Question

a survey was conducted at a high school to study pet ownership in different grade levels. the data gathered is in the two - way table below.

	dog	cat	no pet	total
sophomore	5	7	4	16
junior	8	1	3	12
senior	2	3	6	11
total	18	14	18	50

based on this table, what is the relative frequency that a student is a sophomore who has no pets?
? %
round your answer to the nearest hundredth.

Explanation:

Step1: Identify relevant values

The number of sophomores with no pets is 4, and the total number of students is 50.

Step2: Calculate relative - frequency

The formula for relative frequency is $\text{Relative Frequency}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $\text{Relative Frequency}=\frac{4}{50}= 0.08$.

Step3: Convert to percentage

To convert the decimal to a percentage, multiply by 100. $0.08\times100 = 8.00\%$

Answer:

8.00%