Data Handling

We know that 8 = 5 + 3 5 is represented by

3 is represented by

In order to find out how many students obtained marks more than or equal to 5, we will arrange the given data in a table, using tally marks.

number of students who obtained marks more than or equal to 5 is

4 + 1 + 2 + 6 + 2 + 2

= 17

So 17 students have obtained marks more than or equal to 5.

From the table of question 2 we can calculate the number of students who scored marks less than 4 marks.

numberofstudentswhoscoredmarkslessthan4is

4 + 2 + 2 + 2

= 10

So 10 students have obtained marks less than 4.

We can see that banana and grapes are liked by equal number of students i.e. 8 students.

We can see that 9 students like apple,

8 students like banana and grapes, 10 students like mango and 7 students like orange.

So mango is liked my most students.

False

In a bar graph, bars of uniform width are drawn horizontally or vertically with equal spacing between them.

False

In a bar graph, bars of uniform width are drawn horizontally or vertically.

False

In a bar graph, bars of uniform width are drawn with equal spacing between them.

True

In a bar graph, each bar(rectangle) represents only one value of the numerical data.

False

We take scale as per the given data.

True

Pictographsandbargraphsarepictorialrepresentationsofthenumericaldata.

False

The numerical data 5 represented as

If a picture of 1 book represents 50 books in a library then picture of 1/2 book will represent 25 books in a library.

A data is a collection of numbers gathered to give some meaningful information.

The data can be arranged in a tabular form using tally marks.

A pictograph represents data through pictures of objects.

In a bar graph bars can be drawn horizontally or vertically.

In a bar graph, bars of uniform width can be drawn horizontally or vertically with equal spacing between them.

An observation occurring seven times in a data is represented as using tally marks:

||

In a pictograph if a symbol represents 20 flowers, then 3 symbols will represent (20 + 20 + 20) flowers i.e. 60 flowers.

Given 1 unit = 10 crore

So 6 units = 10X6

= 60 crore

And 75 crore = 75/10

= 7.5 units

Tally marks means hash marks. They are in the form of numerals used for counting.

Like 4 is written as means four line

And 5 is written as four lines with cross line.

Now after counting, no of students getting A grade is 3

No of students getting B grade is 7

No of students getting C grade is 10

No of students getting D grade is 6

No of students getting E grade is 4

Now arranging the above data in table using tally marks

Total no of students =30

Tally marks means hash marks. They are in the form of numerals used for counting.

Like 4 is written as means four line

And 5 is written as four lines with cross line.

Now after counting numbers of families having 0 number of two wheelers =3

numbers of families having 1 number of two wheelers =28

numbers of families having 2 number of two wheelers =14

numbers of families having 3 number of two wheelers =4

numbers of families having 4 number of two wheelers =1

Now arranging the above data in table using tally marks :-

Total no of families = 50

From the table no of families having two or more no of wheelers = 14+4+1=19

Tally marks means hash marks they are in the form of numerals used for counting.

Like 4 is written as means four line

And 5 is written as four lines with cross line.

Now after counting numbers of carrots having length 15cm =5

Numbers of carrots having length 18cm =6

Numbers of carrots having length 20cm =9

Numbers of carrots having length 21cm =6

Numbers of carrots having length 22cm =4

now arranging above in the form of table of tally marks

a) Numbers of carrots having length more than 20cm =6+4 =10cm

b) From the table, maximum number of carrots =9 which occurs at length 20cm and min no carrots =4 which occurs at length 22cm

Hence length of carrots occurring maximum number of time =20cm

And length of carrots occurring minimum number of time =22cm

Tally marks means hash marks. They are in the form of numerals used for counting.

Like 4 is written as means four line

And 5 is written as four lines with cross line.

Now after counting numbers of students having future profession as Doctor =10

Numbers of students having future profession as Engineer =6

Numbers of students having future profession as officer =6

Numbers of students having future profession as pilot =8

Arranging them in the form of table using tally marks

Tally marks means hash marks. They are in the form of numerals used for counting.

Like 4 is written as means four line

And 5 is written as four lines with cross line.

a). Arranging the given data in a table using tally marks, as shown below

b). from the table, we can observe that football is liked by most of the students.

c). from the table, we can observe that tennis is liked by minimum no of students.

ii) shows four vertical lines and one cross line

means 4+1=5

iii) we know that 8=5+3 it can represented as

iv) means 5+2=7

v) we know that 10=5+5 here 5 is represented by

so 10 is represented by

vi) we know that 7=5+2

here can be represented as

Given =100 people

a) No of people having surname Roy=

=

b) From the pictograph, as 5 hand appears in Patel hence most of the people have surname Patel

c) From the pictograph, we can observe that surname Saikia appears the least number

d) Rao and Roy surname appears an equal number of time as number of hands are same.

Given that 4 small box = 20

1small box =5

a) From above metal (50 articles) is used in the maximum numbers of articles

b) Glass(20 articles) and wood(20 articles) is used in the minimum number of articles

c) From the above pictograph, we observe that 50 articles were made of metal whereas 25 articles were made of rubber, which is exactly half the number of articles as those made up of metal.

d) Total number articles =articles made of(wood + glass + metal + rubber + plastic)

= 20 + 20 + 50 + 25 + 35 = 150.

One face =10 scout

Hence from pictograph we can have number of scout in each class as given below:

a) Class X has minimum numbers of scouts i.e 10.

b) Class VIII has maximum numbers of scout i.e 60

c) Number of scouts in class VI=40

d) Number of scouts in class X =10 Number of scouts in class VI =40 (10 x 4=40)

Hence class VI has exactly four times the scouts as that of class X

e) Total number of scouts in classes VI to X = 40 + 20 + 60 + 30 + 10 = 160.

(A) Hindi

Subject hindi has the most number of students. It has 4 books and each book represents 50 students. Therefore, 4 books will be 200 students in total which is the maximum among all subjects. So, hindi is the most popular subject among the students.

(B) 175

Mathematics has 3 and a half books and each book represents 50 students. Therefore , 50 3.5 = 175 students in total like mathematics.

(C) 425

Subjects other than maths and science are hindi, english and social studies.

Hindi has 4 books ,each representing 50 students .So, number of students who like hindi = 4 50 = 200.

English has 3 books ,each representing 50 students .So, number of students who like english = 3 50 = 150.

Social Studies has 1.5 books ,each representing 50 students .So, number of students who like social studies = 1.5 50 = 75. Therefore, total number of students who like subjects other than maths and science = 200+150+75 = 425

(A) 6000 sqkm

Koria district has 6 spheres each representing 1000 sqkm of area. Therefore total area represented by Koria district = 6 1000 = 6000 sqkm.

(B) Raigarh and Jashpur

Both Raigarh and Jashpur have 6.5 spheres representing area of 6500 sqkm each.

(C) 4

Raigarh, Rajnandgaon, Koria and Jashpur all districts have more than 5 spheres representing areas more than 5000 sqkm.

Let 50 bottles of cold drinks be represented by .

Number of bottles sold on Sunday are 350 which can be represented by 7 complete symbols.

Number of bottles sold on Monday are 200 which can be represented by 4 complete symbols.

Number of bottles sold on Tuesday are 300 which can be represented by 6 complete symbols.

Number of bottles sold on Wednesday are 250 which can be represented by 5 complete symbols.

Number of bottles sold on Thursday are 100 which can be represented by 2 complete symbols.

Number of bottles sold on Friday are 150 which can be represented by 3 complete symbols.

Let 500 newspapers be represented by and 1000 newspapers be represented by .

Number of English newspapers is 5000 which can be represented by 5 filled rectangles.

Number of Hindi newspapers is 8500 which can be represented by 8 filled rectangles and 1 unfilled.

Number of Tamil newspapers is 500 which can be represented by 1 unfilled rectangle.

Number of Punjabi newspapers is 2500 which can be represented by 2 filled rectangles and 1 unfilled rectangle.

Number of Gujarati newspapers is 1000 which can be represented by 1 filled rectangle.

Let each decagon represents 10 lakhs and each pentagon represents 5 lakhs.

For salaries of employee, 65 lakhs can be represented by 6 decagons and 1 pentagon.

For purchase of machinery, 85 lakhs can be represented by 8 decagons and 1 pentagon.

For advertisement, 10 lakhs can be represented by 1 decagon.

For electricity and water, 15 lakhs can be represented by 1 decagon and 1 pentagon.

For transportation, 25 lakhs can be represented by 2 decagons and 1 pentagon.

For other expenses, 30 lakhs can be represented by 3 decagons.

(A) LPG

From the above bar graph, it is observed that the LPG bar is the highest among other fuels with 35 houses using it out of 100 and thus it is used in maximum number of houses.

(B) 10

From the above bar graph, it can be observed that 10 houses use coal as fuel.

(C) 5000

From the above graph , it can be observed that the number of houses using electricity are 5 out of 100 houses.

Now, if the number of houses = 100000

Number of houses using electricity out of 100 = 5

Number of houses using electricity =

Number of houses using electricity out of 100000 =

= 5000

Therefore, 5000 houses uses electricity out of 100000.

(A) 1300

Total number of students whose shoe sizes have been collected = sum of the number of students wearing different sizes of shoes

From the above graph, it can be observed that the number of students wearing shoes of size 4 = 250

From the above graph, it can be observed that the number of students wearing shoes of size 5 = 200

From the above graph, it can be observed that the number of students wearing shoes of size 6 = 300

From the above graph, it can be observed that the number of students wearing shoes of size 7 = 400

From the above graph, it can be observed that the number of students wearing shoes of size 8 = 150

Therefore, total number of students whose shoe sizes have been collected = 250+200+300+400+150 = 1300

(B) 300

From the above graph, it can be observed that the number of students wearing shoe size 6 is 300.

(C) Sizes are 4, 5, 6, 7 and 8.

From the graph, it can be observed that the different sizes of shoes worn by the students are 4, 5, 6, 7 and 8.

(D) Shoe size 7

From the graph, it can be observed that 400 students wear the shoes of size 7 which is the most among other shoe sizes.

(E) Shoe size 8

From the graph, it can be observed that 150 students wear the shoes of size 8 which is the least among other shoe sizes.

(F) False

From the graph, it can be observed that the total number of students wearing shoe sizes 5 and 8 = 200+150 = 350.

Also, the total number of students wearing shoes of size 6 is 300 which is not equal to the number of students wearing shoe sizes 5 and 8.

(A) 290

Total number of tickets sold = sum of number of tickets sold for Patna , Jaipur, Delhi, Chennai and Guwahati.

Total number of tickets sold = 80+50+100+20+40 = 290

(B) Delhi

From the above graph, it can be observed that the number of tickets sold for Delhi was 100 which is the most number among the other cities.

(C) Chennai

From the above graph, it can be observed that the number of tickets sold for Chennai was 20 which is the least number among the other cities.

(D) Patna, Jaipur, Delhi and Guwahati

From the graph, it can be observed that the only city with total number of tickets sold 20 is Chandigarh. The rest of the cities have more number of tickets sold.

(E) 50

Total number of tickets sold for Delhi and Jaipur together = 150

Total number of tickets sold for Patna and Chennai together = 100

Difference = 150 – 100 = 50

(A) N.H. 2

N.H.2 is 1500 km long which is the longest among all the other national highways.

(B) N.H.10

N.H.10 is 500 km long which is the shortest among all the other national highways.

(C) 900 km

From the graph , it can be observed that the length of the N.H.9 is 900 km.

(D) Length of N.H.2

From the graph , it is observed that length of NH2 = 1500 km

Length of NH3 = 1200 km

length of NH8 = 1400 km

length of NH9 = 900 km

length of NH10 = 500 km

So, length of NH10 = 1500 km = 3 500 km = 3 length of NH2.

(A) 1000

From the graph, it can be observed that the circulation of English newspaper is about 1000.

(B) Bengali and Marathi

From the graph, it can be observed that the circulation of Bengali and Marathi newspaper both are 600.

So, their circulation is same.

(C) 800

From the graph, it can be observed that the circulation of Hindi newspaper = 1400

Also, circulation of Bengali newspaper = 600

Difference = 1400 – 600 = 800

(A) The bar graph gives the information about the number of students in each academic year starting from 2001 to 2006.

(B) 2005-06

From the graph, it can be observed that the number of students in the year 2005-06 is 350 which is the most number among all the years.

(C) From the graph, it can be observed that the number of students in the year 2001-02 = 150

the number of students in the year 2002-03 = 200

the number of students in the year 2003-04 = 150

the number of students in the year 2004-05 = 300

the number of students in the year 2005-06 = 350

Therefore, the no. of students in year 2004-05 = 300 = 2 150

= 2 no. of students in year 2001-02

(D) 2003-04

From the graph, it can be observed that in year 2003-04 the number of students decreased to 150 from the 200 of the previous year 2002-03

(E) 2004-05

In the year, 2004-05 the number of students increased to 300 from 150 of the previous year 2003-04 . The increase in the number is 150 which is the maximum.

A) Since the Bar Graph of trees is longest that implies that in the garden maximum number of plants are Tree.

B) Creeper has smallest bar graph which means that creeper are minimum in number in the garden.