**Data Handling ICSE Class-8th** Concise Selina Mathematics Solutions Chapter-22 . We provide step by step Solutions of Exercise / lesson-22 **Data Handling** for ICSE Class-8 Concise Selina Mathematics.

Our Solutions contain all type Questions with Exe-22 A and Exe-22 B to develop skill and confidence . Visit official Website **CISCE** for detail information about **ICSE** Board **Class-8 **Mathematics.

**Data Handling ICSE Class-8th** Concise Selina Mathematics Solutions Chapter-22

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### Exe -22 A **Data Handling ICSE Class-8th** Concise Selina Mathematics Solutions

**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

**Answer :-**

(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

**Answer :-**

**(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.

**Answer :-**

**(i)**

Data |
Tally Marks |
Frequency |

5 | |||| | 4 |

6 | |||| | 4 |

7 | ||| | 3 |

8 | |||| | 5 |

9 | ||| | 3 |

10 | ||| | 3 |

**(ii)**

Data |
Tally Marks |
Frequency |

1 | ||| | 3 |

2 | |||| | 5 |

3 | || | 2 |

4 | |||| | 4 |

5 | |||| | 4 |

**Question 4 :-**

Following are the marks obtained by 30 students in an examinations.

15 | 20 | 8 | 9 | 10 |

16 | 17 | 20 | 24 | 30 |

44 | 47 | 38 | 36 | 40 |

27 | 25 | 28 | 30 | 19 |

7 | 11 | 21 | 31 | 41 |

37 | 47 | 23 | 20 | 17 |

Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table.

**Answer :-**

Class Intervals |
Tally Marks |
Frequency |

0-10 | ||| | 3 |

10-20 | |||| || | 7 |

20-30 | |||| |||| | 9 |

30-40 | |||| | | 6 |

40-50 | |||| | 5 |

**Question 5 :-**

Construct a frequency distribution table for the following data ; taking class-intervals 4-6, 6-8, ……… 14-16.

11.5 | 6.3 | 7.8 | 9.2 | 10.5 |

4.5 | 6 | 8.3 | 12.5 | 15.8 |

7.4 | 5.3 | 8.4 | 15.2 | 8.9 |

9.8 | 8.25 | 6.5 | 5.8 | 10.5 |

4.6 | 6.4 | 8.9 | 10.8 | 12.7 |

6.6 | 4.3 | 4.7 | 9.4 | 10.1 |

15.5 | 14.4 | 12.2 | 7.7 | 5.5 |

**Answer :-**

Class Intervals |
Tally Marks |
Frequency |

4-6 | |||| || | 7 |

6-8 | |||| ||| | 8 |

8-10 | |||| |||| | 10 |

10-12 | |||| | | 6 |

12-14 | ||| | 3 |

14-16 | |||| | | 6 |

**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 ……..

**Answer :-**

(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**

**Data Handling Exe-22 B for ICSE Class-8th** Concise Selina Mathematics

**Question 1 :-**

Hundred students from a certain locality use different modes of travelling to school as given below. Draw a bar graph.

Bus | Car | Rickshaw | Bicycle | Walk |

32 | 16 | 24 | 20 | 8 |

**Answer :-**

**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.

**Answer :-**

Name of items |
Expenditure/Saving in Rupees |
Central angle |

Rent | 1800 | 1800/7200×360º=90º |

food | 2700 | 2700/7200×360º=135º |

Education | 900 | 900/7200×360º=45º |

Others | 1200 | 1200/7200×360º=60º |

Saving | 600 | 600/7200×360º=30º |

Total | 7200 | 360º |

**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.

English | Hindi | Maths | Science | Social Studies |

85 | 60 | 35 | 50 | 70 |

Answer :-

**Question 4 :-**

The following table shows the market position of different brand of tea-leaves.

Brand | A | B | C | D | others |

% of Buyers | 35 | 20 | 20 | 15 | 10 |

Draw it-pie-chart to represent the above information.

**Answer :-**

Name of brand |
% of Buyers |
Central angle |

A | 35 | 35/100×360º=126º |

B | 20 | 20/100×360º=72º |

C | 20 | 20/100×360º=72º |

D | 15 | 15/100×360º=54º |

Others | 10 | 10/100×360º=36º |

100 | 360º |

**Question 5 :-**

Students of a small school use different modes of travel to school as shown below:

Mode | Bus | Car | Bicycle | Auto | On foot |

No. of students | 142 | 98 | 50 | 34 | 16 |

Draw a suitable bar graph.

**Answer :-**

**Question 6 :-**

For the following table, draw a bar-graph

A | B | C | D | E | F |

230 | 400 | 350 | 200 | 380 | 160 |

**Answer :-**

**Question 7 :-**

Manoj appeared for ICSE examination 2018 and secured percentage of marks as shown in the following table:

Subject | Hindi | English | Maths | Science | Social Study |

Marks as percent | 60 | 45 | 42 | 48 | 75 |

Represent the above data by drawing a suitable bar graph.

**Answer :-**

**Question 8 :-**

For the data given above in question number 7, draw a suitable pie-graph.

**Answer :-**

∵ 60 + 45 + 42 + 48 + 75 = 270

∴ Central angle for Hindi = 60/270×360º = 80º

Central angle for English = 45/270×360º = 60º

Central angle for Maths = 42/270×360º = 45º

Central angle for Science = 48/270×360º = 64º

and Central angle for Social study = 75/270×360º = 100º

**Question 9 :-**

Mr. Kapoor compares the prices (in Rs.) of different items at two different shops A and B. Examine the following table carefully and represent the data by a double bar graph.

Items | Price (in ₹) at the shop A | Price (in ₹) at the shop B |

Tea-set | 900 | 950 |

Mixie | 700 | 800 |

Coffee-maker | 600 | 700 |

Dinner set | 600 | 500 |

**Answer :-**

**Question 10 :-**

The following tables shows the mode of transport used by boys and girls for going to the same school.

Bus | Bicycle | Walking | Other sources | |

Number of boys | 80 | 60 | 20 | 85 |

Number of girls | 90 | 75 | 35 | 60 |

Draw a double bar graph representing the above data.

**Answer :-**

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