Descriptive Statistics Test 19

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Descriptive Statistics Test 19

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Weekly Quiz Competition

Question 1
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If the sum of squares of deviations of $$15$$ observations from their mean $$20$$ is $$240$$, then what is the value of coefficient of variation (CV)?

A
$$20$$

B
$$21$$

C
$$22.36$$

D
$$24.70$$

Solution

$$CV =\dfrac{sd}{mean} \times 100$$

Standard deviation $$sd = \sqrt {\dfrac{240}{15}}=\sqrt {16} = 4$$

Mean $$= 20$$

$$CV = \dfrac{4}{20} \times 100 = 0.2 \times 100 = 20$$

Coefficient of variation $$= 20$$
Question 2
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Data was collected on a student's typing rate and graph was drawn as shown below. Approximately how many words had this student typed in $$30$$ seconds?

A
$$20$$

B
$$24$$

C
$$28$$

D
$$34$$

Solution

The correct answer is option (c). approximately $$28$$ words were typed in $$30$$ seconds.
Question 3
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A graph that displays data that changes continuously over periods of time is

A
Bar graph

B
pie chart

C
Histogram

D
Line graph

Solution

The correct answer is option (d). Line graph is a way to compare and represent the data. It displays the relation among two varying quantities.
Question 4
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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 matches did South Africa play?

A
$$16$$

B
$$18$$

C
$$20$$

D
$$24$$

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 $$24$$
Clearly, the number of matches played by South Africa is $$18$$.
Hence, option $$B$$ is correct.
Question 5
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Observe the following pictograph which shows the number of ice cream cones sold by school canteen during a week. Chose the correct answer from the given options:
The maximum number of ice cream cones were sold on:

A
Tuesday

B
Friday

C
Wednesday

D
Thursday

Solution

After observing the pictograph, we can say that

Monday = 2 x 5 = 10 ice creams
Tuesday = 2 x 8 = 16 ice creams
Wednesday = 2 x 6 = 12 ice creams
Thursday = 2 x 3 + 1 = 7 ice creams
Friday = 2 x 7 = 14 ice creams
Saturday = 2 x 4 = 8 ice creams

Hence, the maximum number of ice cream were sold on Tuesday i.e. 16 ice cream.
So, Option ( A ) is the correct answer.
Question 6
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Observe the following pictograph which shows the number of ice cream cones sold by school canteen during a week. Chose the correct answer from the given options:
The minimum number of ice cream cones were sold on:

A
Monday

B
Saturday

C
Tuesday

D
Thursday

Solution

After observing the pictograph, we can say that

Monday $$= 2\times 5 = 10$$ ice creams
Tuesday $$= 2\times 8 = 16$$ ice creams
Wednesday $$= 2\times 6 = 12$$ ice creams
Thursday $$= 2\times 3 + 1 = 7$$ ice creams
Friday $$= 2\times 7 = 14$$ ice creams
Saturday $$= 2\times 4 = 8$$ ice creams

Hence, the minimum number of ice cream were sold on Thursday i.e. $$7$$ ice cream.
So, Option ( D ) is the correct answer.
Question 7
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The frequency distribution has been represented graphically as follows:
marks
$$0-20$$
$$20-40$$
$$40-60$$
$$60-100$$
No of students
$$10$$
$$15$$
$$20$$
$$25$$
Do you think this representation is correct or incorrect?

A
Correct

B
Incorrect

C
Ambiguous

D
Data insufficient

Solution

From the graph, $$10$$ students got $$0-20$$ marks .
$$15$$ students got $$20-40$$ marks.
$$20$$ students got $$40-60$$ marks and
$$25$$ students got $$60-100$$ marks.
The same is shown in the frequency distribution table.
Question 8
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Directions For Questions

The following graph shows the temperature of a patient in a hospital, recorded every hour.

...view full instructions

During which periods did the patient's temperature showed an upward trend?

A
9 a.m. to 10 a.m., 10 a.m. to 11 a.m., 2 p.m. to 3 p.m.

B
9 a.m. to 10 a.m., 10.30 a.m. to 11.30 a.m., 2 p.m. to 3 p.m.

C
9 a.m. to 10 a.m., 10 a.m. to 11.30 a.m., 1 p.m. to 2 p.m.

D
9 a.m. to 10 a.m., 10 a.m. to 11 a.m., 1 p.m. to 2 p.m.

Solution

Whenever there is an increase in the value of $$y - axis$$ as the time(on $$x - axis$$) passes by, there is an upward trend.
Thus, the patient shows an upward trend between $$9 am - 10 am$$, $$10 am - 11 am$$ and $$2 pm - 3 pm$$
Hence, option A is correct.
Question 9
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Directions For Questions

The following graph shows the temperature of a patient in a hospital, recorded every hour.

...view full instructions

When was the patients temperature $$38.5$$ C?

A
$$9$$

B
$$10$$

C
$$11$$

D
$$12$$

Solution

From the given graph, we can observe that the patient temperature $$38.5^0C$$ was at $$12$$ noon
Question 10
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Directions For Questions

Draw the graphs for the following tables of values, with suitable scales on the axes.
Interest on deposits for a year is given in the following table:
Deposit (in Rs) $$1000$$
$$2000$$
$$3000$$
$$4000$$
$$5000$$
Simple Interest (in Rs)
$$80$$
$$160$$
$$240$$
$$320$$
$$400$$

...view full instructions

To get an interest of Rs $$280$$ per year, how much money should be deposited?

A
$$2500$$

B
$$3000$$

C
$$3500$$

D
$$400$$

Solution

From the above graph, we can notice that, to get an interest of $$280$$ rupees per year, the money to be deposited is $$3500$$ rupees (approximately).