Certainly! Let's go through the process step-by-step to find the average population per village based on the given data.
### Step-by-Step Solution
1. List the given data:
- Population (in thousands): [tex]\( [12, 5, 30, 20, 15, 8] \)[/tex]
- Number of villages: [tex]\( [20, 15, 32, 35, 36, 7] \)[/tex]
2. Calculate the sum of the populations:
[tex]\[
12 + 5 + 30 + 20 + 15 + 8 = 90 \text{ thousand}
\][/tex]
So, the total population in thousands is 90 thousand.
3. Calculate the sum of the villages:
[tex]\[
20 + 15 + 32 + 35 + 36 + 7 = 145
\][/tex]
So, the total number of villages is 145.
4. Find the average population per village:
To find the average population per village, we divide the total population by the total number of villages:
[tex]\[
\text{Average population per village (in thousands)} = \frac{\text{Total population (in thousands)}}{\text{Total number of villages}}
\][/tex]
Substituting the values:
[tex]\[
\text{Average population per village (in thousands)} = \frac{90}{145} \approx 0.6207 \text{ thousand}
\][/tex]
5. Convert the average population per village to actual population count:
The population was initially given in thousands. To convert it to the actual number of people, we multiply by 1000:
[tex]\[
\text{Average population per village} = 0.6207 \times 1000 = 620.7
\][/tex]
### Conclusion
- The total population in thousands is 90.
- The total number of villages is 145.
- The average population per village in thousands is about 0.621.
- The actual average population per village is approximately 620.7 people.
Thus, the detailed step-by-step answer to finding the average population in each village is that, on average, each village has about 620.7 people.
