# 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:-