Home > Statistics > Index Number > 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 )
  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

2. index number using Fixed base method by taking base year 2010 Example-2





Find index number using Fixed base method by taking base year 2010
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`





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