Final answer:
To construct the full series with base years 1991 and 1995, assign the value of 100 to each base year and adjust the values for other years accordingly. For 1991 as the base year, the series is 100, 101, 102, 103, 104 for the years 1991 through 1995. For 1995 as the base year, the series is 96, 97, 98, 99, 100 for the years 1991 through 1995 in reverse order.
Step-by-step explanation:
To construct the full series with base 1991 and 1995, we have to establish the values for the data points in these years first. Since the question provides us with the information that in the year 1991, we have a hundred, we will use that as our starting point. The value for each subsequent year should reflect an increase or decrease relative to this base year.
Here's how we can construct the series:
- The base year of 1991 is assigned the value of 100.
- For the year 1992, the value given is 101, which indicates a 1% increase from the base year.
- Continuing this pattern, for 1993 we have 102, for 1994 we have 103, and for 1995 we have 104.
To construct a complete series with base 1991:
- 1991: 100 (Base year)
- 1992: 101
- 1993: 102
- 1994: 103
- 1995: 104
And with base 1995, using the reverse order:
- 1995: 100 (Base year)
- 1994: 99
- 1993: 98
- 1992: 97
- 1991: 96
Notice that for the 1995 base, we've decreased the value by 1 each year going back to 1991.