Index Numbers
index
number:
way to compare measurements made at different times or places
choose one measurement as refernce value
index number = ( measured value / reference value) * 100
-
gas in 1975: 57.7 c per gallon, gas today (2002): 148.9c per gallon, use
the 1975 value as reference number to compute a gas index.
Consumer Price Index (CPI) : is based
on average prices in a sample of 60,000 goods, services and housing costs
(computed monthly)
inflation
rate between years X and Y = (CPIY -
CPIX)
/ CPIX
-
compute the rate of inflation from 1980 to 1990 and from 1990 to 2000
Consumer Price Index
1980 |
82.4 |
1990 |
130.7 |
2000 |
172.2 |
Adjusting prices for inflation:
price in $Y = (price in $X) * (CPIY /
CPIX),
where
X and Y represent years.
-
need $20,000 to maintain a particular standard of living in 1975. How much
is need in 2000 for the same standard of living?
Consumer Price Index
1975 |
53.8 |
2000 |
172.2 |
-
how much was a $15 haircut (in todays $) in 1980?
-
compare the home prices (South) with the rate of inflation.
home prices
1990 |
85,900 |
2000 |
109,000 |
-
a health care index, which measures health care in the states:
Health Care Quality Index
WI |
114.6 |
TN |
87.1 |
Fill the blanks:
The health care quality index (HCQI) for Tennessee is ... percent of
the HCQI for Wisconsin
The HCQI for Tennessee is ... % smaller than the HCQI for
Wisconsin.
next lecture
notes