Presentation of Data Test

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Presentation of Data Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

The class marks of a frequency distribution are given as follow 15,20,25,...
The class corresponding to the class mark 20 is

A
$$12.5-17.5$$

B
$$17.5-22.5$$

C
$$18.5-21.5$$

D
$$19.5-20.5$$

Solution

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 $$17.5-22.5.$$
Question 2
1 / -0

Class mark of a particular class is 6.5 and class size is 3 then class interval is:

A
$$5-8$$

B
$$6.5-9.5$$

C
$$3.5-6.5$$

D
$$4-7$$

Solution

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= $$5-8$$
Question 3
1 / -0

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?

A
$$\displaystyle 167^{\circ}$$

B
$$\displaystyle 97^{\circ}$$

C
$$\displaystyle 67^{\circ}$$

D
$$\displaystyle 18^{\circ}$$

Solution

Ocean Area
Pacific $$70.8$$
Atlantic $$41.2$$
Indian $$28.5$$
Antartic $$7.6$$
Artic $$4.8$$
$$152.9$$
Pacific=$$\cfrac { 70.8 }{ 152.9 } \times 360=166.697\\ \approx 167°\\ $$
Question 4
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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?

A
Dealer A sold 40 Maruti cars less than dealer B

B
Dealer B sold 50 Maruti cars more than dealer C

C
Dealer B sold the most number of Benz cars

D
The total number of Benz cars by dealers Band C is 15

Solution

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.
Question 5
1 / -0

On joining the points if we get a straight line, that graph is called.

A
Bar graph

B
Pie chart

C
Line graph

D
None of these

Solution

A chart which displays information as a series of data points connected by straight line is known as line graph.
Question 6
1 / -0

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

A
$$40^{\circ}$$

B
$$72^{\circ}$$

C
$$108^{\circ}$$

D
$$158.82^{\circ}$$

Solution

Total number of cups $$=60+75+25+10$$
$$=170$$

Number of tea cups $$=75$$

Sector in a pie chart representing Tea $$=\dfrac{75}{170}\times360$$
$$=158.82^o$$
Question 7
1 / -0

The line graph shows the monthly expenditure of Vasu family. The total expenditure over the first $$3$$ months is

A
$$Rs. 320$$

B
$$Rs. 600$$

C
$$Rs. 1100$$

D
$$Rs. 1400$$

Solution

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 $$=Rs.(500+600+300)$$

$$=Rs.1400$$
Question 8
1 / -0

The given line graph shows the growth rate of a kitten During which $$2$$ month period the kittens weight increased the most

A
$$0$$ to $$2$$ months

B
$$2$$ to $$4$$ months

C
$$4$$ to $$6$$ months

D
$$6$$ to $$8$$ months

Solution

The line graph shown is steepest from the period of $$2$$ months to $$4$$ months showing that the growth is maximum
Question 9
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Directions For Questions

The following bar chart represents the list of richest country in the world by GDP during $$2009$$ and $$2010$$. All figures are in trillion.

...view full instructions

Which of the countries listed below accounts for the maximum GDP during the year $$2009$$?

A
France

B
India

C
China

D
United kingdom

Solution

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.
Question 10
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$$20$$ out of $$40$$ people love eating chocolate, so eating chocolate in the pie chart will be represented by _____

A
a semi-circle

B
a quarter-circle

C
$$36^0$$ degree sector

D
None of these

Solution

$$\dfrac{20}{40}\times 360 = 180^0$$
semi-circular sector

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Ocean	Area (million $$\displaystyle km^{2}$$)
Pacific	$$70.8$$
Atlantic	$$41.2$$
Indian	$$28.5$$
Antarctic	$$7.6$$
Arctic	$$4.8$$

Beverage	Number of cups
Coffee	60
Tea	75
Hot chocolate	25
Milk	10

Presentation of Data Test - 9

Result

Presentation of Data Test - 9

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Question 1

$$12.5-17.5$$

$$17.5-22.5$$

$$18.5-21.5$$

$$19.5-20.5$$

Solution

Question 2

$$5-8$$

$$6.5-9.5$$

$$3.5-6.5$$

$$4-7$$

Solution

Question 3

$$\displaystyle 167^{\circ}$$

$$\displaystyle 97^{\circ}$$

$$\displaystyle 67^{\circ}$$

$$\displaystyle 18^{\circ}$$

Solution

Question 4

Dealer A sold 40 Maruti cars less than dealer B

Dealer B sold 50 Maruti cars more than dealer C

Dealer B sold the most number of Benz cars

The total number of Benz cars by dealers Band C is 15

Solution

Question 5

Bar graph

Pie chart

Line graph

None of these

Solution

Question 6

$$40^{\circ}$$

$$72^{\circ}$$

$$108^{\circ}$$

$$158.82^{\circ}$$

Solution

Question 7

$$Rs. 320$$

$$Rs. 600$$

$$Rs. 1100$$

$$Rs. 1400$$

Solution

Question 8

$$0$$ to $$2$$ months

$$2$$ to $$4$$ months

$$4$$ to $$6$$ months

$$6$$ to $$8$$ months

Solution

Question 9

France

India

China

United kingdom

Solution

Question 10

a semi-circle

a quarter-circle

$$36^0$$ degree sector

None of these

Solution

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