RS Aggarwal 2019 2020 Solutions for Class 7 Math Chapter 22 - Bar Graphs

Question 1:

Question 2:

We can draw the bar graph by following the given steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the names of the subjects at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 10 marks
1 small division = 1 mark

Step 4.- Heights of the various bars are:
   Hindi = 43 small divisions = 4 big divisions and 3 small divisions
   English = 56 small divisions = 5 big divisions and 6 small divisions
   Maths = 80 small divisions = 8 big divisions
   Science = 65 small divisions = 6 big divisions and 5 small divisions
   Social Science = 50 small divisions = 5 big divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

Question 3:

We can draw the bar graph by following the given steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the names of the sports at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 10 students
1 small division = 1 student

Step 4.- Heights of the various bars:
   Cricket = 75 small divisions = 7 big divisions and 5 small divisions
   Football = 35 small divisions = 3 big divisions and 5 small divisions
   Tennis = 50 small divisions = 5 big divisions
   Badminton = 25 small divisions = 2 big divisions and 5 small divisions
   Swimming = 65 small divisions = 6 big divisions and 5 small divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

Question 4:

We can draw the bar graph by following the given steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the years at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 100 students
1 small division = 10 student

Step 4.- Heights of the various bars:
    2011-2012 = 80 small divisions = 8 big divisions
    2012-2013 = 97.5 small divisions = 9 big divisions and 7.5 small divisions
    2013-2014 = 110 small divisions = 11 big divisions
    2014-2015 = 140 small divisions = 14 big divisions
    2015-2016 = 162.5 small divisions = 16 big divisions and 2.5 small divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 5:

We can draw the bar graph by following the given steps:-
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the years at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 2000 scooters
1 small division = 200 scooters

Step 4.- Heights of the various bars:
    2011 = 55 small divisions = 5 big divisions and 5 small divisions
    2012 = 70 small divisions = 7 big divisions
    2013 = 62.5 small divisions = 6 big divisions 2.5 small divisions
    2014 = 87.5 small divisions = 8 big divisions and 7.5 small divisions
    2015 = 75 small divisions = 7 big divisions and 5 small divisions
    2016 = 120 small divisions = 12 big divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 6:

We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the names of the countries at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 5 unit
2 small division = 1 unit

Step 4.- Heights of the various bars:
   China = 84 small divisions = 8 big divisions and 4 small divisions
   India = 70 small divisions = 7 big divisions
   Germany = 28 small divisions = 2 big divisions and 8 small divisions
   U.K. = 56 small divisions = 5 big divisions and 6 small divisions
   Sweden = 42 small divisions = 4 big divisions and 2 small divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 7:

The graph obtained is as follows:

Question 8:

We can draw the bar graph by following the given steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the years at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 10 thousand crore rupees
1 small division = 1 thousand crore rupees

Step 4.- Heights of the various bars:
    1998−99 = 70 small divisions = 7 big divisions
    1999−2000 = 84 small divisions = 8 big divisions and 4 small divisions
    2000−2001 = 98 small divisions = 9 big divisions and 8 small divisions
    2001−2002 = 106 small divisions = 10 big divisions and 6 small divisions
    2002−2003 = 120 small divisions = 12 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
 

Question 9:

We can draw the bar graph by following steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the names of the cities at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 100 km
1 small division = 10 km

Step 4.- Heights of the various bars:
    Kolkata = 134 small divisions = 13 big divisions and 4 small divisions
    Mumbai = 110 small divisions = 11 big divisions
    Chennai = 170 small divisions = 17 big divisions
    Hyderabad = 122 small divisions = 12 big divisions and 2 small divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 10:

We can draw the bar graph by following the given steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the names of the countries at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 10 years
1 small division = 1 year

Step 4.- Heights of the various bars:
   Japan = 76 small divisions = 7 big divisions and 6 small divisions
   India = 57 small divisions = 5 big divisions and 7 small divisions
   Britain = 70 small divisions = 7 big divisions
   Ethiopia = 43 small divisions = 4 big divisions and 3 small divisions
   Cambodia = 36 small divisions = 3 big divisions and 6 small divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

 

Question 11:

We can draw the bar graph by following steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the years at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 20 thousand crore rupees
1 small division = 2 thousand crore rupees

Step 4.- Heights of the various bars:
    2001−02 = 74 small divisions = 7 big divisions and 4 small divisions
    2002−03 = 88 small divisions = 8 big divisions and 8 small divisions
    2003−04 = 102 small divisions = 10 big divisions and 2 small divisions
    2004−05 = 116 small divisions = 11 big divisions and 6 small divisions
    2005−06 = 90 small divisions = 9 big divisions

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 12:

We can draw the bar graph by following the given steps:

Step 1- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2- Along OX, write the names of the months at the points taken at a uniform gap.

Step 3- Choose the scale:
1 big division = 5 cm
2 small divisions = 1 cm

Step 4- Heights of the various bars:
   June = 50 small divisions = 5 big divisions
   July = 60 small divisions = 6 big divisions
   August = 80 small divisions = 8 big divisions
   September = 40 small divisions = 4 big divisions
   October = 20 small divisions = 2 big divisions
   November = 10 small divisions = 1 big division

Step 5- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 13:

We can draw the bar graph by following the given steps:

Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2.- Along OX, write the names of the brands at the points that are taken at a uniform gap.

Step 3.- Choose the scale:
1 big division = 5% 
2 small divisions = 1%

Step 4.- Heights of the various bars:
   A = 90 small divisions = 9 big divisions
   B = 50 small divisions = 5 big divisions
   C = 30 small divisions = 3 big divisions
   D = 20 small divisions = 2 big divisions
   Others = 10 small divisions = 1 big division

Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 14:

We can draw the bar graph by following the given steps:

Step 1- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2- Along OX, write the names of the week at the points that are taken at a uniform gap.

Step 3- Choose the scale:
1 big division = Rs 500
1 small division = Rs 50

Step 4- Heights of the various bars:
    First week = 170 small divisions = 17 big divisions
    Second week = 175 small divisions = 17 big divisions and 5 small divisions
    Third week = 181 small divisions = 18 big divisions and 1 small division
    Fourth week = 185 small divisions = 18 big divisions and 5 small divisions

Step 5- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 15:

We can draw the bar graph by following the given steps:

Step 1- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.

Step 2- Along OX, write the names of the modes of transport at the points taken at a uniform gap.

Step 3- Choose the scale:
1 big division = 50 students
1 small division = 5 student

Step 4- Heights of the various bars:
    School bus = 128 small divisions = 12 big divisions and 8 small divisions
    Private bus = 72 small divisions = 7 big divisions and 2 small divisions
    Bicycle = 98 small divisions = 9 big divisions and 8 small divisions
    Rickshaw = 42 small divisions = 4 big divisions and 2 small divisions
    By foot = 30 small divisions = 3 big divisions

Step 5- Draw the bars of equal width on x-axis. The difference between the two bars should also be the same.

We get the following bar graph:

Question 16:

(i) The bar graph shows the marks obtained by a student in an examination in various subjects.

(ii) The student is very good in mathematics.

(iii) The student is poor in Hindi.

(iv) Marks scored in English = 60
      Marks scored in Hindi = 35
      Marks scored in mathematics = 75
      Marks scored in social science = 50
      Marks scored in science = 60

∴ Average marks = $\frac{60+35+75+50+60}{5} = \frac{280}{5}=56$

Question 17:

(i) The bar graph shows the number of members in each of the 85 families.

(ii) 40 families have three members each.

(iii) Number of people living alone = 85 − (5+40+25+15)
                                                        = 85 − 85
                                                        = 0

(iv) The most common family is that with three members.
       Each such family has three members .

Question 18:

(i) Mount Everest is the highest peak and it's height is 8800 m.

(ii) Height of the highest peak, Mount Everest = 8800 m
      Height of the second highest peak, Kanchenjunga = 8200 m

                                                             Ratio = $\frac{8800}{8200} = \frac{44}{41} = 44 : 41$

(iii) Heights of the peaks are 6000 m, 8000 m, 7500 m, 8200 m and 8800 m.
      
Heights in descending order:

8200 m, 8000 m, 7500 m, 6000 m

Question 19:

(i)

(ii) On Tuesday the number os readers in the library were maximum = 400 + 450 =850
(iii) Mean nnumber of magazine readers = $\frac{200+450+300+250+100+50}{6}=\frac{1350}{6}=225$

Question 20:

(i) Maximaum number of students are in Class VI
(ii) Ratio = $\frac{85}{90}=\frac{17}{18}$
(iii) Percentage of class IX absent =$\frac{6}{75}\times 100=8$%

Question 21:

(i) Maximum sunlight in Aberdeen is during June (8 hours)
(ii) Minimum sunlight in Margate is during January (1.5 hours)

Question 22:

(i) 


(ii) Maximum population growth was in Town A
(iii) Least population growth in Town D