Loading....
Coupon Accepted Successfully!

 

Question 4

Make a circle graph to show the number of votes received in the election of class monitor.

Mona - 6 votes, Payal -10 votes, Prashant -2 votes, Sona -20 votes, Rajen -15 votes, Meera -4 votes, Subhash - 3 votes.


Solution:

Total number of votes = 6 + 10 + 2 + 20 + 15 + 4 + 3 = 60

The central angles corresponding to the various votes:

Mona:

Prashat:

Rajen:

Subhash:

Payal:

Sona:

Meera:


Question 5

Nine hundred men volunteered for joining the armed force. The pie-graph represents the proportion of men in the different armed services. Study the pie-graph and answer the questions given below:
 

(i) Find how many men volunteered for each service?

(ii) What percent of the men volunteered to join Navy force?


Solution:
(i) Number of men joining Army force =

Number of men joining Air force =

Number of men joining Navy force

Number of men joining Marine force

(ii) Percent of the men volunteered to join Navy force



Question 6

There are 1000 workers who travel from home to factory.

The pie-graph shows the proportion of workers using various mode for traveling to work.

Study the pie-graph and answer the questions given below:

How many workers travel to factory

(i) by bus? (ii) by train? (iii) by cycle? (iv) on foot?


Solution:
Totally there are 1000 workers.

(i) No. of workers traveling by bus =

(ii) No. of workers traveling by train =

(iii) No. of workers traveling by cycle =

(iv) No. of workers traveling on foot =


Question 7

In a school, there are five sections of class VIII. The number of students in each section is given below. Construct a bar graph representing this data:
 

Section

A

B

C

D

E

Number of students

40

48

52

45

30


Solution:


Question 8

Read the following bar graph and answer the following questions:

(i) What information is given by the bar graph?

(ii) In which year the export is minimum?

(iii) In which year the import is maximum?

(iv) In which year the difference of the values of export and import is maximum?


Solution:
(i) The bar graph talks about the export and import in 100 crores of rupees from 1982 to 1987.

(ii) The export is minimum during the year 1982-83.

(iii) The import is maximum during the year 1986-87.

(iv) The difference of the values of export and import is maximum during the year 1986-87.

Question 10

Study the following bar graph which shows the allocation of periods to different subjects in the secondary level in India and Russia.

a. How many periods are given to mathematics in each country?

b. Which subject has more periods in India?

c. Which subjects have the same number of periods in both the countries?

d. Which subject is not given proper attention in India while in Russia it gets proper attention?

e. Prepare a table showing the number of periods for each subject in each country.


Solution:

a. India 6 periods. Russia 8 periods

b. Science

c. Social Sciences

d. Field training

e. Table is given below.

Subjects

India

Russia

Native Language

Foreign Language

Mathematics

Social Science

Science/Technology

Physical Education

Art/Music/Library

Field Training

7

6

6

5

9

2

5

0

6

4

8

5

8

5

1

3

Total

40

40


Question 11

Sikander spent his day in the following manner:

6 AM -9AM at home?'

9AM - 3PM at school

3PM - 5PM at play field

5PM - 9PM at home

9PM - 6AM sleep

Illustrate the above by a pie diagram


Solution:
Angle for  "at home"?

Angle for "Sleep"?

Angle for "at school"?

Angle for "at playfield"?

Draw a circle of convenient radius and draw radius to start with. Mark off the different angles and divide the circle into corresponding sectors.

Question 12

Look at the histogram and answer the following:

1. What is the variable being represented by the histogram? Is the discrete or continuous?

2. How many students are over 170cm tall?

3. How many students are there in all?

4. What is the minimum height possible of the shortest student?

5. What is the minimum height possible of the tallest student?


Solution:
1. The variable being represented is the height of the students in a class. It is continuous since it has to be measured and not counted

2. There are 9 + 5 = 14 students over 170cm tall

3. There are thirty students in all

4. The lowest class interval is 150cm ?155cm, so the minimum height possible is 150cm

5. The highest class interval is 175cm ?180cm, so the maximum height possible in that group is 175cm.

Question 13

List given below was made by a researcher to record the number of bacteria in each sample side. Draw a histogram for the data.

 

Solution:
Make a frequency table for the given observation.
 

Project Z

Number of bacteria

Number of slides

0-10

11

10-20

10

20-30

8

30-40

11

40-50

8

50-60

10

Total 58

Question 14

Read the following histogram and answer the questions given at the end:

(i) What information is depicted by the histogram?

(ii) Which group contains the maximum number of girls?

(iii) Which groups contain the same number of girls?

(iv) Heights of how many girls are 145 cm or more?


Solution:
(i) The histogram depicts the heights (in cm) of 17 girls of a class

(ii) The group 140-145 has the maximum number of girls

(iii) Number of girls in the following groups are equal:

125-130 and 155-160

130-135 and 150-155

135-140 and 145-150

(iv) Heights of 6 girls are 145 cm or more

Question 15

A school bag has 3 science books, 3 social studies books, 1 maths book, 2 language books. What is the probability of getting a science book? Is it more or less than getting a social studies book?


Solution:
There are in all (3 + 3 + 1 + 2 = 9) outcomes of the event.

Getting a science book consists of 3 outcomes

Probability of getting a science book is

In the same way

Probability of getting a social studies book

Therefore probability of getting a science book is same as getting a social studies book.

Question 16

Give two examples for which outcomes are equally likely.

 


Solution:
1. In tossing a coin getting head or tail

2. While throwing a die getting any one of 6 numbers on its faces.





Test Your Skills Now!
Take a Quiz now
Reviewer Name