To calculate the marginal relative frequency of people who play winter sports, we will use the total number of people who play winter sports divided by the overall total.
From the table:
- Total number of people who play winter sports = 157
- Overall total number of people surveyed = 287
Now, we calculate the marginal relative frequency:
\[ \text{Marginal relative frequency} = \frac{\text{Total who play winter sports}}{\text{Overall total}} = \frac{157}{287} \]
Now, performing the division:
\[ \frac{157}{287} \approx 0.547 \]
To convert this to a percentage, we multiply by 100:
\[ 0.547 \times 100 \approx 54.7% \]
Now rounding to the nearest whole percentage gives us approximately 55%.
Therefore, the marginal relative frequency of people who play winter sports is:
Marginal relative frequency: 55%