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.
plays winter sports: colorado: 103 nebraska: 54
does not play winter sports: colorado: 35 nebraska: 95


(1 point)
Responses

75%
75%

55%
55%

45%
45%

Answer 1

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

From the two-way table:

- People who play winter sports:
- Colorado: 103
- Nebraska: 54

Total who play winter sports = 103 + 54 = 157

- People who do not play winter sports:
- Colorado: 35
- Nebraska: 95

Total who do not play winter sports = 35 + 95 = 130

Now, we find the total number of people surveyed:

Total surveyed = Total who play winter sports + Total who do not play winter sports = 157 + 130 = 287

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

Marginal relative frequency = (Total who play winter sports / Total surveyed) * 100
= (157 / 287) * 100 ≈ 54.74%

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

Thus, the answer is:

**55%**