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Home > Statistical Methods calculators > Fixed base method and Chain base method for bivariate grouped data example
3. Fixed base method and Chain base method for bivariate grouped data example ( Enter your problem )
( Enter your problem )
  1. index number using Fixed base method by taking base year 2011 Example-1
  2. index number using Fixed base method by taking base year 2010 Example-2
  3. index number using Chain base method Example-3
  4. index number using Chain base method Example-4
  5. Example-5
  6. Example-6
 		Other related methods
  1. Fixed base method and Chain base method
  2. Unweighted Index Number
  3. Fixed base method and Chain base method for bivariate grouped data
  4. Conversion of fixed base index numbers into chain base index numbers
  5. Weighted Index Numbers
  6. Weighted average method
  7. Cost of living Index number
5. Example-5
(Previous example)		4. Conversion of fixed base index numbers into chain base index numbers
(Next method)

6. Example-6


Find index number using Fixed base method by taking base year 2010, Chain base method
Item\Year2007200820092010
Murder110128134129
Rape30454048
Robbery610720770830
Theft2450263029102890

Solution:
Fixed base method :
Fixed base index number `I=("Value of variable in current year (period)")/("Value of variable in base year (period)") xx 100`

Base year = 2010
Item\Year2007200820092010
Murder`(110)/(129)xx100=85.27``(128)/(129)xx100=99.22``(134)/(129)xx100=103.88``(129)/(129)xx100=100`
Rape`(30)/(48)xx100=62.5``(45)/(48)xx100=93.75``(40)/(48)xx100=83.33``(48)/(48)xx100=100`
Robbery`(610)/(830)xx100=73.49``(720)/(830)xx100=86.75``(770)/(830)xx100=92.77``(830)/(830)xx100=100`
Theft`(2450)/(2890)xx100=84.78``(2630)/(2890)xx100=91``(2910)/(2890)xx100=100.69``(2890)/(2890)xx100=100`
Total306.04370.73380.67400
General index number `=("Total")/4``306.04/4=76.51``370.73/4=92.68``380.67/4=95.17``400/4=100`




Chain base method :
Chain base index number `I=("Value of variable in current year (period)")/("Value of variable in preceding year (period)") xx 100`

Item\Year2007200820092010
Murder`(110)/(110)xx100=100``(128)/(110)xx100=116.36``(134)/(128)xx100=104.69``(129)/(134)xx100=96.27`
Rape`(30)/(30)xx100=100``(45)/(30)xx100=150``(40)/(45)xx100=88.89``(48)/(40)xx100=120`
Robbery`(610)/(610)xx100=100``(720)/(610)xx100=118.03``(770)/(720)xx100=106.94``(830)/(770)xx100=107.79`
Theft`(2450)/(2450)xx100=100``(2630)/(2450)xx100=107.35``(2910)/(2630)xx100=110.65``(2890)/(2910)xx100=99.31`
Total400491.74411.17423.37
Aggregate index number `=("Total")/4``400/4=100``491.74/4=122.94``411.17/4=102.79``423.37/4=105.84`


This material is intended as a summary. Use your textbook for detail explanation.
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5. Example-5
(Previous example)		4. Conversion of fixed base index numbers into chain base index numbers
(Next method)


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