Question

finding relative frequency
student absences
use the table to complete the statements.
the relative frequency of 7th graders who are present is
the relative frequency of all students who are absent is

	present	absent	total
8th grade	39	1	40
9th grade	26	6	32
total	109	11	120

(options for the second relative frequency: 3%, 9%, 11%, 19%)

Explanation:

First Statement: Relative Frequency of 7th Graders Who Are Present

Step 1: Recall the formula for relative frequency

The relative frequency is calculated as the number of a specific category divided by the total number in the group (for the first part, the group is 7th graders). The formula is:
$\text{Relative Frequency} = \frac{\text{Number of Present 7th Graders}}{\text{Total Number of 7th Graders}}$

Step 2: Identify the values from the table

From the table, the number of present 7th graders is 44, and the total number of 7th graders is 48.

Step 3: Calculate the relative frequency

Substitute the values into the formula:
$\text{Relative Frequency} = \frac{44}{48} = \frac{11}{12} \approx 0.9167$ (or $91.67\%$)

Second Statement: Relative Frequency of All Students Who Are Absent

Step 1: Recall the formula for relative frequency

For this part, the group is all students. The formula is:
$\text{Relative Frequency} = \frac{\text{Total Number of Absent Students}}{\text{Total Number of All Students}}$

Step 2: Identify the values from the table

From the table, the total number of absent students is 11, and the total number of all students is 120.

Step 3: Calculate the relative frequency

Substitute the values into the formula:
$\text{Relative Frequency} = \frac{11}{120} \approx 0.0917$ (or $9.17\%$, which is approximately $9\%$ from the given options)

Answer:

s:

• The relative frequency of 7th graders who are present is $\boldsymbol{\frac{11}{12} \approx 0.9167}$ (or $91.67\%$).
• The relative frequency of all students who are absent is $\boldsymbol{9\%}$ (from the given options, as $\frac{11}{120} \approx 9.17\% \approx 9\%$).