Descriptive Statistics Test 6

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Descriptive Statistics Test 6

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Weekly Quiz Competition

Question 1
1 / -0

If the standard deviation for the marks obtained by a student in monthly tests is 36 then the variance is

A
6

B
36

C
1296

D
none of these

Solution

Standard deviation defined the square root of varian
Standard deviation=$$\sqrt{variance}$$
Given Standard deviation=36
$$36=\sqrt{V}$$ (where V is s tendered deviation
Square both sides
$$(36)^{2}=V\Rightarrow V=1296$$
Question 2
1 / -0

Which one of the following statements is correct?

A
The standard deviation for a given distribution is the square ofthe variance

B
The standard deviation for a given distribution is the square root of the variance

C
The standard deviation for a given distribution is equal to the variance

D
The standard deviation for a given distribution is halfofthe variance

Solution

We know that
$$Variance=\dfrac{\sum{fD^2}}{N}$$
$$Standard\ Deviation (SD)=\sqrt{Variance}$$

Hence, The Standard deviation for a given distribution is the square root of the variance.

Hence, this is the answer.
Question 3
1 / -0

On joining the points if we get a straight line, that graph is called.

A
Bar graph

B
Pie chart

C
Line graph

D
None of these

Solution

A chart which displays information as a series of data points connected by straight line is known as line graph.
Question 4
1 / -0

Five chemical factories $$P,\,Q,\,R,\,S\;and\;T$$ are located in different cities along a river bank. Municipal officer, in order to estimate the pollution caused by these factories, counted the number of fishes present at the places where these factories discharged their wastes into the river. A graph as shown here, is plotted based on the observations.
What can be inferred from the graph ?

A
Factory $$R$$ dumps the least toxic wastes in the river.

B
Factory $$P$$ dumps its waste into river after removing toxic wastes.

C
Fishes are maximally harmed by the toxic wastes of factory $$Q$$.

D
Factory $$T$$ dumps the most toxic wastes in the river.

Solution

Because the number of fishes present in the river where factory $$T$$ dump the waste is less than any other so factory $$T$$ dumps the most toxic wastes in the river.
Hence option $$D$$ is answer.
Question 5
1 / -0

To compare the relative growth or decline of two or more series the most appropriate chart to be drawn would be

A
line

B
bar

C
ratio

D
multiple

Solution

Bar chart is most appropriate because it can be used even when there is relationship in between non-numeric and numeric data
Question 6
1 / -0

In a bar chart:

A
rectangles are of equal lengths

B
width of rectangles is fixed

C
rectangles are drawn with unequal shapes between them

D
width of rectangles carry important meaning

Solution

In a bat chart, width of rectangle is fixed
Question 7
1 / -0

Directions For Questions

Study the information given in the table above and answer the question. The following bar graph gives the sales of Apple products.

...view full instructions

The difference in the sales of apple products for the year $$2000$$ and $$2001$$ is?

A
$$4000$$

B
$$3000$$

C
$$2000$$

D
$$1000$$

Solution

The difference in the sales of apple products for the year $$2000$$ and $$2001$$ is $$4000 - 3000 = 1000$$.
Question 8
1 / -0

Directions For Questions

Study the information given in the table above and answer the question. The following bar graph gives the sales of Apple products.

...view full instructions

The sum of sales of apple products in the years $$1999$$ and $$2000$$ is approximately equal to that in?

A
$$1998$$

B
$$2001$$

C
$$2002$$

D
$$2003$$

Solution

The sum of sales in two years is: $$1200 + 3000 = 4200$$
Which approximately equal to $$4000$$ in the year $$2001$$.
Question 9
1 / -0

Directions For Questions

Study the information given in the table above and answer the question. The following bar graph gives the sales of Apple products.

...view full instructions

The percentage increases in sales from $$2000$$ to $$2003$$ was?

A
$$55.44\%$$

B
$$56.89\%$$

C
$$66.66\%$$

D
$$89.56\%$$

Solution

The percentage increase $$=$$ $$\dfrac{5000 - 3000}{3000}\times 100$$ $$\%$$
$$= 66.66\%$$
Question 10
1 / -0

Directions For Questions

Study the information given in the table above and answer the question. The following bar graph gives the sales of Apple products.

...view full instructions

What is the ratio between total sales rate of apple product in the year $$2001 $$ to $$2003$$?

A
$$5:4$$

B
$$4:3$$

C
$$4:5$$

D
$$5:3$$

Solution

Ratio of sales rate of apple product in the year $$2001$$ to $$2003$$ is $$4000:5000$$
So, it is $$4:5 $$

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Re-Attempt Weekly Quiz Competition

Descriptive Statistics Test 6

Result

Descriptive Statistics Test 6

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Rank

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SHARING IS CARING

Question 1

6

36

1296

none of these

Solution

Question 2

The standard deviation for a given distribution is the square ofthe variance

The standard deviation for a given distribution is the square root of the variance

The standard deviation for a given distribution is equal to the variance

The standard deviation for a given distribution is halfofthe variance

Solution

Question 3

Bar graph

Pie chart

Line graph

None of these

Solution

Question 4

Factory $$R$$ dumps the least toxic wastes in the river.

Factory $$P$$ dumps its waste into river after removing toxic wastes.

Fishes are maximally harmed by the toxic wastes of factory $$Q$$.

Factory $$T$$ dumps the most toxic wastes in the river.

Solution

Question 5

line

bar

ratio

multiple

Solution

Question 6

rectangles are of equal lengths

width of rectangles is fixed

rectangles are drawn with unequal shapes between them

width of rectangles carry important meaning

Solution

Question 7

$$4000$$

$$3000$$

$$2000$$

$$1000$$

Solution

Question 8

$$1998$$

$$2001$$

$$2002$$

$$2003$$

Solution

Question 9

$$55.44\%$$

$$56.89\%$$

$$66.66\%$$

$$89.56\%$$

Solution

Question 10

$$5:4$$

$$4:3$$

$$4:5$$

$$5:3$$

Solution

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