Answer :
To determine the values in the table, let's analyze the given data step-by-step:
1. Total People:
- The total number of people polled is 300.
2. Total Laptops and Cell Phones:
- The total number of people with laptops is 207.
- The total number of people with cell phones is 241.
3. Particular Values:
- People who own both a laptop and a cell phone: 82
- People who own a laptop but not a cell phone: 11
4. Determine 'a':
- 'a' is the number of people who own a cell phone but not a laptop.
- Since the total number of people is 300, the total number of people without laptops is 300 - 207 = 93.
- Therefore, 'a' represents these 93 people who do not have a laptop but do have a cell phone.
5. Determine 'b':
- 'b' is the total number of people who own a laptop, regardless of whether they have a cell phone.
- This can be determined by adding the number of laptop owners who also own cell phones to the number of laptop owners who do not own cell phones.
- From the table, people with laptops that also own cell phones = 82, and people with laptops that do not own cell phones = 11.
- Thus, 'b' is 82 + 11 = 93.
Using these computations, the completed statements are:
1. The cell labeled 'a' is 82 (number of people with cell phones but not laptops).
2. The cell labeled 'b' is 93 (total number of people with laptops).
1. Total People:
- The total number of people polled is 300.
2. Total Laptops and Cell Phones:
- The total number of people with laptops is 207.
- The total number of people with cell phones is 241.
3. Particular Values:
- People who own both a laptop and a cell phone: 82
- People who own a laptop but not a cell phone: 11
4. Determine 'a':
- 'a' is the number of people who own a cell phone but not a laptop.
- Since the total number of people is 300, the total number of people without laptops is 300 - 207 = 93.
- Therefore, 'a' represents these 93 people who do not have a laptop but do have a cell phone.
5. Determine 'b':
- 'b' is the total number of people who own a laptop, regardless of whether they have a cell phone.
- This can be determined by adding the number of laptop owners who also own cell phones to the number of laptop owners who do not own cell phones.
- From the table, people with laptops that also own cell phones = 82, and people with laptops that do not own cell phones = 11.
- Thus, 'b' is 82 + 11 = 93.
Using these computations, the completed statements are:
1. The cell labeled 'a' is 82 (number of people with cell phones but not laptops).
2. The cell labeled 'b' is 93 (total number of people with laptops).
