Data Handling Test

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Data Handling Test - 31

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Weekly Quiz Competition

Question 1
1 / -0

Total number of students in all are:

A
$$180$$

B
$$150$$

C
$$9$$

D
$$30$$

Solution

From the histogram:
Height (in cm) No. of students
$$150-155 $$ $$5 $$
$$155-160$$ $$1$$
$$160-165$$ $$ 5$$
$$ 165-170$$ $$5$$
$$ 170-175$$ $$ 9$$
$$ 175-180$$ $$5$$
Total no. of students $$=n(150)+n(155)+n(160)+n(165)+n(170)+n(175)$$
$$=5+1+5+5+9+5$$ $$=30$$.

Therefore, there are $$30$$ students in total.
Hence, option $$D$$ is correct.
Question 2
1 / -0

What is the minimum height possible of the tallest student?

A
$$170$$

B
$$175$$

C
$$180$$

D
$$165$$

Solution

From the histogram:
Height (in cm) No. of students
$$150-155 $$ $$5 $$
$$155-160$$ $$1$$
$$160-165$$ $$ 5$$
$$ 165-170$$ $$5$$
$$ 170-175$$ $$ 9$$
$$ 175-180$$ $$5$$
The minimum height of the tallest student belongs to class interval $$175-180.$$
Thus, the minimum height possible is $$175$$ [$$\because$$ In class $$175-180, 175$$ is lower limit and can be included in class $$175-180$$].

Hence, option $$B$$ is correct.
Question 3
1 / -0

The number of votes received in the election of class monitor are
Mona $$-$$ $$6$$ votes,
Payal $$-$$ $$10$$ votes,
Prashant $$-$$ $$2$$ votes,
Sona $$-$$ $$20$$ votes,
Rajen $$-$$ $$15$$ votes,
Meera $$-$$ $$4$$ votes,
Subhash $$-$$ $$3$$ votes
In a circle graph the central angle corresponding to the votes of Sona, Mona, Meera and Subhash are

A
$$120^\circ, 36^\circ, 24^\circ, 18^\circ$$

B
$$38^\circ, 115^\circ, 25^\circ, 20^\circ$$

C
$$50^\circ, 30^\circ, 130^\circ, 30^\circ$$

D
$$72^\circ, 36^\circ, 48^\circ, 150^\circ$$

Solution

Total no of votes $$= 6 + 10 +2 + 20 + 15 + 4 + 3 = 60$$
Central angles corresponding to the various votes
Mona $$=\cfrac{6\times 360^o}{60}=36^\circ$$
Payal $$=\cfrac{10\times 360^o}{60}=60^\circ$$
Prashant $$=\cfrac{2\times 360^o}{60}=12^\circ$$
Rajen $$=\cfrac{15\times 360^o}{60}=90^\circ$$
Subhash $$=\cfrac{3\times 360^o}{60}=18^\circ$$
Sona $$=\cfrac{20\times 360^o}{60}=120^\circ$$
Meera $$=\cfrac{4\times 360^o}{60}=24^\circ$$
Question 4
1 / -0

Directions For Questions

900 men volunteered for joining the armed force. study the pie-graph and answer the following

...view full instructions

What percentage of men volunteered to join navy force?

A
25%

B
21.97%

C
16.67%

D
49%

Solution

Percentage of men volunteered to join navy force $$=\frac{60}{360}\times 100 = 16.67\%$$
Question 5
1 / -0

Which of the following are equally likely outcomes?

A
Tossing a coin getting head or tail

B
While throwing a die getting any one of $$6$$ numbers

C
Both A and B

D
None of these

Solution

A) A coin is tossed. The probability of head or tail is $$\cfrac{1}{2}$$.
B) A die is thrown. The probability of any one of $$6$$ numbers is $$\cfrac{1}{6}$$
Question 6
1 / -0

The number of students in a hostel, speaking hindi is $$40$$, bengali is $$25$$ and english $$35$$. If it is represented in pie chart central angle corresponding to hindi is _____

A
$$152^\circ$$

B
$$72^\circ$$

C
$$40^\circ$$

D
$$144^\circ$$

Solution

Central angle $$=\dfrac{40}{40+25+35}\times 360^\circ=\dfrac{40}{100} \times 360^\circ = 144^\circ$$
Question 7
1 / -0

Directions For Questions

900 men volunteered for joining the armed force. study the pie-graph and answer the following

...view full instructions

How many men volunteered for air force?

A
375

B
250

C
150

D
125

Solution

No of men joining air force $$=\dfrac{100}{360}\times 900 = 250$$
Question 8
1 / -0

How many students are over $$170\:cm$$ tall?

A
$$14$$

B
$$9$$

C
$$5$$

D
$$10$$

Solution

From the histogram:
Height (in cm) No. of students
$$150-155 $$ $$5 $$
$$155-160$$ $$1$$
$$160-165$$ $$ 5$$
$$ 165-170$$ $$5$$
$$ 170-175$$ $$ 9$$
$$ 175-180$$ $$5$$
Then, number of students whose height is over $$170 cm$$
$$=n(170)+n(175)$$
$$=9+5$$
$$=14$$.

Hence, $$14$$ students are over $$170 cm$$ tall.
Therefore, option $$A$$ is correct.
Question 9
1 / -0

The histogram shows that the level of diabetic (in mg per dl) of $$105$$ children. How many children have a level of diabetic between $$60-80$$?

A
$$20$$

B
$$15$$

C
$$25$$

D
$$35$$

Solution

By referring the histogram, number of students with diabetic level:
$$20-40$$ is $$5$$ students
$$40-60$$ is $$20$$ students
$$60-80$$ is $$35$$ students
$$80-100$$ is $$15$$ students
$$100-120$$ is $$10$$ students
$$120-140$$ is $$20$$ students.

Therefore, $$35$$ children have a level of diabetic between $$60-80$$.

Hence, option $$D$$ is correct.
Question 10
1 / -0

Directions For Questions

Mr. Daniel surveyed his employees on the time it takes them to get to work. The result are shown in the histogram.

...view full instructions

How many employees get to work in more than $$100$$ minutes?

A
$$20$$

B
$$15$$

C
$$4$$

D
$$58$$

Solution

From the histogram, we can observe the class width of:
$$100-120$$ minutes $$= 4$$ employees.
Therefore, number of employees get into work in more than $$100$$ minutes $$= 4$$.
So, $$4$$ employees get into work more than $$100$$ minutes.

Hence, option $$C$$ is correct.

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Re-Attempt Weekly Quiz Competition

Height (in cm)	No. of students
$$150-155 $$	$$5 $$
$$155-160$$	$$1$$
$$160-165$$	$$ 5$$
$$ 165-170$$	$$5$$
$$ 170-175$$	$$ 9$$
$$ 175-180$$	$$5$$

Data Handling Test - 31

Result

Data Handling Test - 31

Score

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Rank

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SHARING IS CARING

Question 1

$$180$$

$$150$$

$$9$$

$$30$$

Solution

Question 2

$$170$$

$$175$$

$$180$$

$$165$$

Solution

Question 3

$$120^\circ, 36^\circ, 24^\circ, 18^\circ$$

$$38^\circ, 115^\circ, 25^\circ, 20^\circ$$

$$50^\circ, 30^\circ, 130^\circ, 30^\circ$$

$$72^\circ, 36^\circ, 48^\circ, 150^\circ$$

Solution

Question 4

25%

21.97%

16.67%

49%

Solution

Question 5

Tossing a coin getting head or tail

While throwing a die getting any one of $$6$$ numbers

Both A and B

None of these

Solution

Question 6

$$152^\circ$$

$$72^\circ$$

$$40^\circ$$

$$144^\circ$$

Solution

Question 7

375

250

150

125

Solution

Question 8

$$14$$

$$9$$

$$5$$

$$10$$

Solution

Question 9

$$20$$

$$15$$

$$25$$

$$35$$

Solution

Question 10

$$20$$

$$15$$

$$4$$

$$58$$

Solution

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