Data Handling Test

Result

Data Handling Test - 19

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Weekly Quiz Competition

Question 1
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Directions For Questions

$$70$$ number of student's heights are measured in cm as shown in the histogram.

...view full instructions

How many students have heights between $$180 - 200$$?

A
$$10$$

B
$$24$$

C
$$15$$

D
$$7$$

Solution

From the histogram, the class width of number of students:
$$120 - 140$$ is $$4$$
$$140 - 160$$ is $$10$$
$$160 - 180$$ is $$24$$
$$180 - 200$$ is $$10$$
$$200 - 220$$ is $$15$$
$$220 - 240$$ is $$7$$.

Therefore, $$10$$ is the number of student's height between the interval $$180-200$$.

Hence, option $$A$$ is correct.
Question 2
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The result of a single trial of an experiment is called

A
Event

B
Outcomes

C
Probability

D
None of these
Solution
Any particular performance of a random experiment is called a trial and each trial results in outcomes.
For example
Tossing a coin results in either Head or Tail
Throwing a die results in $$6$$ outcomes namely $$1,2,3,4,5$$ and $$6$$
Question 3
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Histogram are a great way to show results of _________.

A
categories

B
continuous data

C
both $$A$$ and $$B$$

D
None of these

Solution

We know, histogram is a graphical representation of data using bars with no gap in between, i.e. it shows continuous data.
Also, the height of the bar shows the frequency of the class-interval.

Hence, option $$B$$ is correct.
Question 4
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Find the total number of outcomes when a die is thrown.

A
$$6$$

B
$$36$$

C
$$12$$

D
None of these

Solution

When a die is thrown total outcomes: $$6$$
Possible outcome $$=S=\{1,2,3,4,5,6\}$$
Question 5
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12 24 36 48 60 72
24 48 60 72 50 30
50 45 50 75 50 34
The number of students in a quiz competition scores are in the table. How many students scored $$50$$ marks?

A
$$4$$

B
$$5$$

C
$$8$$

D
$$3$$

Solution

Scores Frequency
12 1
24 2
30 1
34 1
36 1
45 1
48 2
50 4
60 2
72 2
75 1
So, there are $$4$$ students scored $$50$$ marks.
Question 6
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Directions For Questions

The number of ducks at each pond in the Mumbai city is shown in the histogram.

...view full instructions

How many ponds had $$20-39$$ ducks?

A
$$25$$

B
$$30$$

C
$$20$$

D
$$15$$

Solution

From the histogram, the class width of number of ducks:
$$0 - 19 = 30$$ number of ponds.
$$20 - 39 = 20$$ number of ponds.
$$40 - 59 = 25$$ number of ponds.
$$60 - 79 = 10$$ number of ponds.
$$80 - 99 = 20$$ number of ponds.
$$100 - 119 = 15$$ number of ponds.

Therefore, $$20$$ ponds had $$20-39$$ number of ducks.

Hence, option $$C$$ is correct.
Question 7
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Directions For Questions

Johnson's pickle factory exports bottles of pickle. The pictograph shows the number of bottles exported each day. Use the information from the graph to answer the questions.
($$1$$ pickle jar $$= 500$$)

...view full instructions

Which of the two days did they export more bottles of pickles?

A
Monday and Wednesday

B
Thursday and Friday

C
Monday and Thursday

D
Tuesday and Friday

Solution

From the pictograph, they export $$8$$ bottles on Monday, $$5$$ on Tuesday, $$3$$ on Wednesday, $$8$$ on Thursday and $$6$$ on Friday.
So, Monday and Thursday are the two days when they export more bottles of pickles.
Question 8
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The annual maintenance cost of a machine in a factory over a seven years period is represented in the histogram.
In which year the maintenance is very low?

A
$$1995-1996$$

B
$$1996-1997$$

C
$$1997-1998$$

D
$$1998-1999$$

Solution

From the histogram, the maintenance cost in the year:
$$1995-1996$$ is Rs. $$2000$$
$$1996-1997$$ is Rs. $$3000$$
$$1997-1998$$ is Rs. $$1500$$
$$1998-1999$$ is Rs. $$2500$$
$$1999-2000$$ is Rs. $$4850$$
$$2000-2001$$ is Rs. $$5000$$
$$2001-2002$$ is Rs. $$7200$$.

Then clearly, the maintenance is very low in the year $$1997-1998$$.

Hence, option $$C$$ is correct.
Question 9
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Directions For Questions

The histogram represents the number of children entering into a library between different times in a day.

...view full instructions

In which hour interval, the children are $$55$$?

A
$$0-10$$

B
$$10-20$$

C
$$20-30$$

D
$$30-40$$

Solution

From the histogram,
The number of children entered during $$0-10$$ hours $$= 45$$
The number of children entered during $$10-20$$ hours $$= 55$$
The number of children entered during $$20-30$$ hours $$= 15$$
The number of children entered during $$30-40$$ hours $$= 25$$
The number of children entered during $$40-50$$ hours $$= 85$$
The number of children entered during $$50-60$$ hours $$= 10$$.

Therefore, $$55$$ children entered into the library between the interval $$10-20$$.

Hence, option $$B$$ is correct.
Question 10
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Directions For Questions

Judah recorded the number of football tickets collected by his friends, on the histogram.

...view full instructions

Which is the lowest ticket collected by Judah?

A
$$5$$

B
$$11-13$$

C
$$14-16$$

D
$$10$$

Solution

The lowest height of the bar represents the lowest ticket collected by Judah i.e. $$5$$.
Hence, the answer is $$5$$.