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 production of saleable steel in some of the steel plants of our country during 1999 is given below: Plants Bhilai Durgapur Rourkela Bokaro Production (in thousand tonnes) 160 80 200 150 Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division = 20 thousand tonnes.

Draw a bar graph such that the horizontal axis O X as “Plants” and the vertical axis O Y as “Production (in thousand tonnes)” Along the horizontal axis O X , select bars of equal width, with a uniform gap between them. Select a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 20 thousand tones. The bar graph is shown below:

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years: Y e a r 1992 1993 1994 1995 1996 L o a n ( i n c r o r e s o f r u p e e s ) 28 33 55 55 80 Represent the above data with the help of a bar graph.

Draw two lines perpendicular to each other such that the horizontal axis O X as “Years” and the vertical axis O Y as “Loan (in crores of rupees)” Along the horizontal axis O X , choose bars of equal width, with a uniform gap between them. Select a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 crores of rupees. The below figure represents the bar graph:

The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years: Y e a r 1960 - 1961 1970 - 1971 1980 - 1981 1990 - 1991 2000 - 2001 R o u t e l e n g t h ( i n t h o u s a n d k i l o m e t e r s ) 56 60 61 74 98 Represent the above data with the help of a bar graph.

Draw two lines perpendicular to each other such that the horizontal axis O X as “Year” and the vertical axis O Y as “Route Length (in thousand kilometers)” Along the horizontal axis O X , choose bars of equal width, with a uniform gap between them. Select a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 20 thousand kilometers.

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

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years: Y e a r 1992 1993 1994 1995 1996 L o a n ( i n c r o r e s o f r u p e e s ) 28 33 55 55 80 With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

Draw two lines perpendicular to each other such that the horizontal axis O X as “Years” and the vertical axis O Y as “Loan (in crores of rupees)” Along the horizontal axis O X , choose bars of equal width, with a uniform gap between them. Select a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 crores of rupees. The below figure represents the bar graph: From the bar graph we see in the year 1995 , the loan is not increased over that of the preceding year.

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 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

A collection of numerical figures giving some particular type of information is called data. For example, The height of 11 players in the school are, 155 , 148 , 161 , 144 , 159 , 152 , 147 , 163 , 156 , 150 , 165 Here, the above collection of information is known as data.

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

MEDIUM

Earn 100

Thabisa wants to research the views of people in her village about plans for the village hall.

She decides to interview people face-to-face.

a) Are these statements about face-to-face interviews true or false?

   True False

It is quicker than sending out a questionnaire.

It allows for more accurate answers as the

interviewer can explain the questions.

It can give more reliable data as lots of people

do not return questionnaires.

b) $2000$ people live in the village. Put a ring around a suitable sample size for Thabisa's research.

$5$ $20$    $100$    $1000$

Important Questions on Statistics

EASY

Mathematics>Statistics>Statistics>Introduction to Data

The data collected from which one of the following methods is not a primary data ?

EASY

Mathematics>Statistics>Statistics>Introduction to Data

Data collected on religion from the census reports are

EASY

Mathematics>Statistics>Statistics>Introduction to Data

Census reports are used as a source of _________ data

EASY

Mathematics>Statistics>Statistics>Introduction to Data

The total number of live births in a specific locality during different months of a specific year was obtained from the office of the Birth Registrar. This set of data may be called:

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

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>Statistics>Introduction to Data

The production of saleable steel in some of the steel plants of our country during $1999$ is given below:

Plants	$Bhilai$	$Durgapur$	$Rourkela$	$Bokaro$
Production (in thousand tonnes)	$160$	$80$	$200$	$150$

Construct a bar graph to represent the above data on a graph paper by using the scale

1

big division

= 20

thousand tonnes.

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

$Y e a r$	$1992$	$1993$	$1994$	$1995$	$1996$
$L o a n (i n c r o r e s o f r u p e e s)$	$28$	$33$	$55$	$55$	$80$

Represent the above data with the help of a bar graph.

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

$Y e a r$	$1960 - 1961$	$1970 - 1971$	$1980 - 1981$	$1990 - 1991$	$2000 - 2001$
$R o u t e l e n g t h (i n t h o u s a n d k i l o m e t e r s)$	$56$	$60$	$61$	$74$	$98$

Represent the above data with the help of a bar graph.

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

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>Statistics>Introduction to Data

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>Statistics>Introduction to Data

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	$25 cm$	$30 cm$	$40 cm$	$20 cm$	$10 cm$	$5 cm$

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

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>Statistics>Introduction to Data

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>Statistics>Introduction to Data

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

$Y e a r$	$1992$	$1993$	$1994$	$1995$	$1996$
$L o a n (i n c r o r e s o f r u p e e s)$	$28$	$33$	$55$	$55$	$80$

With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

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>Statistics>Introduction to Data

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>Statistics>Introduction to Data

Define data.

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

The following table shows the life expectancy (average age to which people live) in various countries in a particular year. Represent this data by a bar graph.

Country	Japan	India	Britain	Ethiopia	Cambodia
Life expectancy (in years)	$76$	$57$	$70$	$43$	$36$

MEDIUM

Mathematics>Statistics>Statistics>Introduction to Data

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>Statistics>Introduction to Data

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	$45$	$25$	$15$	$10$	$5$

Important Questions on Statistics

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