Descriptive Statistics Test 16

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Descriptive Statistics Test 16

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Weekly Quiz Competition

Question 1
1 / -0

The given bar graph shows the number of matches played by different teams. Read the bar graph and answer the questions:
How many matches did both India and Bangladesh play?

A
$$34$$

B
$$22$$

C
$$38$$

D
$$40$$

Solution

From the bar graph,
The number of matches played by India $$=26$$.
The number of matches played by Bangladesh $$=8$$.

Therefore, the total number of matches played by both India and Bangladesh $$=26 + 8 = 34$$.

Thus, total number of matches played by both India and Bangladesh $$34$$.

Hence, option $$A$$ is correct.
Question 2
1 / -0

The line graph shows the amount of water used by Jamie from March to July. Express the amount of water used in June as a fraction of the total amount of water used.

A
$$\displaystyle \frac{3}{14}$$

B
$$\displaystyle \frac{1}{7}$$

C
$$\displaystyle \frac{2}{7}$$

D
$$\displaystyle \frac{3}{140}$$

Solution

Total amount of water used = $$20+15+30+40+35=140$$L
Amount of water used in june=$$40$$L
Amount of water used in June to the total amount of water=$$\dfrac{40}{140}=\dfrac{2}{7}$$
Question 3
1 / -0

If the standard deviation of $$0,1,2,3......,9$$ is $$K$$, then the standard deviation of $$10,11,12,13,........19$$ is

A
$$K$$

B
$$K+10$$

C
$$K+\sqrt { 10 } $$

D
$$10K$$

Solution

As the standard deviation only depend upon total no of values and the difference between mean and each value,
Both sequence have same standard deviation.
Note:
If $$1^{st}$$ sequence is $$x_i$$ and $$2^{nd}$$ sequence is $$y_i$$,
$$y_i=10+x_i\Rightarrow \overline y=10+\overline x$$
So, $$\overline y-y_i=\overline x-x_i$$

ie, Option A is correct answer.
Question 4
1 / -0

What temperature does the given thermometer shows?

A
$$35^{\circ}C$$

B
$$77^{\circ}F$$

C
$$95^{\circ}C$$

D
$$122^{\circ}F$$

Solution

Thermometer shows $$35^o C$$ or $$95^o F$$
Hence the correct answer is option A.
Question 5
1 / -0

The headings of the rows given in the first column of a table are called ________.

A
stubs

B
captions

C
sub titles

D
prefatory notes
Question 6
1 / -0

Directions For Questions

As median divides an arranged series into two equal parts, in similar way quartile divides an arranged series in $$4$$ equal parts. For ungrouped frequency distribution formula of finding $$i$$th quartile$$={ Q }_{ 1 }={ \left\{ i,\left( \cfrac { N+1 }{ 4 } \right) \right\} }^{ th }\quad $$ term $$i=1,2,3$$
Quartile deviation: half of difference between upper quartile and lower quartile
Quartile deviation$$\left( Q.D \right) =\cfrac { 1 }{ 2 } \left( { Q }_{ 3 }-{ Q }_{ 1 } \right) $$
Coefficient of quartile deviation$$=\cfrac { { Q }_{ 3 }-{ Q }_{ 1 } }{ { Q }+-{ Q }_{ 1 } } $$

...view full instructions

If $$1,2,3,4,5,6,7$$ are numbers then $${Q}_{1}$$ and $${Q}_{2}$$ are respectively

A
$$2,4$$

B
$$2.6$$

C
$$4,6$$

D
$$3,5$$

Solution

The given observations are,
$$1,2,3,4,5,6,7$$
Number of observations $$=7$$
$$Q_i=\left\{i.\left(\dfrac{N+1}{4}\right)\right\}^{th}term$$

$$Q_1=\left\{1.\left(\dfrac{7+1}{4}\right)\right\}^{th}term$$
$$Q_1=2^{nd}term$$
$$\therefore$$ $$Q_1=2$$

$$Q_2=\left\{2.\left(\dfrac{7+1}{4}\right)\right\}^{th}term$$
$$Q_2=4^{th}term$$
$$\therefore$$ $$Q_2=4$$
Question 7
1 / -0

If the median of the data $$6,7,x-2,x,18,21$$ written in ascending order is $$16$$, then the variance of the data is

A
$$30\dfrac{1}{5}$$

B
$$31\dfrac{1}{3}$$

C
$$32\dfrac{1}{2}$$

D
$$33\dfrac{1}{3}$$

Solution

The given observations are,
$$6,7,x-2,x,18,21$$
Number of observations $$(n)=6$$ [ even ]
$$\Rightarrow$$ $$Median=\dfrac{3^{rd}obs+4^{th}obs}{2}$$

$$\Rightarrow$$ $$16=\dfrac{x-2+x}{2}$$

$$\Rightarrow$$ $$32=x-2+x$$
$$\Rightarrow$$ $$32=2x-2$$
$$\Rightarrow$$ $$34=2x$$
$$\therefore$$ $$x=17$$
$$\therefore$$ The observations becomes,
$$6,7,15,17,18,21$$
$$\overline{x}=\dfrac{6+7+15+17+18+21}{6}=\dfrac{84}{6}=14$$

$$Variance(\sigma^2)=\dfrac{(6-14)^2+(7-14)^2+(15-14)^2+(17-14)^2+(18-14)^2+(21-14)^2}{6}$$

$$=\dfrac{(-8)^2+(-7)^2+(1)^2+(3)^2+(4)^2+(7)^2}{6}$$

$$=\dfrac{64+49+1+9+16+49}{6}$$

$$=\dfrac{188}{6}$$

$$=\dfrac{94}{3}$$

$$=31\dfrac{1}{3}$$
Question 8
1 / -0

When you are presenting a series of numbers in a business document, you should use a __________.

A
line graph

B
table

C
pie chart

D
bar chart
Solution
The process of classifying data into tabular form is called "Tabulation".
A table is a symmetric arrangement of data in rows and columns. Rows are horizontal arrangements and Columns are vertical arrangements.
Presentation of numerical data in a business document in the form of a table:
Makes complex data simple to understand.
It helps in comparing data.
It can be used as a source of reference for other data.
It gives a bird eye view of the document.
Question 9
1 / -0

Which of the following is not two-dimensional diagram?

A
Pie-chart

B
Multiple bar diagram

C
Rectangular diagram

D
Square diagram
Question 10
1 / -0

The following series is of the type of
Year Population in a particular city
1995 19,00,000
1996 19,20,000
1997 25,00,000
1998 25,50,000

A
individual series

B
geographical

C
discrete series

D
time series

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Year	Population in a particular city
1995	19,00,000
1996	19,20,000
1997	25,00,000
1998	25,50,000

Descriptive Statistics Test 16

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Descriptive Statistics Test 16

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SHARING IS CARING

Question 1

$$34$$

$$22$$

$$38$$

$$40$$

Solution

Question 2

$$\displaystyle \frac{3}{14}$$

$$\displaystyle \frac{1}{7}$$

$$\displaystyle \frac{2}{7}$$

$$\displaystyle \frac{3}{140}$$

Solution

Question 3

$$K$$

$$K+10$$

$$K+\sqrt { 10 } $$

$$10K$$

Solution

Question 4

$$35^{\circ}C$$

$$77^{\circ}F$$

$$95^{\circ}C$$

$$122^{\circ}F$$

Solution

Question 5

stubs

captions

sub titles

prefatory notes

Question 6

$$2,4$$

$$2.6$$

$$4,6$$

$$3,5$$

Solution

Question 7

$$30\dfrac{1}{5}$$

$$31\dfrac{1}{3}$$

$$32\dfrac{1}{2}$$

$$33\dfrac{1}{3}$$

Solution

Question 8

line graph

table

pie chart

bar chart

Solution

Question 9

Pie-chart

Multiple bar diagram

Rectangular diagram

Square diagram

Question 10

individual series

geographical

discrete series

time series

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