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Exam (elaborations)

Exam (elaborations) BAM212 Business Statistics

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Business statistics I sample exam practice questions

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  • September 12, 2024
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Business Statistics HV
Practice Questions
Index Numbers and Time Series

1. Explain various tests of adequacy of Index numbers. Why is Fisher’s Index known as an ideal
index number.
2. Calculate the cost of living index number for the year 2010 on the basis of 2005 from the following data
where a consumer basket consists of 6 commodity groups. If a person was earning Rs 50,000 per month
in 2005 what should have been his salary in 2010


Commodity groups Weights Prices in Prices in
2005 2010

(Rs per unit) (Rs per unit)

A 40 16 20

B 25 40 48

C 5 0.5 0.5

D 20 88 100

E 10 65 80



3. Write a short note explaining BSE SENSEX and NSE NIFTY index numbers.

4. From the following two different index number series, construct a new series of Index number with base
year as 2008

Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010

I.N (base year 100 112 120 122 125 140
2000)

I.N. ( base 100 120 130 135 140 140
year 2005)



5. For the following data calculate Quantity Index number using (i) Fisher’s method and (ii) Marshall
Edgeworth method.
Commodity Quantity Base year Price base Year Expenditure Quantity Current
Kg Rs Current year year
A 40 25 2000 50
B 18 22 1200 30

, C 16 54 1320 44
D 40 20 1350 45
E 30 18 630 15
Answer (i) 136.85 (ii) 134.94

6. A Company made spent 50, 48,18 and 42 Rs lakh on 4 items in 2012. In the year 2013 the expenditures
increased to 100,98,60 and 102 Rs lakh on these items respectively. If the units purchased of each item is
same in both years respectively, compute the price index of the current year using appropriates method.

What method would you prefer if the quantities are 4 items are given as 5,2,6 and 17 respectively?

Answer : 227.85


7. Fit a linear trend for the following data on annual steel production (in million tons) in a state.

Year Production

1995 23

1996 25

1997 50

1998 45

1999 60

2000 75

2001 84

2002 100



8. Calculate the four seasonal indices for rain fall (in mm) in Karnataka using simple average method

Rainfall in mm

Year Season I Season II Season III Season IV

2005 118 260 379 20

2006 85 185 405 25

2007 95 190 401 22

2008 120 200 400 22

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