Question

the two - way frequency table shows the number of students from each grade who plan to attend this years homecoming football game.
understanding frequency tables
thousandth.
from the table, you can see that 24 sophomores are not attending the
ming game, and a total of 58 students are not attending the
use the relative frequency table to calculate each probability. use the
frequency table in the example to verify that your answer is correct

Explanation:

Step1: Calculate the relative frequency for Sophomores attending

The formula for relative frequency is \( \text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total}} \).
For Sophomores attending, the frequency is \( 28 \) and the total number of students is \( 174 \).
So, \( \frac{28}{174}\approx0.161 \)

Step2: Calculate the relative frequency for Juniors attending

The frequency of Juniors attending is \( 25 \) and the total number of students is \( 174 \).
Using the formula \( \frac{25}{174}\approx0.144 \)

Step3: Calculate the relative frequency for Seniors not - attending

The frequency of Seniors not - attending is \( 6 \) and the total number of students is \( 174 \).
So, \( \frac{6}{174}\approx0.034 \)

Step4: Calculate the total relative frequency for Freshmen

The total relative frequency for Freshmen is the sum of Freshmen attending and not - attending relative frequencies. \( 0.178 + 0.098=0.276 \)

Step5: Calculate the total relative frequency for non - attending (sum of all non - attending relative frequencies)

The sum of non - attending relative frequencies: \( 0.098+0.138 + 0.063+0.034=0.333 \)

Answer:

The value for Sophomores attending is approximately \( 0.161 \), for Juniors attending is approximately \( 0.144 \), for Seniors not - attending is approximately \( 0.034 \), the total for Freshmen is \( 0.276 \), and the total for non - attending (sum) is \( 0.333 \)