Question

The below table shows the number of students, speaking different languages, in a class of 30 students:

$\text{Languages}$	$\text{Number of students}$
French	$7$
German	$5$
English	$12$
Spanish	$6$

According to the table, what is the relative frequency of students speaking French?

• A. $\frac{23}{30}$
• B. $\frac{7}{30}$
• C. $\frac{7}{23}$
• D. $\frac{16}{23}$

Answer 1

The correct option is B $\frac{7}{30}$

The given data:

$\text{Languages}$	$\text{Number of students}$
French	$7$
German	$5$
English	$12$
Spanish	$6$

As per the given table,
Total number of students= $30$
$\Rightarrow$ Total number of trials= $30$

$\text{Need to find:}$ Relative frequency of students, speaking French.

Event ($\text{E}$): A student is chosen and what is the likelihood that he can speak in French.

$\therefore$ Frequency of event = Number of students speaking in French = $7$

Now,

$\text{Relative frequency of students speaking French}=\frac{\text{Frequency of students speaking French}}{\text{Total number of students}}$

$[\text{Relative frequency}=\frac{\text{Frequency of an event}}{\text{Total number of trials}}]$

$\text{Relative frequency of sutents speaking French}=\frac{7}{30}$

Hence, option (b.) is the correct one.