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Statistics 4 Marks Each

PART 1 : INDEX NUMBER · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 5 questions.

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Question 14 Marks
$\text { From the following data, calculate cost of living index number for the year } 2015 \text {. }$
Group Food Rent Clothes Fuel Miscellaneous
Expenditure $(\%)$ $35$ $15$ $20$ $10$ $20$
Price $(₹)$ in $2010$ $150$ $30$ $75$ $25$ $40$
Price $(₹)$ in $2015$ $145$ $30$ $65$ $23$ $45$
Answer
$\text { Cost of living index number }=97.87$
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Question 24 Marks
From the following data about daily wages of workers, compute index numbers by $(i)$ Fixed base method by taking the year $2011$ as base year $(ii)$ Chain base method.
Year $2008$ $2009$ $2010$ $2011$ $2012$ $2013$ $2014$ $2015$
Daily wages $(₹)$ $60$ $80$ $90$ $80$ $100$ $120$ $125$ $160$
Answer
$(i)$ Fixed base index number $=75,100,112.5,100,125,150,156.25,200$
$(ii)$ Chain base index number $=100,133.33,112.5,88.89,125,120,104.17,128$
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Question 34 Marks
From the following data about the price and consumption of food items, find index number for the year $2014$ by family budget method.
Item $2006$ $2014$
  Quantity $(kg)$ Price $(₹)$  
Wheat $60$ $25$ $30$
Rice $40$ $20$ $25$
Bajri $15$ $15$ $20$
Pulses $25$ $50$ $70$
Answer
$\text { Index number by family budget method }=128.48$
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Question 44 Marks
From the following data, find index number for the year $2018$ by family budget method considering the year $2017$ as base year.
Group $2017$ Price $(₹)$ $2018$ Price $(₹)$ Weight
$A$ $20$ $24$ $4$
$B$ $1.25$ $1.5$ $3$
$C$ $5$ $8$ $2$
$D$ $2$ $2.25$ $1$
Answer
$\text { Index number by family budget method }=127.25$
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Question 54 Marks
The data about exports of four items $A, B, C$ and $D$ from the year $2008$ to $2012$ are as follows. Calculate the general index number of exports -
Item Exports $($Lakh $₹)$
$2008$ $2009$ $2010$ $2011$ $2012$
$A$ $20$ $23$ $25$ $28$ $32$
$B$ $10$ $15$ $18$ $21$ $27$
$C$ $25$ $32$ $40$ $48$ $56$
$D$ $4$ $5$ $6$ $8$ $10$
$(i)$ By fixed base method considering the year $2008$ as base year $(ii)$ By chain base method
Answer
$(i)$ General index number of exports by fixed base method $=100,129.5,153.75,185.5,226$
$(ii)$ General index number of exports by chain base method $=100,129.5,118.43,120.5,121.13$
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4 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip