ICSE Class 8 Maths Selina Solutions for Chapter 22 Data Handling

CHAPTER 22- DATA HANDLING

 Question 1. 

Arrange the following data as an array (in ascending order): 

 (i) 7, 5, 15, 12, 10, 11, 16

Solution:-

Ascending order = 5, 7, 10, 11, 12, 15, 16

 (ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7

Solution:-

 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

Solution:-

 Descending order = 5, 4, 3, 3, 2, 2, 1, 0

 (ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6

Solution:-

 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

Solution:-

 (i) 

Date

Tally Marks

Frequency

5

6

7

8

9

10

llll

llll

lll

llll

lll

lll

4

4

3

5

3

3

 (ii) 3,2,1,5,4,3,2,5,5,4,2,2,2,1,4,1,5,4

Solution:-

(ii)

Date

Tally Marks

Frequency

1

2

3

4

5

lll

llll

ll

llll

llll

3

5

2

4

4

 Question 4.

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

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.

Solution:-

Class Intervals

Tally marks

Frequency

0-10

10-20

20-30

30-40

40-50

lll

llll ll

llll llll

llll l

llll

3

7

9

6

5

Question 5.

Construct 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 14.2 15.3 11.7 9.9 8.8

6.6 4.3 4.7 9.4 10.1 15.5 14.4 12.2 7.7 5.5

Solution:-

Class Intervals

Tally marks

frequency

4-6

6-8

8-10

10-12

12-14

14-16

llll ll

llll lll

llll llll

llll l

lll

llll l

7

8

10

6

3

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 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 the lower limits of a class interval are 16 and 10; the class-interval is 10 – 16

(v) If the lower and the upper limits of a class are 7.5 and 12.5; the class interval is 7.5 – 12.5

 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

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:-

Name of items

Expenditure/saving in Rupees

Central angle

Rent

1800

\(\frac{1800}{7200} \times 360^{\circ}=90^{\circ}\)

Food

2700

\(\frac{2700}{7200} \times 360^{\circ}=135^{\circ}\)

Education

900

\(\frac{900}{7200} \times 360^{\circ}=45^{\circ}\)

Others

1200

\(\frac{1200}{7200} \times 360^{\circ}=60^{\circ}\)

Saving

600

\(\frac{600}{7200} \times 360^{\circ}=30^{\circ}\)

Total

7200

360°

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

Solution:-

Question 4. 

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

Brand

A

B

C

D

Others

% Buyers

35

20

20

15

10

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

Solution:-

Name of brand

% Buyers

Central angle

A

35

\(\frac{35}{100} \times 360^{\circ}=126^{\circ}\)

B

20

\(\frac{20}{100} \times 360^{\circ}=72^{\circ}\)

C

20

\(\frac{20}{100} \times 360^{\circ}=72^{\circ}\)

D

15

\(\frac{15}{100} \times 360^{\circ}=54^{\circ}\)

Others

10

\(\frac{10}{100} \times 360^{\circ}=36^{\circ}\)

100

360°

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.

Solution:-

Question 6.

For the following table, draw a bar-graph

A

B

C

D

E

F

230

400

350

200

380

160

Solution:-

Question 7.

Manoj appeared for ICSE examination 2018and 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.

Solution:-

Question 8.

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

Solution:-

∵ 60+45+42+48+75=270

∴ Central angle for Hindi \(=\frac{60}{270} \times 360^{\circ}=80^{\circ} \)

Central angle for English \(=\frac{45}{270} \times 360^{\circ}=60^{\circ} \)

Central angle for Maths \(=\frac{42}{270} \times 360^{\circ}=45^{\circ}\)

Central angle for science \(=\frac{48}{270} \times 360^{\circ}=64^{\circ}\)

And Central angle for social study \(=\frac{75}{270} \times 360^{\circ}=100^{\circ}\)

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 Rupees)at shop A

Price (in Rupees) at shop B

Tea-set

Mixie

Coffee-marker

Dinner set

900

700

600

600

950

800

700

500

Solution:-

Class 8 Maths Selina Solutions for Chapter 22 Data Handling-9

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