Relative Frequencies Quick Check

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Question
Use 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

26.7%
26.7%

36.4%
36.4%

55%
55%

40%

1 answer

To determine the relative frequency of seventh-graders who prefer mountains, you can use the following formula:

\[ \text{Relative Frequency} = \frac{\text{Number of 7th Graders who prefer Mountains}}{\text{Total Number of 7th Graders}} \]

From the table, we can see:

  • Number of 7th graders who prefer mountains: 40
  • Total number of 7th graders: 110

Now plug in the numbers:

\[ \text{Relative Frequency} = \frac{40}{110} \approx 0.3636 \]

To find the percentage, multiply by 100:

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

Rounding to the nearest tenth, we get:

\[ \text{Relative Frequency} \approx 36.4% \]

Therefore, the answer is:

36.4%