Question

a local high school has 1,174 students with 313 freshmen, 397 sophomores, 250 juniors, and 214 seniors. what is the relative frequency of students who are not seniors at this high school?

the relative frequency is \\(\square\\)%
(type an integer or decimal rounded to the nearest tenth as needed)

Explanation:

Step1: Find total non - senior students

First, we need to find the number of students who are not seniors. The total number of students is 1174, and the number of seniors is 214. So we add the number of freshmen, sophomores, and juniors. That is \(313 + 397+250\).
\(313+397 = 710\), and \(710 + 250=960\). Or we can also calculate it as total students minus seniors: \(1174 - 214=960\).

Step2: Calculate relative frequency

Relative frequency is the number of non - senior students divided by the total number of students, then multiplied by 100 to get the percentage.
The formula for relative frequency (\(RF\)) is \(RF=\frac{\text{Number of non - senior students}}{\text{Total number of students}}\times100\).
Substituting the values, we have \(\frac{960}{1174}\times100\).
First, calculate \(\frac{960}{1174}\approx0.8177\).
Then multiply by 100: \(0.8177\times100 = 81.77\approx81.8\) (rounded to the nearest tenth).

Answer:

\(81.8\)