Data Handling Test

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Data Handling Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

To draw a histogram to represent the following frequency distribution:
Class Interval
$$5-10$$
$$10-15$$
$$15-25$$
$$25-45$$
$$45-75$$
Frequency
$$6$$
$$12$$
$$10$$
$$8$$
$$15$$
The adjusted frequency for the class $$25-45$$ is:

A
$$6$$

B
$$5$$

C
$$3$$

D
$$2$$

Solution

The frequency distribution will consist of classes with an interval of $$5$$. The class $$25-45$$ includes four such classes with an interval of $$5$$. Thus the adjusted frequency will be $$\dfrac{8}{4}=2$$
Question 2
1 / -0

In the figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency distribution table and find the total number of workers.

A
$$145$$

B
$$142$$

C
$$148$$

D
$$146$$

Solution

Frequency Distribution table for Daily wages & Number of workers is:

Class Interval Frequency
$$150-200$$ $$50$$
$$200-250$$ $$30$$
$$250-300$$ $$35$$
$$300-350$$ $$20$$
$$350-400$$ $$10$$
Total Workers $$145$$

Hence, the total number of workers is $$145$$.
Thus, option $$A$$ is correct.
Question 3
1 / -0

According to above histogram, which group has the maximum number of workers?

A
$$810$$

B
$$820$$

C
$$830$$

D
$$840$$

Solution

From the given histogram,
$$800-810$$ rupees was given to $$3$$ workers,
$$810-820$$ rupees was given to $$2$$ workers,
$$820-830$$ rupees was given to $$1$$ workers,
$$830-840$$ rupees was given to $$9$$ workers,
$$840-850$$ rupees was given to $$5$$ workers,
$$850-860$$ rupees was given to $$1$$ workers,
$$860-870$$ rupees was given to $$3$$ workers,
$$870-880$$ rupees was given to $$1$$ workers,
$$880-890$$ rupees was given to $$1$$ workers,
$$890-900$$ rupees was given to $$4$$ workers.

Hence, $$830-840$$ rupees was given to maximum number of workers, i.e. $$9$$.

Therefore, $$830$$ group has the maximum number of workers.
Thus, option $$C$$ is correct.
Question 4
1 / -0

Directions For Questions

...view full instructions

How many students watched TV for less than 4 hours?

A
$$34$$

B
$$32$$

C
$$24$$

D
$$30$$

Solution

From the given diagram, we have
$$4$$ students watch television for $$1-2$$ hours
$$8$$ students watch television for $$2 - 3$$ hours
$$22$$ students watch television for $$3-4$$ hours
Thus, in total $$4+8+22 = 34$$ students watch television for less than $$4$$ hours
Question 5
1 / -0

According to above histogram, how many workers earn less than $$Rs. 850$$?

A
$$30$$

B
$$20$$

C
$$10$$

D
$$40$$

Solution

From the given histogram,
$$800-810$$ rupees was given to $$3$$ workers,
$$810-820$$ rupees was given to $$2$$ workers,
$$820-830$$ rupees was given to $$1$$ workers.
$$830-840$$ rupees was given to $$9$$ workers,
$$840-850$$ rupees was given to $$5$$ workers,
$$850-860$$ rupees was given to $$1$$ workers,
$$860-870$$ rupees was given to $$3$$ workers.
$$870-880$$ rupees was given to $$1$$ workers,
$$880-890$$ rupees was given to $$1$$ workers,
$$890-900$$ rupees was given to $$4$$ workers.

Then, the number of workers who earn less than rupees $$850$$
$$=n(800)+n(810)+n(820)+n(830)+n(840)$$
$$=3+2+1+9+5=20$$.

Hence, option $$B$$ is correct.

Question 6

1 / -0

Directions For Questions

...view full instructions

The number of hours for which students of a particular class watched television during holidays are shown through the given graph.

For how many hours did the maximum number of students watch TV?

$$5-6$$

$$3-4$$

$$4-5$$

$$2-3$$

Solution

Class Interval	Frequency
No. of hours	No. of Students
$$1 -2$$	$$4$$
$$2 - 3$$	$$8$$
$$3 - 4$$	$$22$$
$$4 - 5$$	$$32$$
$$5 - 6$$	$$8$$
$$6 - 7$$	$$6$$
Total-	$$80$$

The highest frequency is $$32$$, and the corresponding class interval is $$4-5$$

Hence, maximum number of students watched TV for $$4-5$$ hours,

Question 7
1 / -0

Which class-interval has the minimum frequency ?

A
$$20-30$$

B
$$40-50$$

C
$$50-60$$

D
$$10-20$$

Solution

We will form a table from the above histogram:
Class Interval Frequency
$$0-10$$ $$15$$
$$10-20$$ $$10$$
$$20-30$$ $$20$$
$$30-40$$ $$25$$
$$40-50$$ $$10$$
$$50-60$$ $$5$$
$$\Rightarrow$$ From above table table we can see, $$50-60$$ has frequency $$5$$ which is minimum.
$$\therefore$$ The class-interval that has the minimum frequency is $$50-60$$
Question 8
1 / -0

Refer the pie chart and answer.
To show the distribution of proteins and other dry elements in the human body, the arc of the circle should subtend at the center an angle of:

A
$$120^o$$

B
$$54^o$$

C
$$108^o$$

D
$$252^o$$

Solution

Percentage of proteins and other dry elements in the body is ($$16\% + 14\%) $$ which is equal to $$ 30\%$$

$$\therefore$$ Central angle corresponding to proteins and other dry elements together $$=30\% \ of \ 360^\circ$$
$$\Rightarrow \dfrac{30}{100} \times 360$$
$$=108^\circ$$
Question 9
1 / -0

Answer the following question by reading the given pictograph.
Number of TV sets sold in the year 2005 is

A
$$1000$$

B
$$500$$

C
$$50$$

D
$$2000$$

Solution

From the given pictograph, $$2005$$ has one tv symbol.
Given that one symbol represents $$500$$ tv sets.
Therefore the $$2005$$ has $$1\times500=500$$ tv sets.
Question 10
1 / -0

After the reading the pictograph,find the number of TV sets sold in the year $$1990$$ is

A
$$1000$$

B
$$1500$$

C
$$1250$$

D
$$2000$$

Solution

Given that each TV symbol represents $$500$$ TV sets.
In the given pictograph, $$1990$$ year has $$2$$ TV symbols.
Therefore, number of TV sets sold in the year $$1990$$ are $$2\times500=1000$$

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Re-Attempt Weekly Quiz Competition

Class Interval	$$5-10$$	$$10-15$$	$$15-25$$	$$25-45$$	$$45-75$$
Frequency	$$6$$	$$12$$	$$10$$	$$8$$	$$15$$

Frequency Distribution table for Daily wages & Number of workers is:
Class Interval	Frequency
$$150-200$$	$$50$$
$$200-250$$	$$30$$
$$250-300$$	$$35$$
$$300-350$$	$$20$$
$$350-400$$	$$10$$
Total Workers	$$145$$

Class Interval	Frequency
$$0-10$$	$$15$$
$$10-20$$	$$10$$
$$20-30$$	$$20$$
$$30-40$$	$$25$$
$$40-50$$	$$10$$
$$50-60$$	$$5$$

Data Handling Test - 26

Result

Data Handling Test - 26

Score

-

Rank

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SHARING IS CARING

Question 1

$$6$$

$$5$$

$$3$$

$$2$$

Solution

Question 2

$$145$$

$$142$$

$$148$$

$$146$$

Solution

Question 3

$$810$$

$$820$$

$$830$$

$$840$$

Solution

Question 4

$$34$$

$$32$$

$$24$$

$$30$$

Solution

Question 5

$$30$$

$$20$$

$$10$$

$$40$$

Solution

Question 6

$$5-6$$

$$3-4$$

$$4-5$$

$$2-3$$

Solution

Question 7

$$20-30$$

$$40-50$$

$$50-60$$

$$10-20$$

Solution

Question 8

$$120^o$$

$$54^o$$

$$108^o$$

$$252^o$$

Solution

Question 9

$$1000$$

$$500$$

$$50$$

$$2000$$

Solution

Question 10

$$1000$$

$$1500$$

$$1250$$

$$2000$$

Solution

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