 12.5 ; the class interval 
is 7.5 – 12.5 
Page 4


EXERCISE 22 (A) 
Question 1. 
Arrange the following data as an array (in ascending order): 
(i) 7, 5, 15, 12, 10, 11, 16 
(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7 
Solution: 
(i) Ascending order = 5, 7, 10, 11, 12, 15, 16 
(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3 
Question 2. 
Arrange the following data as an array (descending order): 
(i) 0 2, 0, 3, 4, 1, 2, 3, 5 
(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6 
Solution: 
(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0 
(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7 
Question 3. 
Construct a frequency table for the following data: 
(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8. 
(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4. 
Solution: 
(i) 
 
22. Data Handling 
(ii) 
 
Question 4. 
Following are the marks obtained by 30 students in an examinations. 
 
Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table. 
Solution: 
 
Question 5. 
Construct a frequency distribution table for the following data ; taking class-intervals 4-6, 
6-8, ……… 14-16. 
 
Solution: 
 
Question 6. 
Fill in the blanks: 
(i) Lower class limit of 15-18 is ……… 
(ii) Upper class limit of 24-30 is …….. 
(iii) Upper limit of 5-12.5 is ……… 
(iv) If the upper and the lower limits of a class interval are 16 and 10 ; the class-interval 
is …….. 
(v) If the lower and the upper limits of a class interval are 7.5 and 12.5 ; the class 
interval is …….. 
Solution: 
(i) Lower class limit of 15 – 18 is 15. 
(ii) Upper class limit of 24 – 30 is 30. 
(iii) Upper limit of 5 – 12.5 is 12.5 
(iv) If the upper and lower limits of a class interval are 16 and 10 ; the class interval 
is 10 – 16 
(v) If the lower and upper limits of a class interval are 7.5 and 12.5 ; the class interval 
is 7.5 – 12.5 
 
Solution: 
 
Question 2. 
Mr. Mirza’s monthly income is Rs. 7,200. He spends Rs. 1,800 on rent, Rs. 2,700 on 
food, Rs. 900 on education of his children ; Rs. 1,200 on Other things and saves the 
rest. 
Draw a pie-chart to represent it. 
Solution: 
EXERCISE 22 (B) 
Question 1. 
Hundred students from a certain locality use different modes of travelling to school as 
given below. Draw a bar graph. 
Page 5


EXERCISE 22 (A) 
Question 1. 
Arrange the following data as an array (in ascending order): 
(i) 7, 5, 15, 12, 10, 11, 16 
(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7 
Solution: 
(i) Ascending order = 5, 7, 10, 11, 12, 15, 16 
(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3 
Question 2. 
Arrange the following data as an array (descending order): 
(i) 0 2, 0, 3, 4, 1, 2, 3, 5 
(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6 
Solution: 
(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0 
(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7 
Question 3. 
Construct a frequency table for the following data: 
(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8. 
(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4. 
Solution: 
(i) 
 
22. Data Handling 
(ii) 
 
Question 4. 
Following are the marks obtained by 30 students in an examinations. 
 
Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table. 
Solution: 
 
Question 5. 
Construct a frequency distribution table for the following data ; taking class-intervals 4-6, 
6-8, ……… 14-16. 
 
Solution: 
 
Question 6. 
Fill in the blanks: 
(i) Lower class limit of 15-18 is ……… 
(ii) Upper class limit of 24-30 is …….. 
(iii) Upper limit of 5-12.5 is ……… 
(iv) If the upper and the lower limits of a class interval are 16 and 10 ; the class-interval 
is …….. 
(v) If the lower and the upper limits of a class interval are 7.5 and 12.5 ; the class 
interval is …….. 
Solution: 
(i) Lower class limit of 15 – 18 is 15. 
(ii) Upper class limit of 24 – 30 is 30. 
(iii) Upper limit of 5 – 12.5 is 12.5 
(iv) If the upper and lower limits of a class interval are 16 and 10 ; the class interval 
is 10 – 16 
(v) If the lower and upper limits of a class interval are 7.5 and 12.5 ; the class interval 
is 7.5 – 12.5 
 
Solution: 
 
Question 2. 
Mr. Mirza’s monthly income is Rs. 7,200. He spends Rs. 1,800 on rent, Rs. 2,700 on 
food, Rs. 900 on education of his children ; Rs. 1,200 on Other things and saves the 
rest. 
Draw a pie-chart to represent it. 
Solution: 
EXERCISE 22 (B) 
Question 1. 
Hundred students from a certain locality use different modes of travelling to school as 
given below. Draw a bar graph. 
 
 
Question 3. 
The percentage of marks obtained, in different subjects by Ashok Sharma (in an 
examination) are given below. Draw a bar graph to represent it. 
 
Solution: