Data Handling - Class 6 Maths - Extra Questions

How high was plant $$A$$ after (i) $$2$$ weeks (ii) $$3$$ weeks.
1403023_b73f37fd73064f448b4852c5db090050.png

From the graph 
After $$2$$ weeks Both the Plants are at same distance 
After $$3$$ weeks Plant $$B$$ Is $$2cm$$ higher than Plant $$A$$


According to the graph above, find the difference between the average masses of brains of Cow and Pig.
1054196_9ebda3f2f4f94f2696856cec94798a39.PNG

Average mass of brain of Cow = 400 grams
Average mass of brain of Pig = 180 grams
Difference = 400 - 180 = 220 grams



What is the scale on Y-axis?
711095_b8607294993743dd8652ccc90cb8c705.JPG

We observe that on y-axis, $$1\ cm = 5$$ students


Given bar graph is the representation of registered number of students of Standard $$1$$ to $$5$$ of your school.
Which information is given by the graph?
711095_b8607294993743dd8652ccc90cb8c705.JPG

The given bar graph is representing the registered number of students of Standard $$1$$ to $$5$$ of my school.
$$\Rightarrow$$  In the graph, $$X-axis$$ is representing standard of a students from $$1$$ to $$5$$.
$$\Rightarrow$$  $$Y-axis$$ is representing number of student in different standards.



What is shown on Y-axis?
711095_b8607294993743dd8652ccc90cb8c705.JPG

No. of students


During which week did plant $$B$$ grow least.
1403046_e8f3c332e4dd4acd875fc50171960577.png

The height grown by plant $$B$$ in $$1 \mathrm{st}$$ week is $$1\ \mathrm{cm}$$
The height grown by plant $$B$$ in $$2 \mathrm{nd}$$ week is $$8-1=7\ \mathrm{cm}$$
The height grown by plant $$B$$ in $$3 \mathrm{rd}$$ week is $$11-8=3\ \mathrm{cm}$$
From the above data 
$$B$$ grows least in $$1 \mathrm{st}$$ week


How much did plant $$B$$ grow from the end of the $$2nd$$ week to the end of the $$3rd$$ week.
1403036_98943461aef343e292a8490d1ee429dc.png

From The graph
The height of Plant $$B$$ in $3rd$$ week is $$10cm$$
The height of Plant $$B$$ in $2nd$$ week is $$6cm$$
The growth of Plant $$B$$ during $$3rd $$ week is $$10-6=4cm$$ 


Students of Class VI in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows:
Observe the pictograph and answer the following questions:
What is the total number of articles counted by the students? 

1788912_ba7bb78500d3451b8500e638b70ff5fc.png

Data from the pictograph can be tabulated as shown.
 Material used  Number of Articles
Wood
Glass
MEtal
Rubber
Plastic		$$20+10=30$$
$$20$$
$$20+20+10= 50$$
$$20+5=25$$
$$20+15=35$$
 Total $$160$$
From the table,
Total number of articles $$=30+20+50+25+35=160$$


During which week did plant $$A$$ grow most.
1403043_47e92f142a6c41c49e90768677c01367.png

The height grown by plant $$A$$ in $$1 \mathrm{st}$$ week is $$2\ \mathrm{cm}$$
The height grown by plant $$A$$ in $$2 \mathrm{nd}$$ week is $$8-2=6\ \mathrm{cm}$$
The height grown by plant $$A$$ in $$3 \mathrm{rd}$$ week is $$10-8=2\ \mathrm{cm}$$
from the above data 
$$A$$ grows more in $$2 \mathrm{nd}$$ weeek 


In an examination, the grades achieved by $$30$$ students of a class are given below. Arrange these
grades in a table using tally marks:
B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B,
E, A, D, C, B, E, C, B, E, C, D


1636564_1788765_ans_3b1ce48a8f784afea8e5c314fedaeae1.png


Above pictograph shows the number of tractors in five villages.
Observe the pictograph and answer the following questions
How many more tractors village C has as compared to village B.
1800359_097f6db90c584c098b0299b6805e31e8.png

No. Of tractors in village B=5
No. Of tractors in Village C=8
Village C has $$8 - 5 = 3$$ more tractors as compared to village B.


The number of girl students in each class of a co-educational middle school is depicted by the pictograph.
Observe this pictograph and answer the following questions:
Which class has the minimum number of girl students ?
1800366_2f29c32f72e24da3897e43b0474c3be7.png

Class VIII has a minimum number of girl students.


Above pictograph shows the number of tractors in five villages.
Observe the pictograph and answer the following question
Which village has the maximum number of tractors ?
1800357_503ecaef8eee4d2b9bddf89f65475d3e.png

Village C has the maximum number of tractors.


The number of girl students in each class of a co-educational middle school is depicted by the pictograph.
Observe this pictograph and answer the following question:
How many girls are there in Class VII ?
1800368_e4fd0477b0b649dea3910b88fbf5e103.png

Number of girls in Class VII $$= 3 \times 4 = 12.$$


Above pictograph shows the number of tractors in five villages.
Observe the pictograph and answer the following question.
Which village has the minimum number of tractors ?
1800354_e82d2215863f4f1dade1f2329a21111f.png

Village D has the minimum number of tractors.


Above pictograph shows the number of tractors in five villages.
Observe the pictograph and answer the following questions
What is the total number of tractor in all the five villages ?
1800361_0e8b43d65abe46a7973a567cf914d88c.png

Total number of tractors in all the five villages
$$= 6 + 5 + 8 + 3 + 6 = 28.$$


The following pictograph shows the number of cars sold by four dealers $$A, B, C$$ and $$D$$ in a city. Scale:
Using the pictograph, draw above, answer the following question:
What is the total number of cars sold by all the dealers?
1823558_155992bce2b74fcda2d0e20387fb3322.png

Total number of cars $$=23$$
Scale $$=50$$ cars
Hence, Total number of cars sold by all the dealers can be calculates as below 
Total number of cars sold $$=23\times 50$$
$$=1150$$ cars
Hence, total number of cars sold by all the dealers is $$1150$$ cars


The number of goals second by a football term in different matches is given below:
$$3,1,0,4,6,0,0,1,1,2,2,3,5,1,2,0,1,0,2,3,9,2,0,1,0,1,4,1,0,2,5,1,2,\\2,3,1,0,0,0,1,1,0,2,3,0,1,5,2,0$$
Make a frequency distribution table using tally makers.

Frequency table for the given data is as follows:
1715180_1809238_ans_0c2d19df4cbd4f7d8a405796d731e7e5.png


The following pictograph shows the number of cars sold by four dealers $$A, B, C$$ and $$D$$ in a city. Scale: 1 car image  = 50 cars 
Using the pictograph, drawn above, answer the following question : 
(i) how many more cars has dealer A sold as compared to dealer D ?
(ii) What is the total number of cars sold by all the dealers ? 
Using the pictograph, shown above, answer the following question:
How many more cars has dealer $$A$$ sold as compared to dealer $$D$$?
1823557_c033f166e5fa4ddeb183fb800fee8d17.png

Given:
One figure $$=50$$ cars
Hence, cars sold by dealer $$A$$ and $$D$$ can be calculates as below;
Cars sold by $$A=6\times 50$$
$$=300$$ cars
Cars sold by $$D=4\times 50$$
$$=200$$ cars
Total cars sold by $$A$$ more than $$D=300-200$$
$$=100$$
Hence, $$A$$ sold $$100$$ more cars than $$D$$




The following pictograph shows different subject books which are kept in a school library.
Taking symbol of one book $$=50$$ books, find:
Which books are maximum in number?
1823584_a538964f5ace4545a1125982703d7b04.png

Given
One book $$=50$$ books
Hence, total number of English books can be calculated as below 
Total number of English books $$=50\times 9$$
$$=450$$ books
Therefore, there are $$450$$ English books in the library


The following pictograph shows the number of watches manufactured by a factory, in a particular weeks.
Find:
total number of watches manufactured in the whole week?
1823570_6a1e36f0bc1740ffb9153eb0a5b1af6e.png

Total number of watches manufactured in the whole week can be calculated as below
Total number of watches manufactured $$=100\times 42.5$$
$$=4250$$ watches


The following pictograph shows different subject books which are kept in a school library.
Taking symbol of one book $$=50$$ books, find:
how many History books are there in the library?
1823580_24201c8bb37a4872a5e84359696d2c6f.png

Given
One book $$=50$$ books
Hence, total number of History books can be calculated as below 
Total number of History books $$=50\times 4$$
$$=200$$ books
Therefore, there are $$200$$ History books in the library


The number of animals in five villages are as follows:
Village$$A$$$$B$$$$C$$$$D$$$$E$$
No. of animals$$160$$$$240$$$$180$$$$80$$$$120$$
Prepare a pictograph of these animals using one symbol to represent $$20$$ animals.

The pictograph representing animals in five villagesis as follows:
1754575_1823577_ans_0a8dae0be5dd4b4f8564f8296aa8679d.png


The weekly wages (in $$Rs$$) of $$30$$ workers in a factory are:
$$830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833$$, $$855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890$$, $$806, 840$$
Using tally marks make a frequency table with intervals as $$800-810, 810-820$$ and so on

Interval                Tally marks          Frequency
$$800-810$$            $$|||$$                              $$3$$
$$810-820$$            $$||$$                               $$2$$
$$820-830$$            $$|$$                                $$1$$
$$830-840$$           $$\not{||||}$$ $$|||$$                        $$9$$
$$840-850$$           $$\not{||||}$$                             $$5$$
$$850-860$$            $$|$$                                $$1$$
$$860-870$$            $$|||$$                              $$3$$
$$870-880$$            $$|$$                                $$1$$
$$880-890$$            $$|$$                                $$1$$

492162_463409_ans_a2d34813da864b1fb2d2f96ce4ee84b7.png


The relative humidity (in %) of a certain city for a September month of $$30$$ days was as follows:
$$98.1$$$$98.6$$$$99.2$$$$90.3$$$$86.5$$$$95.3$$$$92.9$$$$96.3$$$$94.2$$$$95.1$$
$$89.2$$$$92.3$$$$97.1$$$$93.5$$$$92.7$$$$95.1$$$$97.2$$$$93.3$$$$95.2$$$$97.3$$
$$96.0$$$$92.1$$$$84.9$$$$90.0$$$$95.7$$$$98.3$$$$97.3$$$$96.1$$$$92.1$$$$89$$
Construct a grouped frequency distribution table with classes $$84-86, 86-88$$ etc

The grouped frequency distribution table is follows-
Note: $$90$$ comes in interval $$90-92$$ likewise $$96$$ comes in $$96-98$$ class interval.
1058570_570485_ans_4ea75c0cb16d4f10bc4b32cc53ae16d4.jpg


School /
Name of sapling		Almond KaranjNeem Ashok Gulmohar
Nutan Vidyalay4060721542
Bharat Vidyalaya 4238602540
The number of saplings planted by schools on world tree day is given in the tabe below. Draw a joint bar graph to show these figures.


$$\Rightarrow$$  The above graph shows joint bar graph.
$$\Rightarrow$$  On $$x-axis$$ contains name of saplings and $$y-axis$$ contains number of sapling planted.

1218425_1045905_ans_d0d3b3ba1db648b78f8b8b2efd83cfde.jpeg


The marks obtained by 40 students of a class are given below : 
$$80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,$$
$$ 90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60$$, and $$60$$
How many students obtained marks below $$40$$ ?

Students obtained marks below $$40 = 2 + 3 + 3 = 8$$ students
$$(10,10,20,20,20,30,30,30)$$


The numbers of books odd by a a shop doing a weak is given below Monday-$$36$$, Tuesday-$$38$$, Wednesday- $$16$$, Thursday- $$40$$, Friday-$$24$$, Saturday-$$32$$. Prepare pictograph.


1482807_1558313_ans_2cd8f67481e1431b9c0a10a4ffbd191e.png


How high was plant $$B$$ after (i) $$2$$ weeks (ii) $$3$$ weeks.
1403028_3f4075857853461eac79a6ee6b428080.png

From the graph 
After $$2$$ weeks Both the Plants are at same distance 
After $$3$$ weeks Plant $$B$$ Is $$2cm$$ higher than Plant $$A$$


How much did plant $$A$$ grow during the $$3rd$$ week.
1403034_17c98c5dabc7475fa5d41d755fc4214f.png

From The graph
The height of Plant $$A$$ in $3rd$$ week is $$8cm$$
The height of Plant $$A$$ in $2nd$$ week is $$6cm$$
The growth of Plant $$A$$ during $$3rd $$ week is $$8-6=2cm$$ 


The following table shows the daily production of T.V. sets in an industry for 7 days of a week:
DayMonTueWedThursFriSatSun
Number of T.V. Sets 300400150250100350200
Represent the above information by a pictograph.


1482812_1670827_ans_e0a1bc80600d442d87618d970bf7a631.png


The following table shows the number of Maruti cars sold by five dealers in a particular month:
Dealer:SayaBagga LinksD.D MotorsBhasin MotorsCompetent
Cars sold:6040201510
Represent the above information by a pictograph.


1482813_1670829_ans_061ce9dadd0646dfb4c962dd8f0d4c59.png


The sale of electric bulbs on different days of a week is shown below:
Observe the pictograph and answer the following questions:
On which day maximum number of bulbs were sold?
1675299_678911264e644d1eb241ff64d05c0142.png

In question 
The sale of electric bulbs on different days of a week is shown in pictograph
Now pictograph convert to table of frequency
 Days  MondayTuesday  WednesdayThursday Friday  SaturdaySunday 
 No of Bulbs 1216 8 10  14 8 18
We observe
Maximum number of bulbs were sold on Sunday


The total number of students in a school in different years is shown in the following table:
YearNumber of students
1996400
1998550
2000450
2002600
2004650
Prepare a pictograph of students using any other symbol each representing 50 students.

We draw a pictograph using a complete symbol (icon of a student) to represent  $$ 50$$ students.
1671930_1675324_ans_4622d3c7bfde4513a58e93bb463ae555.png


The number of girl students in each class of co-ed. Middle school is depicted by the following pictograph:
Observe the above pictograph and answer the following questions:
How many girls are there in VII class?
1675352_b20e0c2efef74860b1a2f5454845e0b5.png

Given in a question
the number of girl students in each class of co-ed. Middle school is depicted by the pictograph:
The pictograph convert to normal table
 Class$$ I$$$$II $$ $$III$$$$IV$$  $$V$$$$VI$$ $$VII$$ $$VIII$$ 
 No of girls 2418 20 14 10 16 12 6 
Number of girls are there in $$VII$$ class $$=12$$


A survey was carried out in a certain school to find about different modes of transport used by students to travel to school each day. $$30$$ students of class VI were interviewed and the data obtained was displayed in the form of a pictograph.
Look at the above pictograph and answer the following questions: 
Which is the most popular mode of travel?
1675335_d36018f2a2814048a2a0d04f2a3b4bba.png

Maximum students $$(10)$$ used school bus.
So, we can say that school bus is a popular mode of travel.


The sale of electric bulbs on different days of a week is shown below:
Observe the pictograph and answer the following questions:
If one big carton can hold 9 bulbs. How many cartons were needed in the given week, more than 7, more than 8 or more than 9?
1675307_d31f1f09cc32432c84c093499c9ce269.png

Observing the given pictograph,
The number of electric bulbs sold on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday were $$12, 16,8,10,14,8 $$ and $$18$$ respectively.

Hence, total number of bulbs sold $$=12+16+8+10+14+8+18$$
$$=86$$ 
Number of cartoons required $$=\dfrac{86}{9}=9.56$$

Since, the number of cartoons can't be a decimal.
The total number of cartoons required was $$10$$


The following table shows  the number of Maruti cars sold by five dealers in a particular month:
DealerSayaBagga LinksD.D. MotorsBhasin MotorCompetent Motors
Cars sold 6040201510
Represent the above information by a pictograph.


1479821_1675354_ans_bd5039d2cfc348c39864ba5474181a8e.png



The sale of electric bulbs on different days of a week is shown.
Observe the pictograph and find out the total earning of the week, if each bulb sells for 10/- for each bulb?
1675303_7101c0e592f6480fa4f2cea8589803fc.png

Converting pictograph to table of frequency

 Days MondayTuesday WednesdayThursday Friday SaturdaySunday 
Number of Bulbs 1216 8 10  14 8 18
Total number of electrical bulbs sold is $$86$$

And each electric bulb is sold for $$Rs. 10$$ 

Hence the total earning of the week $$= 86\times 10$$

                                                              $$=Rs. 860$$ 


A survey was carried out in a certain school to find about different modes of transport used by students to travel to school each day. 30 students of class VI were interviewed and the data obtained was displayed in the from of pictographs given below:
Look at the above pictograph and answer the following questions:
How many students are using cycle or walking as a mode of travel?
1675328_8540ed6f24cf4923ac2e9d357f386182.png

A survey was carried out in a certain school to find about different modes of transport used by students to travel to school each day. 30 students of class VI were interviewed and the given in question as pictograph 
Now we can pictograph convert to frequency table
 Mode of transportScooterPublic Bus School Bus Cycle Walking 
 No. of students 45 10 3 8 
Hence, no. of students are using cycle or walking as a mode of travel
$$= 3+8=11$$


The number of girl students in each class of co-ed. Middle school is depicted by the following pictograph:
Observe the above pictograph and answer the following questions:
Which class has the maximum number of girl students?
1675344_6144613dfdee4734ba4b927b3b79ed8a.png

Class 1 has maximum number of girls $$(6\times 4 =24$$ girls).


The number of girl students in each class of co-ed. Middle school is depicted by the following pictograph:
Observe the above pictograph and answer the following questions:
Is the number of girls in class VI is less than the number of girls in class V?
1675350_a84f53967c1249c2a0d53ae7c8820cc8.png

Given in a question
the number of girl students in each class of co-ed. Middle school is depicted by the pictograph:
The pictograph convert to normal table
 Class$$ I$$$$II $$ $$III$$$$IV$$  $$V$$$$VI$$ $$VII$$ $$VIII$$ 
 No of girls 2418 20 14 10 16 12 6 
Answer : No, because the girl students of class $$VI (16) $$ are more than the girl students of class $$V (10) $$ girls.




The total number of students of a school in different years is shown in the following table:
YearNumber of students
1996400
1998550
2000450
2002600
2004650
Prepare a pictograph of students using one symbol (an icon of a student) to represent 100 students and answer the following question:
How many symbols represent the total number of students for the year 1998?

We draw a pictograph using a complete symbol to represent $$100$$ students and an incomplete symbol to represent $$50$$ students.

To represent the number of students for the year $$1998$$, we use $$5$$ complete symbols and $$1$$ incomplete symbol 

1671922_1675322_ans_c8ec5916cf294b5392315e6f716b65fd.png


The pictograph shows different subject books which are kept in a library.
Which books are minimum in number?
1675382_3f0e85b6d38446539b7ec46423df0aaf.png

In a question
the pictograph shows different books which are kept in a library
Now we can convert the pictograph to table(frequency table)
Subject                    Hindi             English                  History                 Science                Maths
No. of Books             $$550$$                $$800$$                      $$200$$                        $$400$$                     $$250$$
$$\Rightarrow$$ No. of English books are there in the library is $$800$$
$$\Rightarrow$$ No. of Maths books are there in library is $$250$$
$$\Rightarrow$$ Maximum no. of books $$800$$
i.e., English Books are maximum
$$\Rightarrow$$ Minimum no. of books $$=200$$
i.e., History Books are minimum.


In a village six fruit merchants sold the following number of fruit baskets in particular season:
Observe the above pictograph and answer the following questions.
How many fruit baskets ware sold by Anwar?


1675363_72c0ba91c75341e1a456b19646423b4b.png

In a given question
In a village six fruit merchants sold the fruits baskets in a particular season as represented in a question as pictograph
Now we can convert pictograph as the frequency table
Merchant                    Rahim             lakh on pal          Anwar           Martin           Ranjit singh            Joseph
No. of fruit baskets       $$400$$                   $$550$$                   $$700$$               $$950$$                   $$800$$                     $$450$$
$$\therefore$$ Total no. of fruit baskets$$=3850$$
$$\therefore$$ No of fruit baskets were sold by Anwar is $$700$$.


In a village six fruit merchants sold the following number of fruit baskets in particular season:
Observe the above pictograph and answer the following questions.
Which merchant sold the maximum number of baskets?
1675360_a2caffde03fb41319b769290818e760b.png

From the pictograph, it can be observed that the number of fruit baskets sold by Rahim, Lakhanpal, Anwar, Martin, Ranjit Singh, and Joseph are $$400, 550, 700, 950, 800$$ and $$450$$ respectively.

Hence, Martin sold the maximum number of baskets, i.e., $$950$$.


In a village six fruit merchants sold the following number of fruit baskets in particular season:
Observe the above pictograph and answer the following questions.
The merchants who have sold 600 or more number of baskets are planing to buy a godown for the next season. Can you name them?
1675367_8668f4b74ce248cdbe6974a66f4ab696.png

From the pictograph, it can be observed that the number of fruit baskets sold by Rahim, Lakhanpal, Anwar, Martin, Ranjit Singh, and Joseph are $$400, 550, 700, 950, 800$$ and $$450$$ respectively.

Hence, Anwar, Martin, and Ranjit Singh are the three merchants who have sold more than $$600$$ baskets. 
Therefore, they are planning to buy a godown for the next season.


The pictograph shows different subject books which are kept in a library.
How many English books are there in the library?
1675372_c6f43d47aac34185affd848c0a9451dc.png

In a question
the pictograph shows different books which are kept in a library
Now we can convert the pictograph to table(Frequency table)
Subject                   Hindi           English          History           Science            Maths
No. of Books          $$550$$                $$800$$               $$200$$                $$400$$                   $$250$$
$$\Rightarrow$$ No. of English Books are there in the library is $$800$$.


The pictograph shows different subject books which are kept in a library.
How many maths books are there?
1675374_0a1a99269e0a4df78a70924ca90460fb.png

In a question, the pictograph shows different books which are kept in a library.
Now we can convert the pictograph to table(Frequency table)
Subject                 Hindi            English           History            Science              Maths
No. of Books          $$550$$               $$800$$               $$200$$                  $$400$$                    $$250$$
$$\Rightarrow$$ No. of English books are there in the library is $$800$$
$$\Rightarrow$$ No. of Maths books are there in library is $$250$$.


Fill in the blanks to make the
statements true:
The data can be arranged in a tabular form
using _______ marks.


1893096_1788731_ans_10fb36cf0966435f8d63127baf381635.jpg


Following are the choices of games of  $$40$$ students of
Class VI:

football, cricket, football, kho-kho, hockey, cricket,
hockey, kho-kho, tennis, tennis, cricket, football, football,
hockey, kho-kho, football, cricket, tennis, football, hockey,
kho-kho, football, cricket, cricket, football, hockey, khokho, tennis, football, hockey, cricket, football, hockey,
cricket, football, kho-kho, football, cricket, hockey,
football.
Which game is liked by most of the students? 

Football game is liked by most of the students.
1708575_1788800_ans_20c9cf4deb24439cb692bd6391f435cd.png


The lengths in centimeters (to the nearest centimeter) of $$30$$ carrots are given as follows:

$$15, 22, 21, 20, 22, 15, 15, 20, 20, 15, 20, 18,20, 22, 21,\\ 20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20, 15, 21, 18, 20$$

Arrange the data given above in a table using tally marks and answer the following questions.

What is the number of carrots which have a length of more than $$20$$ cm?


The given data is arranged in a table as shown.

From the table, 
Number of carrots longer than $$20$$ cm $$=6+4=10$$.

1636579_1788771_ans_04811c2210e2416299f978178d272a4f.png


The following pictograph represents some surnames of people listed in the telephone directory of a city.
Observe the pictograph and answer the following questions:
How many people have the surname ‘Roy’?

1788875_0f9b6d4a33d74f89946d534f76d401e5.png

 Surname Number of people 
 Khan$$3\times 100 + 50 = 350$$ 
 Patel
Rao
Roy
Saikia
Singh		 $$5\times 100 = 500$$
$$4\times 100 = 400$$
$$4\times 100 = 400$$
$$2\times 100 =200$$
$$3\times 100 = 300$$
Data from the pictograph can be tabulated as shown.

From the table,
Number of people having the surname 'Roy' $$=400$$


The number of two-wheelers owned individually
by each of $$50$$ families is listed below. Make a table
using tally marks.

$$1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3,1, 0,\\ 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1,2,3, 2, 1, 1$$ 

Find the number of families having two or more, two-wheelers. 

The table is formed as show.

From the table,
Number of families two or more two-wheeles $$= 14+4+1=19$$

1636575_1788768_ans_71a5ba99f9fc44b29e0bf36138b79460.png


Following are the choices of games of  $$40$$ students of
Class VI:

football, cricket, football, kho-kho, hockey, cricket,
hockey, kho-kho, tennis, tennis, cricket, football, football,
hockey, kho-kho, football, cricket, tennis, football, hockey,
kho-kho, football, cricket, cricket, football, hockey, khokho, tennis, football, hockey, cricket, football, hockey,
cricket, football, kho-kho, football, cricket, hockey,
football.
Which game is liked by a minimum number of
students? 

Tennis game is liked by a minimum number of
students
1708579_1788801_ans_3c4e09f3a4274561a7129f600d6b25c7.png


Thirty students were interviewed to find out what they want to be in the future. Their responses are listed below:

doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer

Arrange the data in a table using tally marks.


The given data is arranged in table as shown.
1636608_1788795_ans_42cfa09f496e4b139d0b9c9865151531.png


Fill in the blanks 
A _______ represents data through pictures of
objects.

A pictograph represents the data through pictures of objects.


Fill in the blanks in the following table which
represents a shirt size of $$40$$ students of a school.
1788839_218f7873f3a3461f8123c6e55b9a2e86.png


1903635_1788839_ans_1ad5fc21b2464500970bc8b3bce8cc6d.PNG


Students of Class VI in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows.
Observe the pictograph and answer the following questions:
Which material is used in exactly half the number of articles as those made up of metal?

1788911_0b2f8734c6c34feea29a748e33ea5dc4.png

Data from the pictograph can be tabulated as shown.
 Material used  Number of Articles
Wood
Glass
MEtal
Rubber
Plastic		$$20+10=30$$
$$20$$
$$20+20+10= 50$$
$$20+5=25$$
$$20+15=35$$
 Total $$160$$
From the table,
Number of articles for which Metal is used $$=50$$
Number of articles for which Rubber is used $$=25$$

Hence, Rubber is used in exactly half the number of articles as those made up of metal.


The following pictograph represents some surnames of people listed in the telephone directory of a city.
Observe the pictograph and answer the following questions:
Which surname appears the maximum number of times in the telephone directory?
1788886_da4fccf6a574451aa90fb4570223d3e7.png

 Surname  Number of people
 Khan $$3\times 100 + 50 = 350$$
Patel
Rao
Roy
Saikia
Singh		$$5\times 100 = 500$$
$$4\times 100 = 400$$
$$4\times 100 = 400$$
$$2\times 100 = 200$$
$$3\times 100 = 300$$
Data from the pictograph can be tabulated as shown above.

From the table, we can say that,
The surname 'Patel' appears 500 times, which is the maximum number of times for any surname.


The number of scouts in a school is depicted by the following pictograph.
Observe the pictograph and answer the following questions: 
Which class has the minimum number of scouts?

1788958_a419072f27db45c196fc527805c16e70.png

Data from the pictograph can be tabulated as shown.

From the table,
Class X has the minimum number of scouts.

1636731_1788958_ans_1022b4c14cc14a95a913718b58ee2281.jpg


The number of scouts in a school is depicted by the following pictograph.
Observe the pictograph and answer the following questions: 
Which class has the maximum number of scouts?

1788960_291dc68769264fd2a5dd77295c3f3de0.png

 Class Number of second
 $$VI$$
$$VII$$
$$VIII$$
$$IX$$
$$X$$		$$4\times 10 = 40$$
$$2\times 20=20$$
$$6\times 10 = 60$$
$$3\times 10 = 30$$
$$1 \times 10 = 10$$
 Total $$160$$
Data from the pictograph can be tabulated as shown.

From the table,
Class VIII has the maximum number of scouts.


The number of scouts in a school is depicted by the following pictograph.
Observe the pictograph and answer the following questions: 
Which class has exactly four times the scouts as that of Class X?

1788963_e025f2bfeb964574b80c84a8fd9bc4cc.png

Data from the pictograph can be tabulated as shown.
 Class Number of scouts
 $$VI$$
$$VII$$
$$VIII$$
$$IX$$
$$X$$		$$4\times 10 = 40$$
$$2\times 20=20$$
$$6\times 10 = 60$$
$$3\times 10 = 30$$
$$1 \times 10 = 10$$
 Total $$160$$
From the table,
Number of scouts in class $$X$$ $$=10$$
Number of scouts in class $$VI$$ $$=40$$

Hence, Class $$VI$$ has exactly four times the scouts as that of Class $$X.$$


Students of Class $$VI$$ in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows.
Observe the pictograph and answer the following questions:
Which material is used in the maximum number of articles? 

1788910_94faf9dcff854292b85ce877519d719c.png

Data from the pictograph can be tabulated as shown.
 Material used  Number of Articles
Wood
Glass
Metal
Rubber
Plastic		$$20+10=30$$
$$20$$
$$20+20+10= 50$$
$$20+5=25$$
$$20+15=35$$
 Total $$160$$
From the table,
'Metal' is used in the maximum number of articles.


The following pictograph represents some surnames of people listed in the telephone directory of a city.
Observe the pictograph and answer the following question:
Which two surnames appear an equal number of times? 

1788888_013b84a907e04ff3a6b62a344d63b4e1.png

 Surname  Number of people
Khan$$3\times 100 + 50 = 350$$
Patel
Rao
Roy
Saikia
Singh		$$5\times 100 = 500$$
$$4\times 100 = 400$$
$$4\times 100 = 400$$
$$2\times 100 = 200$$
$$3\times 100 = 300$$
Data from the pictograph can be tabulated as shown.

From the table, It can be interpreted that:
The surname 'Rao' and 'Roy' appear for an equal, $$400$$ times.


Students of Class VI in a school were given a task to count the number of articles made of different materials in school. The information collected by them is represented as follows.
Observe the pictograph and answer the following questions:
Which material is used in a minimum number of articles?

1788908_0e1aeea819e441c396b3c62ca4b6210c.png

 Material used  Number of Articles
Wood
Glass
MEtal
Rubber
Plastic		$$20+10=30$$
$$20$$
$$20+20+10= 50$$
$$20+5=25$$
$$20+15=35$$
 Total $$160$$
Data from the pictograph can be tabulated as shown.

From the table,
'Glass' is used in a minimum $$20$$ number of articles.


The number of scouts in a school is depicted by the following pictograph.
Observe the pictograph and answer the following questions: 
What is the total number of scouts in the Classes VI to X?

1788964_554cf99957294943bb8b08c3f46db398.png

Data from the pictograph can be tabulated as shown.
 Class Number of second
 $$VI$$
$$VII$$
$$VIII$$
$$IX$$
$$X$$		$$4\times 10 = 40$$
$$2\times 20=20$$
$$6\times 10 = 60$$
$$3\times 10 = 30$$
$$1 \times 10 = 10$$
 Total $$160$$
From the table,
Total number of scouts in the Classes VI to X $$=40+20+60+30+10=160$$


The number of scouts in a school is depicted by the following pictograph.
Observe the pictograph and answer the following questions: 
How many scouts are there in Class VI?

1788961_2afc413a5b464b75ae3f1c941ca2a30a.png

Data from the pictograph can be tabulated as shown.
 Class Number of scouts
 VI
 VII
 VIII
 IX
 X		$$4\times 10 = 40$$
$$2\times 20=20$$
$$6\times 10 = 60$$
$$3\times 10 = 30$$
$$1 \times 10 = 10$$
 Total $$160$$
From the table,
Number of scouts in class VI $$=40$$.


The following pictograph depicts the information about the areas in sq-km (to nearest hundred) of some districts of Chhattisgarh State. 
How many districts have an area more than $$5000$$ square kilometers? 

1789069_9a7a526142f04fc2af73e7f63900e893.png

The data in the pictograph can be arrange into a table as shown.
DistrictArea (in $$km^2$$) 
Raigrah
Rajnandgaon
Koria
Mahasamund
Kabirdham
Jashpur		$$6\times 1000 + 500 = 6500$$
$$6\times 1000  = 6000$$
$$7\times 1000 = 7000$$
$$5\times 1000 = 5000$$
$$4\times 1000 = 4000$$
$$6\times 1000 + 500 = 6500$$
Observing the table, we can say that,
$$4$$ districts have an area more than $$5000$$ square kilometers. 


The following pictograph depicts the information about the areas in sq-km (to nearest hundred) of some districts of Chhattisgarh State: 
What is the area of Koria district?

1789049_9793e04cb4af49d5b5735f1dd064ec55.png

 DistrictArea (in $$km^2$$) 
Raigrah
Rajnandgaon
Koria
Mahasamund
Kabirdham
Jashpur		 $$6\times 1000 + 500 = 6500$$
$$6\times 1000  = 6000$$
$$7\times 1000 = 7000$$
$$5\times 1000 = 5000$$
$$4\times 1000 = 4000$$
$$6\times 1000 + 500 = 6500$$
The area of Koria district is $$7000\,km^2$$.


A survey was carried out in a certain school to find out the popular school subjects among students of Classes VI to VIII. The data in this regard is displayed as pictograph is given below.
Find the number of students who like subjects other than Mathematics and Science.

1789024_6502976900c642219c5357989907f9a3.png

From the pictograph, we get the data shown in the table.
 Subject Number of Students
 Hindi$$4\times 50 = 200$$ 
 English
Mathematics
Science
Social Studies		$$3\times 50 = 150$$ 
$$3\times 50 +25= 175$$ 
$$2-50=100$$
$$1\times 50+25 = 75$$ 
 Total $$700$$
$$\therefore$$  Number of students who like subjects other than Mathematics and Science
$$=200+150+75$$
$$=425$$


 Day SundayMondayTuesday
 Tuesday ThursdayFriday 
 Number of bottles 350200 300 250 100 150 
The number of bottles of cold drinks sold by a shopkeeper on six consecutive days is as follows:
Prepare a pictograph of the data using one symbol to represent $$50$$ bottles. 

Taking one symbol of bottle to represent $$50$$ bottles, the pictograph can be made as shown.
1636816_1789085_ans_3c13792afaa34ee29980bb258da839fe.png


A survey was carried out in a certain school to find out the popular school subjects among students of Classes VI to VIII. The data in this regard is displayed as pictograph is given below. 
Which subject is most popular among the students?

1789023_b7810fde15bd43369ea0f00d07c36112.png

Data from the pictograph can be tabulated as shown.
 Subject Number of Students
 Hindi$$4\times 50 = 200$$ 
 English
Mathematics
Science
Social Studies		$$3\times 50 = 150$$ 
$$3\times 50 +25= 175$$ 
$$2-50=100$$
$$1\times 50+25 = 75$$ 
 Total $$700$$
From the table,
The most popular subject is 'Hindi'.


The following pictograph depicts the information about the areas in sq-km (to nearest hundred) of some districts of Chhattisgarh State: 
Which two districts have the same area?

1789051_3d4b2c15cee749318e15551f8ced38a7.png


 DistrictArea (in $$km^2$$) 
Raigrah
Rajnandgaon
Koria
Mahasamund
Kabirdham
Jashpur		$$6\times 1000 + 500 = 6500$$
$$6\times 1000  = 6000$$
$$7\times 1000 = 7000$$
$$5\times 1000 = 5000$$
$$4\times 1000 = 4000$$
$$6\times 1000 + 500 = 6500$$
Raigarh and Jashpur districts have the same area.


A survey was carried out in a certain school to find out the popular school subjects among students of Classes VI to VIII. The data in this regard is displayed as pictograph is given below.
Which subject is most popular among the students?

1789025_d252e12a586540cab359f10559f9bdef.png

From the pictograph, we get the data shown in the table.
 Subject Number of Students
 Hindi$$4\times 50 = 200$$ 
 English
Mathematics
Science
Social Studies		$$3\times 50 = 150$$ 
$$3\times 50 +25= 175$$ 
$$2-50=100$$
$$1\times 50+25 = 75$$ 
 Total $$700$$
Observing the table, we get,
$$200$$ people like the subject Hindi, which is more than any other subject.
$$\therefore$$  Hindi is the most popular among students.


Prepare a pictograph of the information given in
graph. 
1789468_9e3eebc2bca4453fb6fe79ac1f636739.png


1646464_1789468_ans_a56118654def40e1abb7cb71bb42060a.png


The following table shows the area of the land on which different crops were grown.
 CropArea of land (in million hectors) 
Rice
Wheat		$$50$$
$$30$$
Pulses
Sugarcane
Cotton		$$20$$
$$25$$
$$15$$
Prepare a pictograph by choosing a suitable symbol to represent $$10$$ million hectares. 


1646516_1789493_ans_ed6e35c86e2a4f05adf3ac5607c17225.png


Prepare a pictograph of the data by taking a
suitable symbol to represent $$200$$ kilometers. 
1789465_603e7c1aa20b43ec858ead0008e71775.png



1646459_1789465_ans_6aa968a354eb45198878f287fbddc45b.png


Complete the following table :
Find the total number of persons whose weights are given in the above table.
1793592_753ac12bc56045aeba109314c0cb6855.png

One line represents to count $$1$$ and one cross line over other four lines means it is set of $$5$$, So by counting these we can complete frequency table.
So, from table
Total persons $$ =35 $$ 

1689973_1793592_ans_fe00d8097e954bbb8fcec195bd09e996.png


Total number of animals in five villages are as follows:
Villages A  :80               Village B   :120
Village C  :90                 Village D :40
Village E  :60
Prepare a pictograph of these animals using one symbol to represent $$10$$ animals and answer the following question:
Which village has more animals : Village A or Village C ?

Village C(90) has more animal than Village A(80)
1877984_1800380_ans_c8552f9a8966436ea503dc737afaa09b.png


Total number of animals in five villages are as follows:
Villages A  :80               Village B   :120
Village C  :90                 Village D :40
Village E  :60
Prepare a pictograph of these animals using one symbol to represent $$10$$ animals and answer the following question:
Which village has the maximum number of animals ?

Village B
1877982_1800379_ans_9a71542c6f7e4c2290ebd90851ea5ced.png


Total number of animals in five villages are as follows:
Villages A  :80               Village B   :120
Village C  :90                 Village D :40
Village E  :60
Prepare a pictograph of these animals using one symbol to represent $$10$$ animals and answer the following question:
How many symbols represent animals of village $$E$$ ?

$$6$$
1877980_1800378_ans_24683fb295304d6f969a5577bf729977.png


The number of girl students in each class of a co-educational middle school is depicted by the pictograph.
Observe this pictograph and answer the following question:
Is the number of girls in VI less than the number of girls in Class V ?
1800367_8cff88e383624ad4b73688d01a5f8bcf.png

No! the number of girls in class VI(i.e, 16) has more than the number of girls in Class V(i.e, 10).


Fill in the blanks:
In a pictograph, if one bicycle represents $$20$$ bicycles then $$140$$ bicycles can be represented by ................. bicycles.

In a pictograph, if one bicycle represents $$20$$ bicycles then $$140$$ bicycles can be represented by $$7(\dfrac{140}{20})$$ bicycles.


Fill in the blanks:
The frequency of $$8$$ is written symbolically as ........ using tally marks.

The frequency of $$8$$ is written symbolically as (refer to figure) using tally marks.
2002788_1800478_ans_345f20322dd04febaea435b039110933.png


Fill in the blanks:
In a pictograph, if one electric bulb represents $$10$$ bulbs then the picture of half a bulb will represent ....... bulbs.

In a pictograph, if one electric bulb represents $$10$$ bulbs then the picture of half a bulb will represent $$\underline{=\dfrac{10}{2}=5}$$ bulbs


Fill in the blanks:
A pictorial representation of a data is called a .........

A pictorial representation of a data is called a pictograph.


A die is thrown $$25$$ times and the scores were as given below:
$$2, 1, 4, 6, 2, 3, 1, 5, 6, 3, 4, 5, 2, 1, 6, 6, 6, 3, 2, 2, 2, 4, 3, 2, 2$$
Construct tally chart and frequency distribution table.

Tally chart and frequency distribution table.
2004842_1800523_ans_65f56711ebd040c18fa07bc43662e9e5.png


In primary school, the number of students in different classes are as follows:
ClassIIIIIIIVV
Number of students200180140160120
Represent this data by a pictograph, using (refer to figure) 20 students.
1800527_79fee7a4674a4686b2040b58131570d4.png

The pictograph for the given information is:
2004837_1800527_ans_1e50fcccfd0d454682c9b4b6552b0bed.png


The following pictograph shows different subject books which are kept in a school library.
Taking symbol of one book $$=50$$ books, find:
how many Science books are there in the library?
1823582_95fc34e1824a436f9fd8be2c999db2f1.png

Given
One book $$=50$$ books
Hence, total number of Science books can be calculated as below 
Total number of Science books $$=50\times 5.5$$
$$=275$$ books
Therefore, there are $$275$$ Science books in the library


The sale of electric bulbs on different days of a week is shown below:
Observe the pictograph and answer the following questions:
On Which of the days minimum number of bulbs were sold?

1868776_d326bec344fc4957a238382eea4bb122.png

The minimum numbers of bulbs (i.e., $$8$$) were so Id on Wednesday and Saturday.


The sale of electric bulbs on different days of a week is shown below:
Observe the pictograph and answer the following questions:
On Which of the days, the same number of bulbs were sold?

1868773_ff90d199b5da48feaa539705df27b213.png

Equal numbers of bulbs (i.e., $$48$$) were sold on Wednesday and Saturday.


Prepare a tally marking chart for the marks scored by 70 students in an examination, by taking the class interval of 5.
28171522292123271812729418310
5201512843327211533627211533716
2892463231291814131511971537
322324201925192515192519206930

Solution is as follows:
2150265_2027695_ans_6b8d23bfac5c401a8d70b796fdd4d5d1.jpeg


Following data shows the weekly wages (in ) of $$10$$ workers in a factory.$$3500, 4250, 4000, 4250, 4000, 3750, 4750, 4000, 4250$$ and $$4000$$.
How many workers are getting the maximum wages?

One worker is getting the maximum wages of 4750.

 Weekly wages (in Rs.)Tally marks Frequency 
 $$3500$$ | $$1$$
 $$3750$$ | $$1$$
 $$4000$$ |||| $$4$$
 $$4250$$ ||| $$3$$
 $$4750$$ | $$1$$
 Total   $$10$$


Complete the Following Table.
1855419_56b52f400e6d4fceaf186f1293e9fe44.png


1817415_1855419_ans_8df82396378f4a15af78a4faa06b2e56.png


Fill in the blanks 
An observation occurring seven times in a data is represented as _____ using tally marks.

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


The following are the details or the number of students in a class of 30 students present during a week.
DayNumber of students present 
Monday24
Tuesday20
Wednesday28
Thursday30
Friday 26
Saturday22
Represent the above data by a pictograph.

Given that
The details or the number of students in a class of 30 students present during a week
 Day Number of students present
 Monday 24
 Tuesday 20
 Wednesday 28
Thursday 30
 Friday
 26
 Saturday 22

1492934_1675298_ans_872f58a5cb2048bc89c7cf2ed5b2e993.png


Total number of students of a school in different years is shown in the following table:
Year Number of students
1996400
1998550
2000450
2002600
2004650
Represent the above data by a pictograph.
Prepare a pictograph of students using one symbol an icon of a student to represent 100 students and answer the following question:
How many symbols represent total number of students in the year 2002?

From pictograph, we can observe that 6 symbols are required to represent total number of students in the year 2002.
1492923_1675318_ans_9be194c1ab1443448409ccd667139910.png


The pictograph shows different subject books which are kept in a library.
Which books are maximum in number?
1675379_ce799b28bde64c17854cc4107dc4469b.png

In the question,
the pictograph shows different books which are kept in a library.
Now we can convert the pictograph to table(frequency table)

Subject                   Hindi               English                History            Science             Maths
No. of Books           $$550$$                   $$800$$                    $$200$$                   $$400$$                  $$250$$

$$\Rightarrow$$ No. of English Books are there in the library is $$800$$
$$\Rightarrow$$ No. of Maths Books are there in library is $$250$$
$$\Rightarrow$$ Maximum no. of Books $$800$$
i.e., English Books are maximum.


The following table shows the daily production of T.V. sets in the industry for $$7$$ days of a week:
Day MonTueWedThursFriSatSun
Number of T.V. Sets$$300$$$$400$$$$150$$$$250$$$$100$$$$350$$$$200$$
Represent the above information by a pictograph.


1474633_1675347_ans_04caa6a304d34e16bac45cbe2c0cdb60.png


Class 6 Maths Extra Questions