Students

Seacoast Mountains
Totals
7th Grade 70

40
110
8th Grade 90

110
200
Totals
160
150
310
Determining the proportion of seventh-graders who favor mountains.
Determine the relative frequency of the percent of 7th graders who prefer mountains. Round the percentage to the nearest tenth.
(1 point)
26.7%
55%
36.4%
40%

1 answer

To determine the proportion of seventh-graders who favor mountains, we first need the number of seventh-graders who prefer mountains and the total number of seventh-graders.

From the table provided:

  • Total 7th Grade: 110
  • 7th Grade who prefer Seacoast: 70
  • 7th Grade who prefer Mountains: \( 110 - 70 = 40 \)

Now that we know there are 40 seventh-graders who prefer mountains, we can calculate the relative frequency (or proportion) of seventh-graders who prefer mountains:

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

Now we can calculate this fraction:

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

To express this as a percentage, multiply by 100:

\[ 0.3636 \times 100 \approx 36.36% \]

Rounding to the nearest tenth, we get:

\[ 36.4% \]

So, the answer is:

36.4%