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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
4. index number using Chain base method Example-4
(Previous example)		6. Example-6
(Next example)

5. Example-5


Find index number using Fixed base method by taking base year 2011, Chain base method
Item\Year20112012201320142015
Wheat4046505664
Bajri2030364254
Chana50648096112

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 = 2011
Item\Year20112012201320142015
Wheat`(40)/(40)xx100=100``(46)/(40)xx100=115``(50)/(40)xx100=125``(56)/(40)xx100=140``(64)/(40)xx100=160`
Bajri`(20)/(20)xx100=100``(30)/(20)xx100=150``(36)/(20)xx100=180``(42)/(20)xx100=210``(54)/(20)xx100=270`
Chana`(50)/(50)xx100=100``(64)/(50)xx100=128``(80)/(50)xx100=160``(96)/(50)xx100=192``(112)/(50)xx100=224`
Total300393465542654
General index number `=("Total")/3``300/3=100``393/3=131``465/3=155``542/3=180.67``654/3=218`




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\Year20112012201320142015
Wheat`(40)/(40)xx100=100``(46)/(40)xx100=115``(50)/(46)xx100=108.7``(56)/(50)xx100=112``(64)/(56)xx100=114.29`
Bajri`(20)/(20)xx100=100``(30)/(20)xx100=150``(36)/(30)xx100=120``(42)/(36)xx100=116.67``(54)/(42)xx100=128.57`
Chana`(50)/(50)xx100=100``(64)/(50)xx100=128``(80)/(64)xx100=125``(96)/(80)xx100=120``(112)/(96)xx100=116.67`
Total300393353.7348.67359.52
Aggregate index number `=("Total")/3``300/3=100``393/3=131``353.7/3=117.9``348.67/3=116.22``359.52/3=119.84`


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4. index number using Chain base method Example-4
(Previous example)		6. Example-6
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