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CBSE Questions for Class 11 Commerce Economics Presentation Of Data Quiz 1 - MCQExams.com
CBSE
Class 11 Commerce Economics
Presentation Of Data
Quiz 1
Year wise production of rice, wheat and maize for last ten years can be displayed by :
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Simple column chart
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Multiple column chart
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Broken column chart
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Sub-divided column chart
The data may be said to be classified ' quantitatively', when data relates to ___________________.
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time or period
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character or attributes
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place, area or region
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numerical values or magnitudes
Upto $$6$$ songs are totally made by how many music directors?
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$$20$$
0%
$$18$$
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$$10$$
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$$50$$
Explanation
$$6$$ songs made by total number of music directors $$= 20 + 18 + 12 = 50$$
The purpose of classifying raw data is to ____________.
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bring order in them
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subject them to further statistical analysis easily
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both A and B
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none of the above
Explanation
The purpose of classifying raw data is to
bring order in them and
subject them to further statistical analysis easily.
How many students got more than $$70$$ marks?
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$$16$$
0%
$$8$$
0%
$$47$$
0%
$$18$$
Explanation
From the given frequency polygon, we get the students who got more than $$70$$ marks $$= 16 + 18 + 13 = 47$$.
Hence, option $$C$$ is correct.
In which age students do have the least number of mobile phones?
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$$11$$
0%
$$12$$
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$$13$$
0%
$$14$$
Explanation
$$12$$ years old students have the least number of mobile phones.
In the following frequency distribution the number of students whose age is less than $$20$$ years is :
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$$8$$
0%
$$16$$
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$$9$$
0%
$$17$$
Explanation
3+6+8=17
_____ represents data that changes continuously over period of time.
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Line graph
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Pie graph
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Bar graph
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Histogram
Explanation
The line graphs
shows a change in data over time. A line graph
is useful for displaying data or information that changes continuously over time. Another name for a line graph is a line chart.
Hence, option A is correct.
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in
$$2006$$?
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$$2$$
0%
$$4$$
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$$6$$
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$$8$$
Explanation
From the graph the value on $$y - axis$$ (denoting sales) for the year $$2006$$ is Rs $$8$$ crore
The following graph shows the temperature of a patient in a hospital, recorded every hour.
What was the temperature at 1.30 p.m.?
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$$34.5^{0}C$$
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$$37.5^{0}C$$
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$$36.5^{0}C$$
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$$33.5^{0}C$$
Explanation
The temperature at 1:30 PM will be $$36.5^oC$$; The point between 1 p.m. and 2 p.m. on the x-axis is equidistant from the two points showing 1 p.m. and 2 p.m., so it will represent 1.30 p.m. Similarly, the point on the y-axis, between $$36^oC$$ and $$37^oC$$ will represent $$36.5^oC.$$
The following line graph shows the yearly sales figures for a manufacturing company.
Compute the difference between the sales (in Rs. crores) in $$2002$$ and $$2006$$.
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$$4$$
0%
$$6$$
0%
$$7$$
0%
$$10$$
Explanation
From the graph the value on $$y $$ - axis (denoting sales) for the year $$2002$$ is Rs $$4$$ crore.
From the graph the value on $$y $$ - axis (denoting sales) for the year $$2006$$ is Rs $$8$$ crore.
Difference in sales $$= 8 - 4$$ = $$4$$ crore.
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in $$2002$$?
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$$2$$
0%
$$4$$
0%
$$6$$
0%
$$8$$
Explanation
As shown in the above graph, $$y$$ axis represents the sales(in crores) and $$x$$ axis represents the years.
So in the year $$2002$$ the sales were upto $$4$$ crore.
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales in
$$2005$$?
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$$4$$
0%
$$6$$
0%
$$7$$
0%
$$10$$
Explanation
From the graph the value on $$y - axis$$ (denoting sales) for the year $$2005$$ is Rs. $$10$$ crore
The patient's temperature was same for two times during the period given. These two times were:
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1 pm and 2 pm
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2 pm and 3 pm
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12 noon and 3 pm
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9 am and 10 pm
Explanation
From the graph the temperature curve is straight at 1 PM and at 2 PM.
This denotes that the temperature of the patient remained same from 1 PM to 2 PM
Hence, the answer is 1 pm and 2 pm.
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in
$$2003$$?
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$$6$$
0%
$$7$$
0%
$$8$$
0%
$$10$$
Explanation
From the graph the value on $$y - axis$$ (denoting sales) for the year $$2003$$ is Rs $$7$$ crore
Which of the following are types of graph which include bars?
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Bar graph
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Pie graph
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Histogram
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Line graph
Explanation
A bar graph is a graphical representation of data using bars of different heights.
Histogram is also a graphical representation of data using bars of different heights but it groups the numbers into ranges.
Hence, option A and C are correct.
Draw a graph for the following:
Side of square (in cm)
2
3
4
5
6
Area (in cm$$^2$$)
4
9
16
25
36
Is the graph linear?
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Yes
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No
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Cannot be determined
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None of these
Explanation
Plotting the given points on the graph, we get a graph as shown in the figure above.
As seen in the graph, the points do not lie on the same straight line.
Hence, the graph is not linear.
Simple tabulation gives information about several ___________ characteristics.
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independent
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dependent
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categorized
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None of these
Explanation
Characteristics has to be dependent to be tabulated.
Simple tabulation provide information about various dependent characteristics.
The class marks of a frequency distribution are given as follow 15,20,25,...
The class corresponding to the class mark 20 is
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$$12.5-17.5$$
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$$17.5-22.5$$
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$$18.5-21.5$$
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$$19.5-20.5$$
Explanation
Width=5
Class marks=20
$$\therefore Lower\ limit=20-\dfrac{5}{2}$$
$$\Rightarrow \dfrac{40-5}{2}=\dfrac{35}{2}=17.5$$
$$Upper\ limit=20+\dfrac{5}{2}$$
$$\Rightarrow \dfrac{40+5}{2}=\dfrac{45}{2}=22.5$$
Hence the class corresponding to the class mark 20 is $$17.5-22.5.$$
Class mark of a particular class is 6.5 and class size is 3 then class interval is:
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$$5-8$$
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$$6.5-9.5$$
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$$3.5-6.5$$
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$$4-7$$
Explanation
Let the a be the lower limit of the class interval
Class size of the class interval =3
$$\therefore$$ Upper limit of the class interval$$=a+3$$
Class mark=6.5
$$\therefore \dfrac{a+a+3}{2}=6.5$$
$$\Rightarrow 2a+3=6,5\times 2$$
$$\Rightarrow 2a=13-3$$
$$\Rightarrow 2a=10\Rightarrow a=\dfrac{10}{2}=5$$
$$\therefore a+3=5+3=8$$
Hence class interval= $$5-8$$
The following table gives the ares of the oceans of the world
Ocean
Area (million $$\displaystyle km^{2}$$)
Pacific
$$70.8$$
Atlantic
$$41.2$$
Indian
$$28.5$$
Antarctic
$$7.6$$
Arctic
$$4.8$$
A pie diagram of this data is to be drawn What is the angle which the sector representing Pacific Ocean subtends at the center?
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$$\displaystyle 167^{\circ}$$
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$$\displaystyle 97^{\circ}$$
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$$\displaystyle 67^{\circ}$$
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$$\displaystyle 18^{\circ}$$
Explanation
Ocean Area
Pacific $$70.8$$
Atlantic $$41.2$$
Indian $$28.5$$
Antartic $$7.6$$
Artic $$4.8$$
$$152.9$$
Pacific=$$\cfrac { 70.8 }{ 152.9 } \times 360=166.697\\ \approx 167°\\ $$
The bar chart shows the number of 'Maruti' and 'Benz' cars sold by three dealers, A, Band C. Which of the following
statements is true?
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Dealer A sold 40 Maruti cars less than dealer B
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Dealer B sold 50 Maruti cars more than dealer C
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Dealer B sold the most number of Benz cars
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The total number of Benz cars by dealers Band C is 15
Explanation
Let us investigate the options in relation to the given bar graph.
Option A$$\longrightarrow $$A sold 30 Maruti cars and dealer B sold 50 Maruti cars.
So the difference $$=50-30=20$$.
$$\therefore $$ Option A is false.
Option B$$\longrightarrow $$B sold 50 Maruti cars and dealer C sold 25 Maruti cars.
So the difference $$=50-25=25$$.
$$\therefore $$ Option B is false.
Option C$$\longrightarrow $$ B sold 5 Benz cars and dealers A &C sold 10 Benz cars each.
$$\therefore $$ Option C is false.
Option D$$\longrightarrow $$ B sold 5 & C sold 10 Benz cars.
So B & C sold total 15 Benz cars.
$$\therefore $$ Option D is correct.
Ans- Option D.
On joining the points if we get a straight line, that graph is called.
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Bar graph
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Pie chart
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Line graph
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None of these
Explanation
A chart which displays information as a series of data points connected by straight line is known as line grap
h.
The table shows the number of cups of four different beverages sold by a coffee shop on a certain day. The angle of sector in a pie chart representing tea is:
Beverage
Number of cups
Coffee
60
Tea
75
Hot chocolate
25
Milk
10
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$$40^{\circ}$$
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$$72^{\circ}$$
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$$108^{\circ}$$
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$$158.82^{\circ}$$
Explanation
Total number of cups $$=60+75+25+10$$
$$=170$$
Number of tea cups $$=75$$
Sector in a pie chart representing Tea $$=\dfrac{75}{170}\times360$$
$$=158.82^o$$
A _____ is the representation of data by using graphical symbols such as lines, bars, pie slices, histogram etc.
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flow chart
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diagram
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equation
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graph
Explanation
A graph is the representation of data by using graphical symbols such as lines, bars, pie slices, histogram etc.
Example: Line graph representing the temperature of $$8$$ days.
The line graph shows the monthly expenditure of Vasu family. The total expenditure over the first $$3$$ months is
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$$Rs. 320$$
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$$Rs. 600$$
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$$Rs. 1100$$
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$$Rs. 1400$$
Explanation
In the graph, 1 unit on y-axis $$=Rs.100$$
The monthly expenses of Basu family in the month of
In January, the expenditure is marked upto $$5$$ units $$=Rs.500$$
In February
, the expenditure is marked upto
$$6$$ units $$=Rs.600$$
In March
, the expenditure is marked upto
$$3$$ units $$=Rs.300$$
$$\therefore $$ The total expenditure over the first $$3$$ months
$$=Rs.(500+600+300)$$
$$=Rs.1400$$
The given line graph shows the growth rate of a kitten During which $$2$$ month period the kittens weight increased the most
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$$0$$ to $$2$$ months
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$$2$$ to $$4$$ months
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$$4$$ to $$6$$ months
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$$6$$ to $$8$$ months
Explanation
The line graph shown is steepest from the period of $$2$$ months to $$4$$ months showing that the growth is maximum
Which of the countries listed below accounts for the maximum GDP during the year $$2009$$?
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France
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India
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China
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United kingdom
Explanation
In the given bar chart, blue colour indicates the GDP during 2009 and red colour indicates the GDP during 2010.
From the graph, the maximum GDP during the year 2009 is observed in China with 30 trillion.
$$20$$ out of $$40$$ people love eating chocolate, so eating chocolate in the pie chart will be represented by _____
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a semi-circle
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a quarter-circle
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$$36^0$$ degree sector
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None of these
Explanation
$$\dfrac{20}{40}\times 360 = 180^0$$
semi-circular sector
How many people watch T.V. in Chennai
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$$10$$
0%
$$20$$
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$$30$$
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$$40$$
Explanation
Given that bar with lines in the people reading newspaper and the empty bar is the people watching TV.
From the given graph, for the city Chennai, we can observe that the height of the empty bar is $$40$$.
Therefore, Chennai has $$40$$ people who watch TV.
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