Use the table to answer the question.

Plays winter sports

Does not play winter sports Totals

Colorado

103

Nebraska 54

Total

157

35

95

130

138

149

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)

34%

55%

66%

95%

1 answer

To find the marginal relative frequency of people who play winter sports, we first need to determine the total number of people represented in the table.

From the information given, the total number of people who play winter sports is 157 (from the row for "Plays winter sports") and the total number of people who do not play winter sports is 130 (from the row for "Does not play winter sports").

Now, we'll calculate the overall total:

\[ \text{Total} = \text{Total who play winter sports} + \text{Total who do not play winter sports} = 157 + 130 = 287 \]

Next, we find the marginal relative frequency of people who play winter sports:

\[ \text{Marginal relative frequency} = \frac{\text{Total who play winter sports}}{\text{Overall total}} = \frac{157}{287} \]

Now, we can perform the division:

\[ \frac{157}{287} \approx 0.547 (rounded to three decimal places) \]

To convert this to a percentage, we multiply by 100:

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

Rounding this to the nearest whole percentage, we get 55%.

Thus, the marginal relative frequency of people who play winter sports is:

55%

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