Data Handling Test

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Data Handling Test - 42

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Weekly Quiz Competition

Question 1

1 / -0

The following bar graph shows the number of persons killed in industrial accidents in country for some years.
Read the bar graph and choose the correct alternative in each of the following:
The year which shows the maximum decrease in the number of persons killed in industrial accidents over the preceding year is:

1996

1997

1998

1999

Solution

Let's draw a chart using the information from the above bar graph:

Year	Persons killed in industrial accidents	Persons killed in coal mines
$$1995$$	$$1600$$	$$300$$
$$1996$$	$$900$$	$$200$$
$$1997$$	$$1200$$	$$300$$
$$1998$$	$$1300$$	$$100$$
$$1999$$	$$900$$	$$100$$
$$2000$$	$$1300$$	$$100$$

Both the years, $$1996$$ and in $$1999$$ show a decrease in the amount of persons killed by industrial accidents.

$$\therefore$$ percentage decrease in the amount of death due to industrial accidents in the year $$1996\Rightarrow$$ from $$1600$$ to $$900$$.

$$\therefore$$ percentage decrease in the amount of death death due to industrial accidents in the year $$1999\Rightarrow$$ from $$1300$$ to $$900$$

So, $$\text{A}$$ is the correct option.

Question 2
1 / -0

A man's monthly salary is $$Rs. 24000$$ and his family expenses on travel are $$Rs.2500.$$ The central angle of the sector representing travel expenses in the pie chart would be

A
$$30^\circ$$

B
$$37 \, \dfrac12^\circ$$

C
$$45^\circ$$

D
$$60^\circ$$

Solution

We know that the monthly salary $$= Rs. 24000$$
Monthly expense on travel $$= Rs. 2500$$
By using the formula,
Central angle of component = ((value of the component ) / Total value) $$\times 360^\circ$$
$$= \left(\dfrac{2500}{24000}\right) \times 360^\circ$$
$$=37.5^\circ = 37 \,\dfrac12^\circ$$
Question 3
1 / -0

Which one of the following represents the number $$8$$:

A

B

C

D

Solution
Question 4
1 / -0

Data collection in a survey shows that $$ 40 % $$ of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is

A
$$ 120^o $$

B
$$ 150^o $$

C
$$ 144^o $$

D
$$ 40^ o $$

Solution

Given percentage of people buying the particular toothpaste brand $$=40 $$%
Th e central angle of the sector of pie chart representing the above information= $$ 40 $$ % of central angle.
As, central angle is $$ 360^o $$
$$ \therefore \dfrac{40}{100} \times 360^o $$
$$=144$$
Question 5
1 / -0

Students of a class voted for their favorite colour and a pie chart was prepared based on the data collected.
Observe the given pie chart and answer the question
Which of the following is a reasonable conclusion for the given data?

A
$$ \frac{1}{20}th $$ Student voted for blue colour.

B
Green is the least popular colour.

C
The number of students who voted for colour is two times the number of students who voted for yellow colour

D
Number of student liking together yellow and green colour is approximately the same as those for red colour.

Solution

Green and Yellow liked together by $$= 14+20$$ % = $$ 34 $$ % students, which is just about similar to votes for red colour that is $$ 35 $$ %.
Option D is correct answer.
Question 6
1 / -0

A coin is tossed two times. The number of possible outcomes is

A
$$ 1 $$

B
$$ 2 $$

C
$$ 3 $$

D
$$ 4 $$

Solution

Number of possible outcomes when the coin is tossed two times=
{HH,HT,TH,TT}= $$ 4 $$.
Question 7
1 / -0

The following pie chart gives the distribution of constituents in the human body. The central angle of the sector showing the distribution of protein and other constituents is

A
$$ 108^o $$

B
$$ 54^o $$

C
$$ 30^o $$

D
$$ 216^o $$

Solution

Protein = $$ 16\% $$ , other constituents = $$ 14 $$ %
Protein and other constituents= $$ 16 $$ % + $$ 14 $$ % = $$ 30 $$%
Central angle of sector = $$ \dfrac{30}{100}\times 360^o $$
Thus, central angle of sector showing distribution and other constituents= $$ 108^o $$.
Question 8
1 / -0

On tossing a coin, the outcome is

A
only head

B
only tail

C
neither head nor tail

D
either head or tail

Solution

We know that, a coin has two sides named heads and tails.
Therefore, when a coin is tossed only two possibilities of outcomes are obtained.
It is either head or tail.
Question 9
1 / -0

A geometric representation showing the relationship between a whole and its parts is a

A
Pie chart

B
Histogram

C
Bar graph

D
Pictograph

Solution

Pie chart shows relationship between a whole and its parts.
Question 10
1 / -0

Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries. Choose the correct answer from the given four options:
How many more matches were played by India than Pakistan?

A
$$6$$

B
$$12$$

C
$$24$$

D
$$30$$

Solution

The given bar graph represents the number of matches played by cricket teams of different country.
We can prepare frequency table from given bar graph as follows:
Country No. of matches
India $$30$$
Pakistan $$24$$
West Indies $$20$$
England $$28$$
South Africa $$18$$
Australia $$32$$
Sri Lanka $$24$$
Total number of students $$=176$$.
Then, the number of more matches played by India than Pakistan
$$=$$ Number of matches played by India $$-$$ Number of matches played by Pakistan
$$=30-24=6$$ matches.
That is, India played $$6$$ matches more than Pakistan.
Hence, option $$A$$ is correct.