Community A
Community B
Age
(Years)

Population

Deaths
Death Rate

 
Population

Deaths
Death Rate

Under 1
1,000
15
.015
5,000
100
.02
1-14
3,000
3
.001
20,000
10
.0005
15-34
6,000
6
.001
35,000
35
.001
35-54
13,000
52
.004
17,000
85
.005
55-64
7,000
105
.015
8,000
160
.020
Over 64
20,000
1,600
.080
15,000
1,350
.090
Total
50,000
1,781

100,000
1,740

Age
(Years)	Standard Population(A and B)	Death Rate 
 A
	Expected deaths at A's rates	 Death Rate
B	Expected deaths at 
B's rates
Under 1	6,000				
1-4	23,000				
15-34	41,000				
35-54	30,000				
55-64	15,000				
Over 64	35,000				
Total	150,000				
					


1.	Calculate the age-adjusted mortality rate for communities A & B.
To do this, first bring the death rates for the two communities down from the previous table. Then, multiply the standard population for each age group by the death rate for that age group for each community to fill in the “expected deaths” columns. Finally, add up the expected deaths and divide by the total number for the standard population to get the age-adjusted rate for each community.


To calculate the **age-adjusted mortality rate** for communities A and B, we'll follow these steps:

### Steps:
1. **Copy the death rates** for communities A and B from the provided data.
2. **Multiply the death rate** for each age group by the standard population for that age group to compute the **expected deaths**.
3. **Sum the expected deaths** for each community.
4. **Divide the total expected deaths** by the total standard population to get the age-adjusted death rate for each community.

### Given Data:

| **Age Group (Years)** | **Standard Population** | **Death Rate (A)** | **Death Rate (B)** |
|-----------------------|-------------------------|--------------------|--------------------|
| Under 1               | 6,000                   | 0.015              | 0.02               |
| 1-14                  | 23,000                  | 0.001              | 0.0005             |
| 15-34                 | 41,000                  | 0.001              | 0.001              |
| 35-54                 | 30,000                  | 0.004              | 0.005              |
| 55-64                 | 15,000                  | 0.015              | 0.02               |
| Over 64               | 35,000                  | 0.08               | 0.09               |
| **Total**             | 150,000                 |                    |                    |

### Calculating Expected Deaths:
For each community, we will calculate the expected deaths using the formula:

\[
\text{Expected Deaths} = \text{Standard Population} \times \text{Death Rate}
\]

#### Community A - Expected Deaths:

1. **Under 1**: \( 6,000 \times 0.015 = 90 \)
2. **1-14**: \( 23,000 \times 0.001 = 23 \)
3. **15-34**: \( 41,000 \times 0.001 = 41 \)
4. **35-54**: \( 30,000 \times 0.004 = 120 \)
5. **55-64**: \( 15,000 \times 0.015 = 225 \)
6. **Over 64**: \( 35,000 \times 0.08 = 2,800 \)

**Total Expected Deaths (Community A)** = \( 90 + 23 + 41 + 120 + 225 + 2,800 = 3,299 \)

#### Community B - Expected Deaths:

1. **Under 1**: \( 6,000 \times 0.02 = 120 \)
2. **1-14**: \( 23,000 \times 0.0005 = 11.5 \)
3. **15-34**: \( 41,000 \times 0.001 = 41 \)
4. **35-54**: \( 30,000 \times 0.005 = 150 \)
5. **55-64**: \( 15,000 \times 0.02 = 300 \)
6. **Over 64**: \( 35,000 \times 0.09 = 3,150 \)

**Total Expected Deaths (Community B)** = \( 120 + 11.5 + 41 + 150 + 300 + 3,150 = 3,772.5 \)

### Age-Adjusted Mortality Rates:
To get the **age-adjusted mortality rate**, divide the total expected deaths by the total standard population (150,000):

1. **Community A**:  
\[
\text{Age-Adjusted Mortality Rate} = \frac{3,299}{150,000} = 0.021993 \approx 0.022 \text{ or } 2.2\%
\]

2. **Community B**:  
\[
\text{Age-Adjusted Mortality Rate} = \frac{3,772.5}{150,000} = 0.02515 \approx 0.025 \text{ or } 2.5\%
\]

### Summary:
- **Age-Adjusted Mortality Rate for Community A** = **2.2%**
- **Age-Adjusted Mortality Rate for Community B** = **2.5%**

Would you like a detailed breakdown of the calculations or any specific part explained further?

---

### 5 Related Questions:
1. How does the age-adjusted mortality rate differ from the crude death rate?
2. Why is it important to use age-adjusted rates when comparing communities?
3. How would a change in the population distribution affect the age-adjusted mortality rate?
4. Could a community have a higher crude death rate but a lower age-adjusted rate?
5. What other factors, besides age, could be adjusted for in mortality rate comparisons?

### Tip:
Age-adjusted rates are useful for comparing mortality between communities because they control for differences in age distribution, providing a more accurate picture of overall health risks.

Community A
Community B
Age (Years)
Population
Deaths
Death Rate

Population
Deaths
Death Rate

Under 1
1,000
15
.015
5,000
100
.02
1-14
3,000
3
.001
20,000
10
.0005
15-34
6,000
6
.001
35,000
35
.001
35-54
13,000
52
.004
17,000
85
.005
55-64
7,000
105
.015
8,000
160
.020
Over 64
20,000
1,600
.080
15,000
1,350
.090
Total
50,000
1,781

100,000
1,740

Age (Years)
Standard Population (A and B)
Death Rate A
Expected deaths at A's rates
Death Rate B
Expected deaths at B's rates
Under 1
6,000
1-14
23,000
15-34
41,000
35-54
30,000
55-64
15,000
Over 64
35,000
Total
150,000

Calculate the age-adjusted mortality rate for communities A & B.

Learn how to calculate the age-adjusted mortality rate for Communities A & B using death rates and standard population data. This detailed solution includes step-by-step calculations of expected deaths for each age group and the final age-adjusted mortality rates. Suitable for advanced high school or college-level students.

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