Presentation Of Data - Class 11 Commerce Economics - Extra Questions

How much percentage is wheat more than cotton?
712541_a1207e790ed547acbafdc0464ef064df.JPG



How many kilograms of sesame was bought?
712541_a1207e790ed547acbafdc0464ef064df.JPG



How many percentage of expenditure is done for education?
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Use Graph paper for this question. A Survey regarding height (in cm ) of $$60$$ boys belonging to Class $$10$$ of a school was conducted. The following data was recorded.
Height in cm$$135-140$$$$140-145$$$$145-150$$$$150-155$$$$155-160$$$$160-165$$$$165-170$$
No. of boys$$4$$$$8$$$$20$$$$14$$$$7$$$$6$$$$1$$
Taking $$2$$cm $$=$$ height of $$10$$cm along one axis and $$2$$cm $$=10$$ boys along the other axis draw an ogive of the distribution. Use the graph to estimate the median.



Draw histogram and frequency polygon on the same graph paper for the following frequency distribution.
ClassFrequency
$$15-20$$$$20$$
$$20-25$$$$30$$
$$25-30$$$$50$$
$$30-35$$$$40$$
$$35-40$$$$25$$
$$40-45$$$$10$$



$${32}^{o}$$$${34}^{o}$$$${36}^{o}$$$${37}^{o}$$$${38}^{o}$$
$${34}^{o}$$$${31}^{o}$$$${34}^{o}$$$${37}^{o}$$$${37}^{o}$$
$${37}^{o}$$$${35}^{o}$$$${32}^{o}$$$${34}^{o}$$$${38}^{o}$$
$${39}^{o}$$$${31}^{o}$$$${36}^{o}$$$${36}^{o}$$$${39}^{o}$$
$${34}^{o}$$$${33}^{o}$$$${35}^{o}$$$${34}^{o}$$$${33}^{o}$$
$${37}^{o}$$$${33}^{o}$$$${32}^{o}$$$${34}^{o}$$$${38}^{o}$$
find the Mean Median Mode of the given table by $$DEVIATION$$ METHOD with Each step for Mean Median Mode.



The number of saplings planted by schools on World Tree Day is given in the table below. Draw a joint bar graph to show these figures.
School names\Name of saplings
AlmondKaranjNeemAshokGulmohar
Nutan Vidyalaya4060721542
Bharat Vidyalaya4238602540



A shop has the following number of shoe pairs of different sizes 
Size$$2:20$$ Size$$3:30$$ Size$$4:28$$ Size$$5:14$$ Size$$6:8$$
Write this information in tabular form as done earlier and find the percentage of each shoe size available in the shop.



On the basis of information given below, calculate $$AR$$ and $$MR$$ and explain their mutual relationship.
Units of a Good$$1$$$$2$$$$3$$$$4$$$$5$$$$6$$
$$TR (Rs.)$$$$4$$$$7$$$$9$$$$10$$$$10$$$$9$$



Obtain crude death rates $$(C.D.R)$$ for city $$A$$ and city $$B$$ from the given below:


1284543_64f69a7fd22941f1ab6b9dbc14d44a28.png



MarksNo. of students 
 $$1-20$$$$8$$
$$21-40$$$$12$$
$$41-50$$$$15$$
$$51-60$$$$20$$
$$61-70$$$$13$$
$$71-80$$$$17$$
$$81-90$$$$5$$
Number of students obtained marks between $$41$$ to $$80$$



Sanya, Aarushi, Manav and Kabir made greeting cards. Complete the table for their cards:
1293693_58da4ac16128482ca780078884217eb1.png



The minimum cost of each tablet is Rs. 10 and each capsule is Rs.If the cost of 8 tablets and 5 capsules is not less than Rs. 150, frame the inequations for the given data.



The bar graph as shown in above figure represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:
What percentage of the total number of students have their heights more than 149 cm?
1671021_b7a7c7cea98840e3a4e29be3bda04d22.png



What do you mean by the term sorting of data ?



In a school, $$46$$ students of $$9th$$ standard were told to measure the lengths of the pencils in their compass-boxes in centimeters. The data collected was as follows.
$$16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10$$.
By taking inclusive classes $$0-5, 5-10, 10-15....$$ prepare a grouped frequency distribution table.



The ages of ten students of a group are given below. The ages have been recorded in
$$\text{years - months:}$$
$$8-6,9-0,8-4,9-3,7-8,8-11,8-7,9-2,7-10,8-8$$
What is the lowest age?



The following are the favorite cartoon characters of $$15$$ children.  
Doraemon, Jerry, Mickey mouse, Jerry, Tom, Doraemon,  Doraemon, Mickey Mouse, Mickey mouse, Jerry, Jerry, Jerry, Doraemon, Doraemon, Doraemon.
Arrange the names of the cartoon characters in a table using tally marks.



The bar graph as shown in above figure represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:
The school wants to provide a particular type of tonic to each student below the height of 150 cm to improve his height. If the cost of the tonic for each student comes out to be Rs 55, how much amount of money is required?
1671029_5294a3c6493e41e0959d4c44c6cf55de.png



The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow.
On which day was the temperature highest for the second week?
1794382_991132ce6c444b4c953e5340e21b89ca.png



Data available in an unorganised form is called _______ data



The bar graph shown in Fig.16 represents the circulation of newspapers in 10 languages.
study the bar graph and answer the following question:
State the language other than english in which the number of newspaper published is between 2500 and 3500.
1671084_2a856ed9001b4135ae4a9be99eceea4f.png



The table given below shows the temperatures recorded on a day at different times.
Observe the table and answer the following questions.
During which hour was there a constant temperature?
1794534_2a909471222045b69e82a6492bf2b301.png



The bar graph drawn below shoes the number of tickets sold during a fair by $$6$$ students $$A, B, C, D, E$$ and $$F$$
Using the Bar graph, answer the following question:
What is the average number of tickets sold per student?
1823627_08ef579b38384d539d7c71b8950ed541.png



How is the data of a measurement recorded in tabular form? Describe in steps.



A pie chart is constructed by converting the share of each component into a percentage of 360 degrees Music preferences in 13 to 19 year (teenagers) olds are clearly shown in the figure
Find the percentage occupied by the music which is least liked?

328024_32e0d04c6d2e4d36b8503b640764789d.png



Plot the frequency curve for the following histogram.

461802.PNG



Draw frequency curve for the following histogram.

461800.PNG



Marks of $$30$$ students in mathematics test are given in the adjacent grouped frequency distribution.
Sl. NoMarksNo of students
$$1$$$$0 - 5$$$$5$$
$$2$$$$5 - 10$$$$7$$
$$3$$$$10 - 15$$$$10$$
$$4$$$$15 - 20$$$$6$$
$$5$$$$20 - 25$$$$2$$
What are the marks of $$6$$ students who are in $$4^{th}$$ class interval?



Marks of $$30$$ students in mathematics test are given in the adjacent grouped frequency distribution.
Sl. NoMarksNo of students
$$1$$$$0 - 5$$$$5$$
$$2$$$$5 - 10$$$$7$$
$$3$$$$10 - 15$$$$10$$
$$4$$$$15 - 20$$$$6$$
$$5$$$$20 - 25$$$$2$$
If a student gets $$10$$ marks, should he be included in $$2nd$$ or $$3rd$$ class?



The following is the frequency distribution with unknown frequencies
Class$$60-70$$$$70-80$$$$80-90$$$$90-100$$Total
Frequency$$\dfrac{a}{2}$$$$\dfrac{3a}{2}$$$$2a$$$$a$$$$50$$
Find the value of $$a$$, hence find the frequencies. Draw a histogram and frequency polygon on the same coordinate system.



The following data give the number of students using different modes of transport:
Modes of Transport      Number of Students
Bicycle$$140$$
Bus$$100$$
Walk$$70$$
Train$$40$$
Car$$10$$
From this table, find the central angle $$(\theta)$$ for the Mode of Transport 'Bus'



How many students scored full marks in the test?



Draw a subdivided bar graph to illustrate the given data
 YearsWheat Barley Oats 
 199134 18 27 
 199243 14 24 
 199343 16 27 
 199445 13 34 



How many students scored $$3$$ or more than $$3$$ marks?



In all how many rupees were collected as fund?
712536_7e3dd7a441d14dea8ab8982f55c4d7e7.JPG



What percentage of Asopalav tree were planted? 
730947_c5e4e5e9ed91474bac8d4d618932de31.JPG



What percentage of Gulmohar sapling were planted? in % .
730947_c5e4e5e9ed91474bac8d4d618932de31.JPG



How many runs did sachin score? in % 
730954_291dbcf3db5243049b6f058b86fc0172.JPG



Find the degree measuremnet of the runs scored by Parthiv? in degrees. 
730954_291dbcf3db5243049b6f058b86fc0172.JPG



Distinguish between:
Simple Bar Diagram and Multiple Bar Diagram



State whether True or False. Give Reasons.
Histogram is a type of diagram.



Distinguish Between.
Simple Bar Diagram and Multiple Bar Diagram.



Define or explain the concepts:
Percentage Bar



Answer in detail:
What is a Multiple Bar Diagram? 
Prepare a Multiple Bar Diagram from the following data.
ProductProduction (in million tonnes)

200820092010
Rice300350400
Wheat200275300
Sugar100120160



Do you agree with the statement? Give reasons
There is a only one type of diagram.



Answer the following:
What are the general principles for the construction of a diagram?



An oil company has tow depots A and B with capacities of $$7000\ L$$ and $$4000\ L$$ respectively. The company is to supply oil to three petrol pumps $$D, E$$ and $$F$$ whose requirements are $$4500L, 3000L$$ and $$3500L$$ respectively. The distances (in km) between the depots and the petrol pumps is given in the following table:
Distance in kmDistance in km
From/ To$$A$$$$B$$
$$D$$$$7$$$$3$$
$$E$$$$6$$$$4$$
$$F$$$$3$$$$2$$
Assuming that the transportation cost of $$10$$ litres of oil is $$Rs.1$$ per km, how should the delivery be scheduled in order that the transportation cost is minimum.



Answer in detail:
What is a Simple Bar Diagram?
Construct a Simple bar diagram from the following data
Year20012002200320042005
No of Workers4080120160240



Write Short Notes on the following:
Multiple Bar Diagram



Answer in detail:
What is a sub divided bar diagram? 
Draw a sub divided bar diagram from the following data?
StreamNo of Students
200920102011
Arts507075
Science200250300
Commerce100120130



The random variable $$X$$ can take only the values $$0, 1, 2, 3$$. Given that $$P(X = 0) = P(X = 1) = p$$ and $$P(X = 2) = P(X =3)$$ such that $$\sum p_{i}x_{i}^{2} = 2\sum p_{i}x_{i}$$ find the value of $$p$$.



Complete the following table. Identify the phase of production which is relevant from the viewpoint of producer's equilibrium.
Units of Labour$$TP$$$$AP$$$$MP$$
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$6$$
$$7$$
$$8$$
$$4$$
$$12$$
$$24$$
$$32$$
$$36$$
$$36$$
$$28$$
$$16$$
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-



There are four consumers of a fruit called a smile. They are Isla, Ifraah, Ila and Ibema. Their demand curves for smile are given below. Derive the market demand curve.
Price (Rs.)Quantity Demanded by Isla (Units)Quantity Demanded by Ifraah (Units)Quantity Demanded by Ila (Units)Quantity Demanded by Ibema (Units)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$6$$
$$16$$
$$11$$
$$7$$
$$4$$
$$2$$
$$1$$
$$7$$
$$6$$
$$5$$
$$4$$
$$3$$
$$2$$
$$15$$
$$12$$
$$9$$
$$6$$
$$3$$
$$0$$
$$8$$
$$6$$
$$4$$
$$2$$
$$0$$
$$0$$



Demand schedule for three consumers such as Mohan, Rohan and Mitu for a commodity is given below. Derive the market demand schedule.
Price (Rs.)Demand Schedule of Mohan (Units)Demand Schedule of Rohan (Units)Demand Schedule of Mitu (Units)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$60$$
$$50$$
$$40$$
$$30$$
$$20$$
$$55$$
$$40$$
$$25$$
$$10$$
$$0$$
$$24$$
$$13$$
$$5$$
$$0$$
$$0$$



From the following table prepare demand schedule for household $$B$$, given demand schedule of household $$A, C$$ and market demand schedule.
Price (Rs.)Household $$A$$ (Units)Household $$B$$ (Units)Household $$C$$ (Units)Market Demand (Units)
$$7$$
$$6$$
$$5$$
$$4$$
$$3$$
$$6$$
$$8$$
$$12$$
$$17$$
$$24$$
-
-
-
-
-

$$11$$
$$16$$
$$22$$
$$30$$
$$42$$
$$26$$
$$36$$
$$51$$
$$71$$
$$98$$



Calculate average physical product and marginal physical product, given the following information about total physical product of a firm.
Employment of Variable Factor (Units)Employment of Fixed Factor (Units)
Total Physical Product (Units)
$$0$$
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$6$$
$$7$$
$$5$$
$$5$$
$$5$$
$$5$$
$$5$$
$$5$$
$$5$$
$$5$$
$$0$$
$$10$$
$$24$$
$$40$$
$$56$$
$$70$$
$$80$$
$$84$$



Given the following information about a firm, identify the stages of production.
Units of Labour$$1$$$$2$$$$3$$$$4$$$$5$$$6$$$$7$$$$8$$
Units of output$$4$$$$12$$$$24$$$$32$$$$36$$$$36$$$$28$$$$16$$



Complete the following table:
Output
(Units)
Total Cost
(Rs.)
Average Variable Cost
(Rs.)
Marginal Cost
(Rs.)
Average Fixed Cost
(Rs.)
$$0$$
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$30$$
-
$$68$$
$$84$$
-
$$125$$
-
-
-
$$18$$
-
$$19$$
-
$$20$$
-
-
$$18$$
-
-
-
-
-
-
$$6$$



Demand schedule for commodity - $$X$$ of individual $$A$$ and $$B$$ is given in the following table. Derive the market demand schedule and market demand curve.
Price of Commodity - $$X (Rs.)$$Demand of $$A$$ (Units)Demand of $$B$$ (Units)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$9$$
$$7$$
$$6$$
$$4$$
$$3$$
$$7$$
$$6$$
$$5$$
$$4$$
$$3$$



From the table given below, calculate total revenue, average revenue, and marginal revenue.
Units SoldPrice (Rs.)Total Revenue (Rs.)Marginal Revenue (Rs.)
$$5$$
$$4$$
$$3$$
$$6$$
$$7$$
$$8$$
-
-
-
-
-
-



Find out the average revenue and marginal revenue on the basis of the following data:
Units of ProductionTotal Revenue (Rs.)Average Revenue (Rs.)Marginal Revenue (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$6$$
$$7$$
$$20$$
$$36$$
$$48$$
$$56$$
$$60$$
$$60$$
$$56$$
--



Completer the following table:
Output (Units)Average Fixed Cost (Rs.)Average Variable Cost (Rs.)Marginal Cost (Rs.)Total Cost (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$120$$
$$60$$
-
$$30$$
-
$$40$$
$$56$$
$$54$$
-
-
-
-
-
$$54$$
-
-
$$232$$
-
-
-



Complete the following table:
Output (Units)Price (Rs.)Total Revenue (Rs.)Marginal Revenue (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
-
-
-
-
$$6$$
-
-
-
-
$$2$$
$$-2$$
$$-2$$



Complete the following table:
Output (Units)Total Cost (Rs.)Average Variable Cost (Rs.)Marginal Cost (Rs.)Average Fixed Cost (Rs.)
$$0$$
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$30$$
-
$$78$$
-
-
$$150$$
-
-
-
$$23$$
-
-
-
$$25$$
-
-
$$23$$
-
-
$$30$$
-
$$10$$
-
$$6$$



Complete the following table:
Output (Units)Average Revenue (Rs.)Marginal Revenue (Rs.)Total Revenue (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
-
-
$$11$$
-
$$15$$
-
-
$$3$$
-
$$26$$
-
-



Complete the following table:
Output (Units)Marginal Cost (Rs.)Average Variable Cost (Rs.)Total Cost (Rs.)Average Fixed Cost (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$60$$
-
-
$$54$$
-
-
-
$$54$$
-
$$57$$
$$120$$
$$174$$
-
-
$$345$$
-
-
-
$$15$$
-



Complete the following table:
Output (Units)Average Fixed Cost (Rs.)Marginal Cost (Rs.)Average Variable Cost (Rs.)Average Cost (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$60$$
-
$$20$$
-
$$12$$
$$20$$
-
-
$$18$$
-
-
$$19$$
$$18$$
-
-
-
-
-
-
$$31$$



Calculate marginal revenue using following information:
Price (Rs.)$$10$$$$9$$
Sale/ Demand (Units)$$100$$$$110$$



Complete the following table:
Output (Units)Price (Rs.)Marginal Revenue (Rs.)Total Revenue (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
-
-
$$22$$
-
$$30$$
-
-
$$6$$
-
$$52$$
-
-



Find producer's equilibrium, from the following. Give logical reason.
Quantity Sold (Units)Total Revenue (Rs.)Total Cost (Rs.)
$$5$$
$$6$$
$$7$$
$$8$$
$$9$$
$$10$$
$$15$$
$$20$$
$$25$$
$$30$$
$$35$$
$$40$$
$$18$$
$$22$$
$$26$$
$$27$$
$$32$$
$$38$$



The following distribution gives the daily income of $$50$$ workers of a factory.
Daily income (in Rupees)
$$250-300$$$$300-350$$$$350-400$$$$400-450$$$$450-500$$
Number of workers $$12$$$$14$$$$8$$$$6$$$$10$$
Convert the above distribution to a less than type cumulative frequency distribution and draw its ogive.



Find the profit maximising level of output.
Quantity Sold (Units)Total Revenue (Rs.)Marginal Cost (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$12$$
$$26$$
$$34$$
$$40$$
$$42$$
$$15$$
$$9$$
$$6$$
$$2$$
$$3$$



Find out the profit from the following:
Quantity Sold (Units)Price (Rs. per unit)Average Cost (Rs.)
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$15$$
$$16$$
$$17$$
$$18$$
$$19$$
$$15$$
$$12$$
$$10$$
$$12$$
$$14$$



The annual profits earned by $$30$$ shops of a shopping complex in a locality give rise to the following distributions:
Profit (in lakhs in Rs.)Number of shops (Frequency)
More than or equal to $$5$$$$30$$
More than or equal to $$10$$$$28$$
More than or equal to $$15$$$$16$$
More than or equal to $$20$$$$14$$
More than or equal to $$25$$$$10$$
More than or equal to $$30$$$$7$$
More than or equal to $$35$$$$3$$
Draw both ogives for the above data and hence obtain the median.



The following table gives the height of trees:
HeightNo. of trees
Less than $$7$$$$26$$
Less than $$14$$$$57$$
Less than $$21$$$$92$$
Less than $$28$$$$134$$
Less than $$35$$$$216$$
Less than $$42$$$$287$$
Less than $$49$$$$341$$
Less than $$56$$$$360$$
Draw 'less than' ogive and 'more than' ogive.



Complete the following table:
Output (Units)Price (Rs.)Total Revenue (Rs.)Marginal Revenue (Rs.)
-
-
-
-
$$10$$
$$7$$
$$5$$
$$3$$
-
-
-
-
$$10$$
$$4$$
$$1$$
$$-3$$



A perfectly competitive firm faces the market price of $$Rs. 20$$ per unit. Derive its $$TR$$ schedule for a range of output from $$1$$ to $$10$$ units. What will happens to market price if the firm decides to suspend its production for the time being?



Complete the following table:
Units of OutputTotal Revenue (Rs.)Average Revenue (Rs.)Marginal Revenue (Rs.)
$$1$$
$$2$$
$$3$$
-
-
-
$$10$$
$$8$$
$$6$$
-
-
-



Complete the following table:
Price (Rs.)Output (Units)Total Revenue (Rs.)Marginal Revenue (Rs.)
$$7$$
-
-
$$1$$
-
$$2$$
$$3$$
-
$$7$$
$$10$$
-
-
-
-
$$-1$$
$$-5$$



Consider the following distribution:
Marks0 or more10 or more20 or more30 or more40 or more50 or more
Number of Students635855514842
(a) Calculate the frequency of class 30 - 40.
(b) Calculate the class mark of the class 10 - 20.



During the medical check-up of $$35$$ students of a class, their weights were recorded as follows :
Weight (in $$kg$$)Number of students
Less than $$38$$$$0$$
Less than $$40$$$$3$$
Less than $$42$$$$5$$
Less than $$44$$$$9$$
Less than $$46$$$$14$$
Less than $$48$$$$28$$
Less than $$50$$$$32$$
Less than $$52$$$$35$$
Draw less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula.



Organise the following marks in a class assessment in a tabular form.
$$4,6,7,5,6,5,4,5,2,6,2,5,1,9,6,5,8,4,6,7$$



The following table shows the details of items purchased in a school for the noon-meal.
ItemsQuantityPrice for $$1$$ kilogram (in rupees)Total price
Tomato$$2$$ kg$$20\dfrac{1}{2}$$$$41$$ rupees
Potato$$3\dfrac{1}{2}$$ kg$$25$$-
Peas$$5$$ kg$$30\dfrac{1}{2}$$-
Dal$$2\dfrac{1}{4}$$ kg$$32$$-
What is the total weight of all the items?



The amount collected by $$15$$ students for flood relief find is given below. Answer the following. 
Amount Number of students
$$0-10$$$$3$$
$$10-20$$$$4$$
$$20-30$$$$5$$
$$30-40$$$$2$$
$$40-50$$$$1$$
(i)How many students collected less than $$Rs.\ 20$$?



The weight of new born babies (inn kg) in a hospital on a particular day are as follows
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
(a) How many babies were born on that day?
(b) How many babies weigh below 2.5 kg?
(c) How many babies weigh more than 2.8 kg?
(D) How many babies weigh 2.8?



The following tables gives production yield per hectare (in quintals) of wheat of $$100$$ farms of a village. 
Production
yield/hect 
$$40-45$$
$$45-50$$
$$50-55$$
$$55-60$$
$$60-65$$
$$65-70$$
No. of farms
$$4$$$$6$$$$16$$
$$20$$
$$30$$
$$24$$
Change the distribution to a more than type distribution and draw its ogive



The following is the favourite cartoon characters of $$15$$ children.  
Doraemon, Jerry, Mickey mouse, Jerry, Tom, Doraemon,  Doraemon, Mickey mouse, Mickey mouse, Jerry,, Jerry,, Jerry, Doraemon, Doraemon, Doraemon. 
Which cartoon character is liked least by the children



The following are the favorite cartoon characters of $$15$$ children.  
Doraemon, Jerry, Mickey mouse, Jerry, Tom, Doraemon,  Doraemon, Mickey Mouse, Mickey mouse, Jerry, Jerry, Jerry, Doraemon, Doraemon, Doraemon. 
Which cartoon character is liked by most of the children



The ages of ten students of a group are given below. The ages have been recorded in years and months:
$$8-6,9-0,8-4,9-3,7-8,8-11,8-7,9-2,7-10,8-8$$
What is the highest age?



The monthly pocket money of six friends is given below:
Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45
What is the highest pocket money?



The monthly pocket money of six friends is given below:
Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45
What is the lowest pocket money?



Read the bar graph given in Fig. 23.18 and answer the following question:
What information does it give?
1671108_c098ccbcb5d441b7a1cc451aa5ce537e.png



The production of oil (in lakh tonnes) in some of the refineries in India during 1982 was given below : 
Refinery :BarauniKoyaliMathuraMumbaiFlorida
Production of oil 
(in lakh tonnes )
3070404525
Construct a bar graph to represent the above data so that the bars are drawn horizontally.



The ages of ten students of a group are given below. The ages have been recorded in years and months:
$$8-6,9-0,8-4,9-3,7-8,8-11,8-7,9-2,7-10,8-8$$
Determine the range?



The monthly pocket money of six friends is given below:
Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45
What is the range?



The pie-chart given in Fig. shows the annual agricultural production of an Indian state. If the total production of the all commodities in $$81000\ tonnes,$$ find the production (in tonnes) of
Wheat
1673907_567d4ebbd21c4902a33151d51201381d.png



The pie chart given in the figure shows the annual agricultural production of an Indian state. If the total production of all commodities is $$81000\ tonnes,$$ find the production (in tones) of
Sugar.
1673912_f3e32a54e95240d3b14e3291379c8581.png



The pie-chart given in Fig.25.18 shows the annual agricultural production of an Indian state. If the total production of the all commodities in $$81000\ tonnes,$$ find the production (in tonnes) of
Gram
1673935_c78d1a743dce4a7ea525f32d7ca33c4c.png



Locate the points:
$$(1,3), (2,3), (3,3), (4,3)$$



The pie-chart given in Fig.25.18 shows the annual agricultural production of an Indian state. If the total production of the all commodities in $$81000\ tonnes,$$ find the production (in tonnes) of
Maize
1673931_7ebb43c8f7ec4e7189c9988bd10985f4.png



The following pie-chart shows the number of students admitted in different faculties of a college. If $$1000$$ students are admitted in Science answer the following:
What is the total number of students?
1673936_fc1c3d3acb0349319a0dc6121e6bc0ff.png



The pie-chart given in Fig.25.18 shows the annual agricultural production of an Indian state. If the total production of the all commodities in $$81000\ tonnes,$$ find the production (in tonnes) of
Rice
1673929_94ab1e6528704372a3ce04afecc9cbc1.png



The following pie-chart shows the monthly expenditure of Shikha on various items. If she spends $$Rs\ 16000$$ per month, answer the following question:
How much she spend on rent ? (in Rs)
1673972_87f96c31790543bd85941049662f5276.png



Locate the points:
$$(1,4), (2,4), (3,4), (4,4)$$



Read the following bar graph and answer the following questions:
In which year the export is minimum?
1675400_f233e960abe141afbfc98888cc7d3f4d.png



Read the bar graph shown in fig. and answer the following question:
Of which state, were the maximum number of tickets sold?

1675384_1221074e1b754d689b8157d5693d4e5e.png



Read the following bar graph and answer the following questions:
In which year the import is maximum?
1675402_1a3d5c7e1b9b4d5ab75d5450955ab0df.png



Define the following terms: data



The following bar graph (Fig.) represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:
The school wants to provide a particular type of tonic to each student below the height of 150 cm to improve his height. If the cost of the tonic for each student comes out to be Rs 55, how much amount of money is required?
1675620_fd176c253fef44c880c3d703c5a16d06.png



The number of stools in five rooms of a school are given below, Draw a pictograph of stools in the five rooms
Room number $$I$$$$II$$$$III$$$$IV$$$$V$$
Number of stools$$30$$$$40$$$$60$$$$50$$$$20$$

1778419_167da2c028da43fe9467e34ad77b2e5d.png



The number of students who were absent from the class during a week is given below, Draw the pictograph of the number of students who were absent from the class during the week.
DayMondayTuesdayWednesdayThursdayFriday
No. of absentees $$6$$$$2$$$$4$$$$2$$$$8$$


1778414_121dd05b87ce4791ad554c903e90310f.png



Define the term Observations



In a class test, the number of students passed in various subjects are given below. Draw the pictograph of number of students passed in various subjects.
SubjectEnglishMathematicsHindiDrawing
Number of students passes$$15$$$$25$$$$10$$$$20$$

1778423_3e7c3f4cd90d4ad796a089659606a006.png



Define the term:
Tabulation of data



No. of children$$0$$$$1$$$$2$$$$3$$$$4$$$$5$$
No. of families$$5$$$$11$$$$25$$$$12$$$$5$$$$2$$
Which values is discussed here?



Fill in the blanks:
Arranging the data in the form of a table is called ................ of data.



Some people of society decreased with area with flags and tricolour ribbons on Republic day. the following data shown the number of person in different age group who participated in the decoration.
Age (in years)$$5-15$$$$15-25$$$$25-35$$$$35-45$$$$45-55$$$$55-65$$
Number of patients $$6$$$$11$$$$21$$$$23$$$$14$$$$5$$



Define the term Tabulation of data



 Explain the situations represented by the following distance- time graphs.
1794322_d4ae56b26fee4db7a00c97ac6409f991.png



The cost of a notebook is Rs $$10$$. Draw a graph after making a table showing the cost of 2, 3, 4 ... notebooks. Use it to find
(a) the cost of $$7$$ notebooks. 
(b) the number of notebooks that can be purchased with Rs$$50$$.



Complete the given tables and draw a graph for each.
Second table:
1794346_c2e115bb3e13448b80263144dcd5e956.png



Complete the given table and draw a graph.
1794344_12f12698fb7043d582e001f1e2b0559e.PNG



The following table gives the number of pages written by Sarika for completing her own book for 30 days :
Number of pages written per day16-1819-2122-2425-2728-30
Number of days134913



Study the bar graph given below and answer the question that follow:
(a)  What information does the above bar graph represent?
(b) In which year was production the least?
(c)  After which year was the maximum rise in the production?
(d)  Find the average production of rice during the 5 years.
(e)  Find the difference of rice production between years $$2006\, and\, 2008$$.

1795038_e85a90ff72b840d993cde279b04d7dd5.png



Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand at least 150m (492 ft.) tall, based on standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data is given as per the available information tillSince new buildings are always under construction, go on-line to check new taller buildings.

Use the information given in the table about skyscrapers to answer the following questions:
 Name      City    Height  Floors  Year 
Planet

    UB
 Tower

Ashok
Towers

  The 
Imperial
     I

   The 
Imperial 
     II

   RNA 
Mirage

Oberoi
Woods
Tower I

Oberoi
Woods
Tower II

Oberoi
Woods 
Tower III

MVRDC












   

   







   

 

  
























Make a table corresponding to the above graph:
1800402_9603bfab08a948fda18bacba9f1a540a.png



Draw frequency polygons for each of the following frequency distribution;
(a). Using histogram 
(b). Without using histogram
(i) 
$$C.I$$$$10-30$$$$30-50$$$$50-70$$$$70-90$$$$90-110$$$$110-130$$$$130-150$$
$$f$$$$4$$$$7$$$$5$$$$9$$$$5$$$$6$$$$4$$



Construct a combined histogram and frequency polygon for the following frequency distribution: 
Class-intervals$$10-20$$$$20-30$$$$30-40$$$$40-50$$$$50-60$$
Frequency $$3$$$$5$$$$6$$$$4$$$$2$$



The ages of $$40$$ students are given in the following table:
 Age (in yrs) 12 13 14 15 16 17 18
 Frequency 2 4 6 9 8 7 4



 C.I.$$0-5$$ $$5-10$$ $$10-15$$ $$15-20$$ $$20-25$$ 
 Frequency$$4$$ $$8$$ $$6$$ $$4$$ $$2$$ 
Draw the histogram and frequency polygon of the following distribution : 



Construct a frequency polygon with the help of histogram for the following frequency distribution. Maximum marks is $$10$$.

 Marks obtained $$2-4$$ $$4-6$$ $$4-6$$   $$6-8$$$$8-10$$  
 No. of students $$7$$ $$8$$ $$4$$ $$9$$ $$2$$ 



 S.No.Section Number of Girls per thousand Boys 
 1 Scheduled Caste (SC) 940
 2 Scheduled Tribe (ST) 970
 3 Non SC/ST 920
 4
 Backward districts 950
 5 Non-backward districts 920
 6 Rural 930
 7 Urban 910
The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below :
(i) Represent the information above by a bar graph.
(ii) In the class room, discuss what conclusions can be arrived from the graph.



Name the type of data which a university uses while finding out average of best four subjects out of five, from your marks sheet.



 Class Interval (C.I)$$0-5$$ $$5-10$$ $$10-15$$ $$15-20$$ $$20-25$$ $$25-30$$ $$30-35$$ 
 Frequency$$1$$ $$2$$ $$4$$ $$6$$ $$5$$ $$3$$ $$2$$ 
Construct a frequency polygon with the help of histogram for the following frequency distribution.



 Height (in cm)135 - 140 140 - 145 145 - 150 150 - 155 155 - 160 
 Frequency 8 20 12 11 9
Draw the histogram and frequency polygon of the following distribution : 



The following are marks obtained by a group of 40 class X students in an english examination:
42883775989373629680
52766654736983625379
69568175526549806759
88804471728791828979
Prepare a frequency distribution and a cumulative frequency distribution
for these data using a class interval of 5.



Change the following data into 'less than type' distribution and draw its ogive:
Clas Interval :$$30 - 40$$$$40 - 50$$$$50 - 60$$$$60 - 70$$$$70 - 80$$$$80 - 90$$$$90 - 100$$
Frequency :$$7$$$$5$$$$8$$$$10$$$$6$$$$6$$$$8$$



Draw less than ogive curve from the following data.

Marks

Students

0-10

5

10-20

12

20-30

20

30-40

11

40-50

9

50-60

7



Following data relate to the marks secured by students in their statistics paper. Graph these data in the form of less than ogive.

Marks

No. of Students

0-5

4

5-10

6

10-15

10

15-20

10

20-25

25

25-30

22

30-35

18

35-40

5



Present the data in the form of a simple bar diagram.
Year1970198019902000
Production of Wheat (million tonnes)100210350500



Explain the necessity and usefulness of diagrammatic presentation of data.



In the following table, data of the transport means used by students $$8th$$ standard for commutation between home and school is give. Draw a subdivided bar diagrame to show the data.
1185684_9ac0e07c66b4406e8cea79e7e4fb2fb4.png



The final marks in mathematics of 30 students are as follows:
$$53,61,48,60,78,68,55,100,67,90$$
$$75,88,77,37,84,58,60,48,62,56$$
$$44,58,52,64,98,59,70,39,50,60$$
If 40 is the pass mark how many have failed?



Read the bar graph shown in Fig. and answer the following questions: What was the number of commercial banks in 1977? 

1675469_709cee71dbf84da7b43ca72c28c936de.png



Study the bar graph representing the number of persons in various age groups in a town shown in Fig. Observe the bar graph and answer the following questions:
What  is the total number of persons living in the town in the age-groups 10-15 and 60-65?

1675436_a5bd68b151c848aeb0d45a04e64653d4.png



Draw less than type cumulative frequency (O give) curve for the above data.
Daily Income (in rupee)250-300300-350350-400400-450450-500
Number of workers141610812



The weights of new born babies (in kg) in a hospital on a particular day are as follows:
$$2.3,2.2,2.1,2.7,2.6,3.0,2.5,2.9,2.8,3.1,2.5,2.8,2.7,2.9,2.4$$
How many babies weigh 2.8 kg?



In a mathematics test following marks were obtained by 40 students of class VI. Arrange these marks in a table using, tally marks.
8     1     3     7     6     5     5     4     4     2
4     9     5     3     7     1     6     5     2     7
7     3     8     4     2     8     9     5     8     6
7     4     5     6     9     6     4     4     6     6
Find how many students obtained marks equal to or more than 7?



The runs scored by a cricket team in first 15 overs are given below:
Overs:$$I$$$$II$$$$III$$$$IV$$$$V$$$$VI$$$$VII$$$$VIII$$$$IX$$$$X$$$$XI$$$$XII$$$$XIII$$$$XIV$$$$XV$$
Runs:$$2$$$$1$$$$4$$$$2$$$$6$$$$8$$$$10$$$$21$$$$5$$$$8$$$$3$$$$2$$$$6$$$$8$$$$12$$
Draw the graph representing the above data in two different ways as a graph and as a bar chart:



The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:
Number of persons:$$2$$$$4$$$$6$$$$8$$
Time taken(in days):$$12$$$$6$$$$4$$$$3$$
Plot a graph of this information:



Read the bar graph shown in Fig. and answer the following questions: What is the ratio of the number of commercial banks in 1969 to that in 1980?

1675479_d7aec7cd66d14ef4b5e1c65ebe65c87d.png



Given below (Fig.) is the bar graph indicating the marks obtained out of 50 in mathematics paper by 100 students. Read the bar graph and answer the following question: 
What is the number of students belonging to the highest mark group?
1675538_c57da9343b2d499c8b7eac7f12a7d48a.png



Read the following bar graph and answer the following questions:
Which state has the total production of wheat and rice minimum?
1675607_410a6dc6b6eb4779b6c38e895ec6df0d.png



Read the following bar graph and answer the following questions:
Which state has total production of rice and wheat as its  maximum?
1675604_7f0f293ec6af4239b629af116982ccca.png



Given below Fig. is the bar graph indicating the marks obtained out of $$50$$ in mathematics paper by $$100$$ students. Read the bar graph and answer the following question:
Every student belonging to the lowest mark-group has to solve $$5$$ problems per day. How many problems, in all, will be solved by the students of this group per day?
1675522_bc12fa568fc8499db7b4c8ef80678b4e.png



Given above Fig. is the bar graph indicating the marks obtained out of $$50$$ in mathematics paper by $$100$$ students. Read the bar graph and answer the following question:
Every student belonging to the highest mark group is entitled to get a prize of Rs. $$10.$$ How much amount of money is required for distributing the prize money?
1675515_ab8500a897244f4a91b0ca07ff46dce0.png



The following bar graph (Fig.) represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:
What percentage of the total number of students have their heights more than 149 cm?

1675616_497173f1378e4dda843716dbd21a41f1.png



Sonal and Amole made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.
Copy and complete the table
1795271_c02c493f54924e1ca1b6b8fda51d96bc.png



Sonal and Amole made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.
Do the points lie on line?



Class 11 Commerce Economics Extra Questions