Question

Use the table to answer the question. 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)

Answer 1

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 the total number of people surveyed.

From the table, the total number of people who play winter sports is given by the total in the "Plays winter sports" column:

- Total who play winter sports = 157

The total number of people surveyed is the grand total:

- Total surveyed = 287

Now we calculate the marginal relative frequency of people who play winter sports by using the formula:

\[
\text{Marginal Relative Frequency} = \frac{\text{Total who play winter sports}}{\text{Total surveyed}}
\]

Substituting the values:

\[
\text{Marginal Relative Frequency} = \frac{157}{287}
\]

Calculating that:

\[
\text{Marginal Relative Frequency} \approx 0.547
\]

To express this as a percentage, we multiply by 100:

\[
0.547 \times 100 \approx 54.7\%
\]

Rounding to the nearest whole percentage gives us:

\[
\text{Marginal Relative Frequency} \approx 55\%
\]

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