Reconstruct the following index series using 1980 as base

Question: Reconstruct the following index series using 1980 as base

Year: 1976 1977 1978 1979 1980 1981 1982
Index No.: 110 130 150 175 180 200 220

Solution:

Base shifting

YearIndices No.Base ShiftingNew Indices (base 1980)
1976110(110×100)/18061.11
1977130(130×100)/18072.22
1978150(150×100)/18083.33
1979175(175×100)/18097.22
1980180(180×100)/180100.00
1981200(200×100)180111.11
1982220(220×100)180122.22