Question

The percentages of kids surveyed that prefer meat and that prefer veggies should total 100% because they represent all of the kids surveyed. Add 72% and 28% to confirm it equals 100%.
Prefer
meat Prefer
veggies Total
Kids 180 70 250
Adults 32 48 80
Total 212 118 330
Relative frequency table
Prefer
meat Prefer
veggies Total
Kids 72% 28%
%
Adults

Answer 1

To confirm that the percentages for kids surveyed add up to 100%, we can add the percentages of kids who prefer meat and those who prefer veggies:

\[
72\% + 28\% = 100\%
\]

This confirms that the percentages accurately represent all of the kids surveyed.

Now, let's calculate the relative frequencies for adults in a similar fashion. The relative frequency is calculated by taking the count of each preference and dividing by the total number of adults surveyed.

1. For adults who prefer meat:
\[
\frac{32}{80} = 0.4 \text{ or } 40\%
\]

2. For adults who prefer veggies:
\[
\frac{48}{80} = 0.6 \text{ or } 60\%
\]

Now we can fill in the relative frequency table for adults:

| | Prefer Meat | Prefer Veggies | Total |
|----------------|-------------|----------------|-------|
| Kids | 72% | 28% | 100% |
| Adults | 40% | 60% | 100% |
| Total | N/A | N/A | 100% |

In summary:

- Kids: 72% prefer meat, and 28% prefer veggies.
- Adults: 40% prefer meat, and 60% prefer veggies.