Question

Start by making a relative frequency table. What percentage of kids surveyed prefer meat?
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
%
Adults

Answer 1

To create a relative frequency table, we need to calculate the relative frequencies of each category (kids and adults) for both preferences (meat and veggies). Then we will express these relative frequencies as percentages.

### Original Table
| | Prefer Meat | Prefer Veggies | Total |
|----------------|-------------|----------------|-------|
| Kids | 180 | 70 | 250 |
| Adults | 32 | 48 | 80 |
| **Total** | 212 | 118 | 330 |

### Relative Frequency Calculation
To find the relative frequency, we will take each group of kids and adults and divide the count of each preference by the total for that group.

#### For Kids:
- **Relative frequency of Prefer Meat (Kids)**:
\[
\text{Relative Frequency (Kids, Meat)} = \frac{180}{250} = 0.72
\]

- **Relative frequency of Prefer Veggies (Kids)**:
\[
\text{Relative Frequency (Kids, Veggies)} = \frac{70}{250} = 0.28
\]

#### For Adults:
- **Relative frequency of Prefer Meat (Adults)**:
\[
\text{Relative Frequency (Adults, Meat)} = \frac{32}{80} = 0.40
\]

- **Relative frequency of Prefer Veggies (Adults)**:
\[
\text{Relative Frequency (Adults, Veggies)} = \frac{48}{80} = 0.60
\]

### Relative Frequency Table
Now, we can fill in the relative frequencies as percentages (by multiplying by 100).

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

### Conclusion
- **Percentage of kids surveyed who prefer meat**: 72%

This relative frequency table gives a good overview of the preferences of kids and adults regarding meat and veggies in percentage form.