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7th class > Data Handling > Exercise 3.3

Exercise 3.3

1. Use the bar graph (Fig 3.3) to answer the following questions.

Fig 3.3

Solution:

We study the given bar graph and extract the required information.

From the given bar graph in the figure, we have

(a) Which is the most popular pet?

are the most popular pet among the students as 10 students have cats as their pet.

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

students have dogs as a pet animal.

2. 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:

Fig 3.4

a

Solution:

We use the given bar graph to answer the given questions accurately.

From the given bar graph, we have

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

In 1989, about books were sold. In 1990, about books were sold. In 1992, about 230 books were sold.

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

In about 475 books were sold and in , about 225 books were sold.

b

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

In and fewer than 250 books were sold.

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

From the graph, we can conclude that books were sold in 1989. This can be estimated by drawing a line from the top of 1989 bar to the y-axis.

3. Number of children in six different classes are given below. Represent the data on a .

Solution:

a

ClassFifthSbar graphixthSeventhEighthNinthTenth
Number of Children135120951009080

bar graph

(a) How would you choose a scale?

Scale on y-axis is 1 unit = children

(b) Answer the following questions:

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

Fifth class has the maximum number of children i.e.

The tenth class has the minimum number of children i.e.

Number of students in class sixth =

b

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

Number of students in class eighth =

Number of students in class sixth = s

Ratio of Number of students in class eighth to number of students in class sixth = 120 : 100 = 6:5 = 6 : 5

5. Consider this data collected from a survey of a colony.

Favourite SportCricketBasket BallSwimmingHockeyAthletics
Watching1240470510430250
Participating620320320250105

a

Solution:

We use the given table to draw the double bar graph as per the question.

(i) Draw a double bar graph choosing an appropriate scale.What do you infer from the bar graph?

This bar graph shows the number of people who are watching and participating in their favorite sports.

bar graph

b

(ii) Which sport is most popular?

is the most popular sport.

(iii) Which is more preferred, watching or participating in sports?

different sports is more preferred than in the sports.

6. 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 answer the following:

a

Solution:

Given Table 3.1

CityMaxMin
Ahmedabad38°C29°C
Amritsar37°C26°C
Banglore28°C21°C
Chennai36°C27°C
Delhi38°C28°C
Jaipur39°C29°C
Jammu41°C26°C
Mumbai32°C27°C

Difference between the maximum and minimum temperature on 20.06.2006

Ahmedabad = (38°c - 29°c) = °c

Amritsar = (37°c - 26°c) = °c

Bangalore = (28°c - 21°c) = °c

Chennai = (36°c - 27°c) = °c

Delhi = (38°c - 28°c) = °c

Jaipur = (39°c - 29°c) = °c

Jammu = (41°c - 26°c) = °c

Mumbai = (32°c - 27°c) = °c

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

As it is clear from the above calculation, Jammu has the largest difference in the minimum and maximum temperature on the given data that is °c.

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

Jammu is the hottest city with 41°c and Bangalore is the coldest city with ° c

b

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

and Jaipur or Bangalore and are the two cities where the maximum temperature of 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.

Mumbai has the least difference between its minimum and maximum temperature.

Maximum temperature = °c

Minimum temperature = °c