Let's go through the solution step-by-step:
1. Identify the number of counties and list the number of schools:
- County A: 8
- County B: 4
- County C: 2
- County D: 5
- County E: 4
- County F: 4
- County G: 11
So, there are a total of 7 counties.
2. Find the total number of schools in all counties:
- Adding the schools in each county: [tex]\(8 + 4 + 2 + 5 + 4 + 4 + 11\)[/tex]
3. Calculate the total:
- [tex]\(8 + 4 = 12\)[/tex]
- [tex]\(12 + 2 = 14\)[/tex]
- [tex]\(14 + 5 = 19\)[/tex]
- [tex]\(19 + 4 = 23\)[/tex]
- [tex]\(23 + 4 = 27\)[/tex]
- [tex]\(27 + 11 = 38\)[/tex]
So, the total number of schools is 38.
4. Calculate the mean (average) number of schools:
- Mean number of schools = Total number of schools / Number of counties
- Mean = [tex]\(38 / 7\)[/tex]
5. Simplify the division to find the mean:
- Mean = 5.43 (approximately, when rounded to two decimal places)
Thus, the detailed solution for finding the mean number of schools in each county is:
- Total number of counties: 7
- Total number of schools: 38
- Mean number of schools: [tex]\(38 / 7 = 5.43\)[/tex]
So, the mean number of schools in each county is 5.43.
