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se the table to answer the question. Determining the proportion of seventh-graders who favor mountains. Students Seacoast Mountains Totals 7th Grade 70 40 110 8th Grade 90 110 200 Totals 160 150 310 Determine the relative frequency of the percent of 7th graders who prefer mountains. Round the percentage to the nearest tenth. (1 point) Responses 55% 55% 36.4% 36.4% 26.7% 26.7% 40%

1 answer

To determine the relative frequency of the percentage of 7th graders who prefer mountains, we can follow these steps:

  1. Identify the number of 7th graders who favor mountains: 40
  2. Identify the total number of 7th graders: 110

Now, calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who prefer mountains}}{\text{Total number of 7th graders}} = \frac{40}{110} \]

Next, divide 40 by 110:

\[ \frac{40}{110} \approx 0.3636 \]

To express this as a percentage, multiply by 100:

\[ 0.3636 \times 100 \approx 36.36 \]

Rounding to the nearest tenth gives us:

36.4%

So, the correct answer is 36.4%.