2.20. One of the most c
o
mmon specific death rates is the age specific
death rate. Age
specific death rates might be calculated for single years or for decades of age, as 4049.99
year olds, or for some other interval.
???? Write an expression denoting the age specific death rate for twentyyearolds in the
United States in 1965.
m
20 year old
=
______________________________________________
×
1000
#### m
20 year old
=
number of deaths among 20 year old persons in the U.S. in 1965
×
1000
number of 20 year olds in the U.S. in 1965 at midyear
???? Does specific death rate mean age
specific death rate?(yes or no)
#### No, but age specific death rate is one of the most common forms of specific death
rates.
2.21 To denote the length of the age interval, the symbol n is used as follows:
m denotes the age specific death rate in persons age x up to but not including
x + n.
If a ten year interval is desired, then n = l0. If a five year interval is desired, then n
= 5. Note that in this expression, x denotes the beginning of the age interval.
???? If the age specific death rate is expressed as
5
m
10
:
(1) What is the beginning of the age interval?___________________
(2) What is the length of the interval?__________________________
(3) What ages would be included?__________________________
#### (1)
x = 10 years old
(2)
n = 5 year interval
(3)
1014 year olds would be included.
???? What symbol would denote the age specific death rate for persons in their twenties?
______________________________________________________
####
10
m
20
Since we are denoting persons of 20 up to 20+10.
2.22. Similarly, this same type of notation is used to denote the number of persons dying
between ages x to x + n as
n
D
x
·
For example, the number of persons
dying between ages 60 and 69.99 would be
10
D
60
·
???? What symbol could be used to denote the population between
ages x to x+n?_______________________________________________
n
p
x
???? Write the formula for the age specific death rate for persons age x to x+n
####
n
m
x
= ((
n
D
x
)/ (
n
P
x
))
×
1000.
2.23. The age specific death rate is denoted as:
n
m
x
= ((
n
D
x
)/ (
n
P
x
))
×
1000.
Sometimes one additional symbol is added to this notation. This is a letter symbol or a
number that denotes the year the rate refers to.
For example, the age specific death rate
for year z could be written:
n
m
x
z
= ((
n
D
x
z
)/ (
n
P
x
z
))
×
1000.
???? Write the age specific death rate for persons in their thirties for 1968.
####
10
m
30
1968
= ((
10
D
30
1968
)/ (10
n
P
30
1968
))
×
1000.
9
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???? Write the expression for the age specific rate for 25 year olds
####
1
m
25
1968
= ((
1
D
25
1968
)/ (
1
P
25
1968
))
×
1000,
but usually when it is a single year the 1 is omitted.
2.24 In most countries the highest risk of death is in the oldest and the youngest age
groups, with minimum risk of death among young adults.
???? Would you expect
10
m
20
to be less than, equal to, or greater than
10
m
80
?
_________________________________________________________
#### The age specific death rates for young adults are less than
for elderly persons.
???? In the United States would you expect m
3
1865
to be greater or smaller than m
3
1965
?
(greater or smaller)
#### m
3
1865
would be expected to be greater than m
3
1965
.
The age specific death rate for
three year olds has been going down in the last century in the United States.
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 Fall '10
 Tarter
 Demography, age specific death

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