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Statistics 2 Marks Each

PART 1 : INDEX NUMBER · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 17 questions.

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17 questions · timed · auto-graded

Question 12 Marks
If the average monthly income of middle class families is $₹ 18,000$ and the cost of living index number is $220$ for the year $2018 ,$ find the real average monthly income of these families.
Answer
Real average monthly income $=₹ 8181.82$
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Question 22 Marks
Find the chain base index numbers from the fixed base index numbers given below.
Year $2016$ $2017$ $2018$
Fixed base index numbers $250$ $295$ $300$
Answer
Chain base index number $=100,118,101.69$
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Question 32 Marks
The price of an item was $₹ 500$, which is $₹ 750$ in the current year. Find index number and interpret.
Answer
Index number $=150$ and $50 \%$ rise in price
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Question 62 Marks
The percentage price relatives of three items are $300,330$ and $350$ respectively. If the importance of these items are in the ratio of $8: 7: 5$, find the general price index number.
Answer
General index number of price $=323$
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Question 72 Marks
If the production of an item increased by $\frac{13}{4}$ times in the year $2018$ as compared to the base year, find the index number of production for the year $2018.$
Answer
$425$
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Question 82 Marks
If $\Sigma I W=7380$ and the cost of living index number is $73.8$, find the total weight.
Answer
Total weight $=100$
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Question 92 Marks
$7 \%$ rate of inflation is obtained by using the wholesale price index number for the years $2016$ and $2017.$
If index number for the year $2016$ is $140$ then what will be the index number for the year $2017 ?$
Answer
$149.8$
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Question 102 Marks
The wholesale price index numbers for the years $2017$ and $2018$ are found to be $185.3$ and $195.8$ respectively. Find the rate of inflation using index numbers of both the years.
Answer
$0.0567$
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Question 122 Marks
$\text { If } \Sigma p_1 q_0: \Sigma p_0 q_0=6: 5 \text { and } \Sigma p_1 q_1: \Sigma p_0 q_1=8: 5 \text {, find Fisher's index number. }$
Answer
$I_F=138.56$
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Question 132 Marks
If the cost of living index number increased from $300$ to $400$ during a certain time period and the wages increased from $₹ 12,000$ to $₹ 15,000$, what will be the real gain or loss of the worker ?
Answer
$\text { Wage is } ₹ 16000 \text { and the loss to the worker is } ₹ 1000$
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Question 152 Marks
State the points to be considered for the construction of cost of living index number.
Answer
self-learning
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2 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip