# EXERCISE – 3.3

Q1. Use the bar graph ( fig 3.3) to answer the following questions.

(a) Which is the most popular pet?

(b) How many students have dog as a pet ?

Scale: 1 unit = 100 books

SOLUTION:-

(a) From bar graph, the most popular pet is cat. It is owned by the 10 students out of 12 students.

(b) From the bar graph, 8 students have dog as a pet out of 12 students.

Q2. Read the bar graph (FIG 3.4) which shows the number of books sold by a bookstore during

five consecutive years and answer the following questions:

(i) About how many books were sold in 1989? 1990? 1992?

(ii) In which year were about 475 books sold? About 225 books sold?

(iii) In which years were fewer than 250 books sold?

(iv) Can you  explain how you would estimate the numbers of books sold in 1989?

SOLUTION:-

(i) By observing bar graph,

175 books were sold in the year 1989.

475 books were sold in the year 1990.

225 books were sold in the year of  1992.

(ii) By observing bar graph,

475 books were sold in the year 1990.

225 books were sold in the year 1992.

(iii) By observing bar graph,

In the years 1989 and 1992, the numbers of books sold were less than 250.

(iv) By observing the bar graph, we can conclude that,

The number of books sold in the year 1989 is about 1 and ¾ th part of 1 cm.

WKT, Scale is taken as 1 cm = 100 books

= 100 + (  ¾ x 100)

= 100 + ( 3 x 25)

= 100 + 75

= 175

Q3. Numbers of children in six different classes are given below. Represents the data on a bar graph .

(a) How would you choose a scale ?

(i) Which class has the maximum numbers of children? And the minimum?

(ii) Find the ratio of students of class sixth to the students of class eight.

 Class Fifth Sixth Seventh Eighth Ninth Tenth Number of children 135 120 95 100 90 80

(a) We will take the scale as 1 unit = 10 children.

Because, we can represents a better and clear difference among the number of students of class 7 th and class 9 th

(b)(i) Class 5 th has the maximum number of children i.e. 135 and class 7 th has the minimum number of children i.e 95.

(ii) The total numbers of students in class 6 th is 120 and the total numbers of students in class 8 th is 100

Then,

= (120/100)

= 6/5

= 6 : 5

Q4. The performance of a student in 1st term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

 Subject English Hindi Maths Science S.Science 1st (M.M. 100) 67 72 88 81 73 2ND(M.M. 100) 70 65 95 85 75

(i) In which subject has the child improved his performance the most?

(ii) In which subjects is the improvement the least ?

(iii) Has the performance gone down in any subject ?

SOLUTION:-

(i) By observing the double bar graph there was a maximum marks increase in the maths subject. So the child has improved his performance in maths .

(ii) By observing the double bar graph the improvement was the least in S.Science

(iii) By observing the double bar graph the performance in hindi has gone down.

Q5. Consider the data collected from survey of a colony .

(i) Draw a double bar graph choosing an appropriate scale.

(ii) Which sport is most popular ?

(iii) Which is more preferred , watvhing or participation in sports?

 Favourite sport Cricket Basket ball Swimming Hockey Athletics Watching 1240 470 510 430 250 Participating 620 320 320 250 105

SOLUTION:-

(i) The fig above is the double bar graph. Which represents the people who prefer either watching or participating in different sports. By observing the double bar graph , we came to conclude that most of the people like watching and participating cricket while. least numbers of people like watching and participating in Athletics .

(ii) By observing the double bar graph , we came to conclude that the people who like watching and participating in cricket is the tallest among all the bars . So, cricket is the most popular sport.

(iii) By observing the double bar graph, conclude that watching sports has more preference rather than participating in sports.

Q6.Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this chapter (Table 3.1) . Plot a double bar graph using the data and answers the following:

(i) Which city has the largest difference in the minimum and maximum temperature on the given date ?

(ii) Which is the hottest city and which is the coldest city ?

(iii) Name two cities where maximum temperature of the one was less than the minimum temperature of the other?

(iv) Name the city which has the  least difference between its minimum and the maximum temperature.

SOLUTION:-

(i) By observing the double bar graph, we came to conclude that jammu has the largest difference in the minimum and maximum temperature on 20.6.2006

(ii) By observing the double bar graph, we came to conclude that jammmu is the hottest city and banglore is the coldest city

(iii) By observing the double bar graph, Banglore and Jaipur, banglore and Ahmedabad . For Bangalore, the maximum temperature was 280C. , while minimum temperature of both Ahmadabad and Jaipur was 290C.

(iv) By observing the double bar graph, Mumbai has the least difference between its minimum and the maximum temperature.