Question

The formula of relative frequency is

• A. $\frac{\text{Total frequency}}{\text{Subgroup frequency}}$
  
• B. $\frac{\text{Total frequency}}{\text{Total frequency}}$
  
• C. $\frac{\text{Subgroup frequency}}{\text{Subgroup frequency}}$
  
• D. $\frac{\text{Subgroup frequency}}{\text{Total frequency}}$
  

Answer 1

The correct option is D $\frac{\text{Subgroup frequency}}{\text{Total frequency}}$


To evaluate the relative frequency, two things must be known:

$\bullet$ Number of total events/trials
$\bullet$ Frequency count for a category/subgroup

If the total frequency and subgroup frequency are known, then the relative frequency can be given as:

$\text{Relative Frequency}=\frac{\text{Subgroup frequency}}{\text{Total frequency}}$

For example, if a coin is tossed $25$ times and head is obtained $15$ times, then the relative frequency of obtaining head is

$\text{Relative Frequency}=\frac{15}{25}$

$\text{Relative Frequency}=\frac{3}{5}$

Therefore, option (d.) is the correct answer.