Plays winter sports Does not play winter sports Totals

Colorado 103 35 138
Nebraska 54 95 149
Total 157 130 287
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.

(1 point)
percent
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1 answer

To find the marginal relative frequency of people who play winter sports, we first need to determine the total number of people who play winter sports and then divide that by the total number of people surveyed.

From the table:

  • The total number of people who play winter sports is 157.
  • The grand total of participants is 287.

Now, we calculate the marginal relative frequency:

\[ \text{Marginal Relative Frequency} = \left( \frac{\text{Number of people who play winter sports}}{\text{Total number of participants}} \right) \times 100 \]

\[ \text{Marginal Relative Frequency} = \left( \frac{157}{287} \right) \times 100 \approx 54.73% \]

Rounding this to the nearest whole percentage gives us approximately 55%.

Thus, the marginal relative frequency of people who play winter sports is 55 percent.