The table given below shows the population of four towns over two years. Towns A B C D 2016 640000 830000 460000 290000 2017 750000 920000 630000 320000 (i) Draw a bar graph using appropriate scale to depict the information given here. (ii) In which town was the population growth maximum. (iii) In which town was the population growth least.

We draw the bar graph in the following steps: Step 1 : On a graph paper first we draw a horizontal line O X and a vertical line O Y , representing the x - axis and y - axis respectively. Step 2 : Along O X , we write the name of the towns given by taking an appropriate uniform gaps and along O Y , we mark the number of population. Step 3 : Choose the scale: 1 unit = 100000 people Step 4 : On x - axis we draw pairs of bars of equal width and of heights for the population of the town in 2016 and the population of the town in 2017 for the given towns. The population change for the four towns given are as follows: Population change in town A = Population in 2017 - Population in 2016 = 75000 - 64000 = 11000 Population change in town B = Population in 2017 - Population in 2016 = 92000 - 83000 = 9000 Population change in town C = Population in 2017 - Population in 2016 = 63000 - 46000 = 17000 Population change in town D = Population in 2017 - Population in 2016 = 32000 - 29000 = 3000 Therefore, from above we can conclude that the population growth was maximum in town C and the population growth was minimum in town D .

Numbers of children in six different classes are given below. Represent the data on a bar graph. Class Fifth Sixth Seventh Eighth Ninth Tenth Number of Children 135 120 95 100 90 80 How would you choose a scale?

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The values i.e., the number of children range from 80 – 135 , so the scale can be taken as 1 cm = 10 units

Given below is a table which shows the year wise strength of the school. Represent this data by a bar graph Year 2011 - 12 2012 - 13 2013 - 14 2014 - 15 2015 - 16 Number of students 800 975 1100 1400 1625

We can draw the bar graph by following steps: Step 1 : On a graph paper, draw a horizontal line O X as X - axis and vertical line O Y as Y - axis. Step 2 : Along O X , write the names of the countries at the points that are taken at a uniform gap. Step 3 : Choose the scale: Along X - axis, width of each bar = 1 cm Along Y - axis, 2 cm = 10 units Step 4 : The graph obtained is as shown in the figure

Gold prices on 4 Consecutive Tuesdays were as under. Draw a bar graph to show this information. Week First Second Third Fourth Rate per 10 g ₹ 8500 8750 9050 9250

We can draw the bar graph by following steps: Step 1 : On a graph paper, draw a horizontal line O X as X - axis and vertical line O Y as Y - axis. Step 2 : Along O X , write the numbers of the weeks at the points that are taken at a uniform gap. Step 3 : Choose the scale: Along X - axis, width of each bar = 1 cm Along Y - axis, 3 cm = 2500 units Step 4 : The graph obtained is as shown in the figure

The following data shows India's total population (in millions) from 1961 to 2011 . Represent the given data by a bar graph. Year 1961 1971 1981 1991 2001 2011 Population (in millions) 360 420 540 680 1020 1200

We can draw the bar graph by following steps: Step 1 : On a graph paper, draw a horizontal line O X as X - axis and vertical line O Y as Y - axis. Step 2 : Along O X , write the population at the points that are taken at a uniform gap. Step 3 : Choose the scale: Along X - axis, width of each bar = 1 cm Along Y - axis, 2 cm = 250 units Step 4 : The graph obtained is as shown in the figure

The performance of a student in 1 s t Term and 2 n d Term is given. Draw a double bar graph choosing appropriate scale and answer the following: Subjects English Hindi Math Science Social science 1 s t term (max marks 100 ) 67 72 88 81 73 2 n d term (max marks 100 ) 70 65 95 85 75 In which subject has the child improved his performance the most?

A bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. Take subjects on x - axis and marks on y - axis. Difference of marks of the student between the 2 n d and the 1 s t terms is: English: 70 – 67 = 3 , Hindi: 65 – 72 = - 7 , Math: 95 – 88 = 7 Science: 85 – 81 = 4 , Social science: 75 – 73 = 2 The subject in which the child has improved his/her performance the most is Math.

The air distances of four cities from Delhi (in km) are given below. Represent the data by a bar graph. City Kolkata Mumbai Chennai Hyderabad Distance from Delhi (in km) 1340 1100 1700 1220

We can draw the bar graph by following steps: Step 1 : On a graph paper, draw a horizontal line O X as X - axis and vertical line O Y as Y - axis. Step 2 : Along O X , write the names of the cities at the points that are taken at a uniform gap. Step 3 : Choose the scale: Along X - axis, width of each bar = 1 cm Along Y - axis, 2 cm = 500 units Step 4 : The graph obtained is as shown in the figure

The following table shows the imports (in thousand crore rupees) made by India over the last five years. Draw a bar graph to represent this data. Year 2001 - 02 2002 - 03 2003 - 04 2004 - 05 2005 - 06 Imports (in a thousand crore rupees) 148 176 204 232 180

We can draw the bar graph by following steps: Step 1 : On a graph paper, draw a horizontal line O X as X - axis and vertical line O Y as Y - axis. Step 2 : Along O X , write the years at the points that are taken at a uniform gap. Step 3 : Choose the scale: Along X - axis, take years Along Y - axis, 2 units = 50 thousand crores Step 4 : The graph obtained is as shown in the figure

Use the bar graph to answer the following question. Which is the most popular pet?

A bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. Here, maximum numbers of students have cat as a pet. Hence, cat is the most popular pet.

Consider this data collected from a survey of a colony. Favourite Sports Cricket Basketball Swimming Hockey Athletics Watching 1240 470 510 430 250 Participating 620 320 320 250 105 Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?

A bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. It can be inferred from the bar graph that the data given from a survey represents the number of people in the colony who are watching their favourite sports and the number of people who are participating in the sports in the colony.

From the data given below showing the minimum and the maximum temperature of various cities, plot a double bar graph and answer the following: Cities Ahmedabad Amritsar Bangalore Chennai Delhi Jaipur Jammu Mumbai Max Temp(°C) 38 37 28 36 38 39 41 32 Min Temp(°C) 29 26 21 27 28 29 26 27 Which city has the largest difference in the minimum and maximum temperature on the given date?

A double bar graph is a graphical display of information using two bars besides each other at various heights. Difference in the minimum and maximum temperature of the cities Ahmedabad: 29 ° C – 38 ° C = - 9 ° C ; Amritsar: 26 ° C – 37 ° C = - 11 ° C Bangalore: 21 ° C – 28 ° C = - 7 ° C ; Chennai: 27 ° C – 36 ° C = - 11 ° C Delhi: 28 ° C – 38 ° C = - 10 ° C ; Jaipur: 29 ° C – 39 ° C = - 10 ° C Jammu: 26 ° C – 41 ° C = - 15 ° C ; Mumbai: 27 ° C – 32 ° C = - 5 ° C So, it is clear that, Jammu has the largest difference ( 26 ° C - 41 ° C = - 15 ° C ) in the minimum and maximum temperature on the given date.

In a public library, the librarian made the following observations in a particular week. Days Monday Tuesday Wednesday Thursday Friday Saturday Newspaper reader 350 400 500 450 550 450 Magazine reader 200 450 300 250 100 50 (i) Draw a double bar graph choosing an appropriate scale. (ii) On which day, the number of readers in the library was maximum? (iii) What is the mean number of magazine readers per day.

We draw the bar graph in the following steps: Step 1 : On a graph paper first we draw a horizontal line O X and a vertical line O Y , representing the x - axis and y - axis respectively. Step 2 : Along O X , we write the names of the days in a week by taking an appropriate uniform gaps and along O Y , we mark the number of readers. Step 3 : Choose the scale: 1 unit = 100 readers Step 4 : The newspaper and magazine readers for the different days are as follows: Monday 350 and 200 , Tuesday 400 and 450 , Wednesday 500 and 300 , Thursday 450 and 250 , Friday 550 and 100 , Saturday 450 and 50 . Step 5 : On x - axis we draw pairs of bars of equal width and of heights for the number of newspaper and magazine readers in different days of the week. From the given data, we have: Total number of readers on Monday = 350 + 200 = 550 Total numbers of readers on Tuesday = 400 + 450 = 850 Total numbers of readers on Wednesday = 500 + 300 = 800 Total number of readers on Thursday = 450 + 250 = 700 Total numbers of readers on Friday = 550 + 100 = 650 Total numbers of readers on Saturday = 450 + 50 = 500 Therefore, the number of readers was maximum on Tuesday having 850 readers in total. We have, Mean = Sum of given observations Number of the given observations Thus, mean number of magazine readers = 200 + 450 + 300 + 250 + 100 + 50 6 = 1350 6 = 225 Hence, the mean of the magazine readers are 225 .

Draw a double bar graph to compare the data in the given table Enrolment in computer courses YearCourse Basic Logo Computer Science Using Software Year One 130 40 10 20 Year Two 260 110 30 90

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The data given below shows the average rainfall in Udaipur from June to November of a certain year. Draw a bar graph to represent this information.

Month	June	July	August	September	October	November
Average rainfall	$25 cm$	$30 cm$	$40 cm$	$20 cm$	$10 cm$	$5 cm$

HARD

Mathematics>Statistics>Data Handling>Bar Graphs

The table given below shows the population of four towns over two years.

Towns	A	B	C	D
$2016$	$640000$	$830000$	$460000$	$290000$
$2017$	$750000$	$920000$	$630000$	$320000$

(i) Draw a bar graph using appropriate scale to depict the information given here.

(ii) In which town was the population growth maximum.

(iii) In which town was the population growth least.

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

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

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

How would you choose a scale?

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The following table shows the market position of different brands of soaps. Draw a bar graph to represent this data.

Brand	A	B	C	D	Others
Percentage of buyers	$45$	$25$	$15$	$10$	$5$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

Given below is a table which shows the year wise strength of the school. Represent this data by a bar graph

Year	$2011 - 12$	$2012 - 13$	$2013 - 14$	$2014 - 15$	$2015 - 16$
Number of students	$800$	$975$	$1100$	$1400$	$1625$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

Gold prices on $4$ Consecutive Tuesdays were as under. Draw a bar graph to show this information.

Week	First	Second	Third	Fourth
Rate per $10 g$ $(₹)$	$8500$	$8750$	$9050$	$9250$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The following data shows India's total population (in millions) from $1961$ to $2011$ . Represent the given data by a bar graph.

Year	$1961$	$1971$	$1981$	$1991$	$2001$	$2011$
Population (in millions)	$360$	$420$	$540$	$680$	$1020$	$1200$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The performance of a student in $1 s t$ Term and $2 n d$ Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

Subjects	English	Hindi	Math	Science	Social science
$1 s t$ term (max marks $100$ )	$67$	$72$	$88$	$81$	$73$
$2 n d$ term (max marks $100$ )	$70$	$65$	$95$	$85$	$75$

In which subject has the child improved his performance the most?

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The following table shows the number of scooters produced by a company during six consecutive years. Draw a bar graph to represent this data.

Year	$2011$	$2012$	$2013$	$2014$	$2015$	$2016$
Number of scooters	$11000$	$14000$	$12500$	$17500$	$15000$	$24000$

EASY

Mathematics>Statistics>Data Handling>Bar Graphs

The graph that is drawn to compare two quantities having the same units is:

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The air distances of four cities from Delhi (in km) are given below. Represent the data by a bar graph.

City	Kolkata	Mumbai	Chennai	Hyderabad
Distance from Delhi (in km)	$1340$	$1100$	$1700$	$1220$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The following table shows the imports (in thousand crore rupees) made by India over the last five years. Draw a bar graph to represent this data.

Year	$2001 - 02$	$2002 - 03$	$2003 - 04$	$2004 - 05$	$2005 - 06$
Imports (in a thousand crore rupees)	$148$	$176$	$204$	$232$	$180$

EASY

Mathematics>Statistics>Data Handling>Bar Graphs

In a survey or $85$ families of a colony, the number of members in each family was recorded, and the data has been represented by the following bar graph.

Question Image

What information does the bar graph give?

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The following table shows the interest paid by India (in a thousand crore rupees) on external debts during the period $1998 - 99$ to $2002 - 03$ . Represent the data by a bar graph.

Year	$1998 - 99$	$1999 - 2000$	$2000 - 01$	$2002 - 03$
Interest (in thousand crore rupees)	$70$	$84$	$98$	$120$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

Use the bar graph to answer the following question.

Question Image

Which is the most popular pet?

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

Various modes of transport used by $1850$ students of a school are given below. Draw a bar graph to show this information

School bus	Private bus	Bicycle	Rickshaw	By foot
$640$	$360$	$490$	$210$	$150$

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

Consider this data collected from a survey of a colony.

Favourite Sports	Cricket	Basketball	Swimming	Hockey	Athletics
Watching	$1240$	$470$	$510$	$430$	$250$
Participating	$620$	$320$	$320$	$250$	$105$

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

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

From the data given below showing the minimum and the maximum temperature of various cities, plot a double bar graph and answer the following:

Cities	Ahmedabad	Amritsar	Bangalore	Chennai	Delhi	Jaipur	Jammu	Mumbai
Max Temp(°C)	$38$	$37$	$28$	$36$	$38$	$39$	$41$	$32$
Min Temp(°C)	$29$	$26$	$21$	$27$	$28$	$29$	$26$	$27$

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

HARD

Mathematics>Statistics>Data Handling>Bar Graphs

In a public library, the librarian made the following observations in a particular week.

Days	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday
Newspaper reader	$350$	$400$	$500$	$450$	$550$	$450$
Magazine reader	$200$	$450$	$300$	$250$	$100$	$50$

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

(ii) On which day, the number of readers in the library was maximum?

(iii) What is the mean number of magazine readers per day.

MEDIUM

Mathematics>Statistics>Data Handling>Bar Graphs

The birth rate per thousand in five countries over a period of time is as shown in the table. Represent the given data by a bar graph.

Country	China	India	Germany	UK	Sweden
Birth rate per thousand	$42$	$35$	$14$	$28$	$21$

Year/Course	Basic	Logo	Computer Science	Using Software
Year One	$130$	$40$	$10$	$20$
Year Two	$260$	$110$	$30$	$90$

Draw a double bar graph to compare the data in the given table:

Enrolment in computer courses

Year/Course Basic Logo Computer Science Using Software

Year One $130$ $40$ $10$ $20$

Year Two $260$ $110$ $30$ $90$

Important Questions on Data Handling

Learn and Prepare for any exam you want !

Draw a double bar graph to compare the data in the given table: Enrolment in computer courses Year/Course Basic Logo Computer Science Using Software Year One 130 40 10 20 Year Two 260 110 30 90

Important Questions on Data Handling

Learn and Prepare for any exam you want !

Draw a double bar graph to compare the data in the given table:

Enrolment in computer courses

Year/Course Basic Logo Computer Science Using Software

Year One $130$ $40$ $10$ $20$

Year Two $260$ $110$ $30$ $90$