Descriptive Statistics Test 49

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Descriptive Statistics Test 49

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Weekly Quiz Competition

Question 1
1 / -0

The Multiplicative Model of a time series is expressed is :

A
$$Y_{t} = T_{t} \times C_{t} \times S_{t} \times R$$

B
$$Y_{t} = T_{t} - C_{t} - S_{t} - R_{t}$$

C
$$Y_{t} = T_{t} + C_{t} + S_{t} + R_{t}$$

D
$$Y_{t} = T_{t}\cap C_{t}\cup S_{t} \cup R_{t}$$
Question 2
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Directions For Questions

Percentage of steel by different companies in three consecutive years(in lakh tones)

...view full instructions

Study the following graph carefully and answer the question given.
What is the percentage decline in production by company C from $$1995$$ to $$1996$$?

A
$$5$$

B
$$20$$

C
$$15$$

D
$$12.50$$

Solution

Production of company C in $$1995=40$$ lakhs tonne
Production of company C in $$1996=35$$ lakhs tonne
% decline in production$$=\cfrac { 40-35 }{ 40 } \times 100$$
$$=12.5$$%
Question 3
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In a group, $$2$$ students spend Rs$$8$$ daily, $$3$$ students spend Rs$$10$$ daily and $$5$$ students spend Rs$$6$$ daily. The average spending of all $$10$$ students is _______.

A
$$7.6$$

B
$$5.8$$

C
$$8.5$$

D
$$6.7$$
Question 4
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The $$P_82$$ for the following distribution is
X 2 3 4 5 6 7 8 9 10 11
Y 3 6 9 18 20 14 10 10 7 2

A
$$6$$

B
$$5$$

C
$$8$$

D
$$9$$
Question 5
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Directions For Questions

Production of three types of tyres by a company over the years(in lakh).

...view full instructions

Study the following graph carefully and answer the question given.
What was the difference between the number of B type tyres manufactured in $$1994$$ and $$1995$$?

A
$$1,00,000$$

B
$$20,00,000$$

C
$$10,00,000$$

D
$$12,50,000$$

Solution

Number of B type tyres in $$1995=35$$ lakhs
Number of B type tyres in $$1994=25$$ lakhs
difference $$=35-25=10$$ lakhs $$=1000000$$
Question 6
1 / -0

Time series is an important statistical technique which is widely used by _________.

A
Scientists

B
Sociologists

C
Research workers

D
All of above
Question 7
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Directions For Questions

Production of three types of tyres by a company over the years(in lakh).

...view full instructions

Study the following graph carefully and answer the question given.
The total number of all the three types of tyres manufactured was the least in which of the following years?

A
$$1995$$

B
$$1996$$

C
$$1992$$

D
$$1994$$

Solution

Number of $$3$$ type tyres in $$1992=75$$ lakhs
Number of $$3$$ type tyres in $$1993=75$$ lakhs
Number of $$3$$ type tyres in $$1994=77.5$$ lakhs
Number of $$3$$ type tyres in $$1995=85$$ lakhs
Number of $$3$$ type tyres in $$1996=65$$ lakhs
Therefore, total number of tyres is least in $$1996$$
Question 8
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Directions For Questions

Production of three types of tyres by a company over the years(in lakh).

...view full instructions

Study the following graph carefully and answer the question given.
In which of the following years was the percentage production of B type of C type tyres the maximum?

A
$$1994$$

B
$$1992$$

C
$$1995$$

D
$$1993$$

Solution

In $$1995$$, number of type B tyres are far greater than type C tyres
% production of B on % production on C is maximum in $$1995$$
Question 9
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The standard deviation of the data:
$$x:$$ $$1$$ $$a$$ $${a}^{2}$$........$${a}^{n}$$
$$f:$$ $${ _{ }^{ n }{ C } }_{ 0 }$$ $${ _{ }^{ n }{ C } }_{ 1 }$$.....$${ _{ }^{ n }{ C } }_{ n }$$ is

A
$${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$

B
$${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$

C
$${ \left( \cfrac { 1+{ a }^{ 2 } }{2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }$$

D
None of these

Solution
Question 10
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Directions For Questions

Percentage of steel by different companies in three consecutive years(in lakh tones)

...view full instructions

Study the following graph carefully and answer the question given.
In which of the following pairs of companies the difference between average productions for the three years is maximum?

A
E and F

B
D and C

C
E and C

D
A and E

Solution

Total production of A$$=145$$
Total production of B$$=160$$
Total production of C$$=105$$
Total production of D$$=185$$
Total production of E$$=220$$
Total production of F$$=115$$
Therefore, difference between E and C production is the least.