Question

Based on the two-way frequency table what is the marginal relative frequency of people who play winter sports round your answer to the nearest whole percentage Colorado plays winter sports 103 does not play winter sports 35 total $138 Nebraska plays winter sports 54 does not play winter sports 95 total 149

Answer 1

To find the marginal relative frequency of people who play winter sports, we first need to calculate the total number of people who play winter sports and the total number of individuals surveyed.

From the data provided:

**Colorado:**
- Plays winter sports: 103
- Does not play winter sports: 35
- Total: 138

**Nebraska:**
- Plays winter sports: 54
- Does not play winter sports: 95
- Total: 149

Now, let's calculate the total number of people who play winter sports and the overall total.

1. **Total playing winter sports**:
- Colorado: 103
- Nebraska: 54
- Total: \(103 + 54 = 157\)

2. **Overall total number of people**:
- Colorado total: 138
- Nebraska total: 149
- Overall total: \(138 + 149 = 287\)

Now, to find the marginal relative frequency of people who play winter sports, we use the formula:

\[
\text{Marginal Relative Frequency} = \left( \frac{\text{Total who play winter sports}}{\text{Overall total}} \right) \times 100
\]

Substituting the values we have:

\[
\text{Marginal Relative Frequency} = \left( \frac{157}{287} \right) \times 100 \approx 54.75\%
\]

Rounding to the nearest whole percentage, the marginal relative frequency of people who play winter sports is:

**55%**.