Question

Markus asks some people in his town about their dietary habits and records the results as shown in the table given below:

Dietary Habits	Frequency
Vegetarian	$56$
Non-vegetarian	$44$

Find the relative frequency of a person in town being non-vegetarian.

• A. $\frac{56}{100}$
  
• B. $\frac{56}{44}$
  
• C. $\frac{44}{56}$
  
• D. $\frac{44}{100}$
  

Answer 1

The correct option is D $\frac{44}{100}$


To evaluate the relative frequency, two things must be known:
$\bullet$ Number of total events/trials
$\bullet$ Frequency count for a category/subgroup

Relative frequency can be calculated as:
$\text{Relative Frequency}=\frac{\text{Subgroup frequency}}{\text{Total frequency}}$


In the given question,
Total number of people $=$ Number of vegetarian people $+$ Number of non-vegetarian people

$\text{Total number of people}=56+44$
$\text{Total number of people}=100$

$\text{Number of non-vegetarian people}=44$

Relative frequency of a person in town being non-vegetarian
$=\frac{44}{100}$

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