Question

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

	football	baseball	soccer	total
sophomore	3	2	1	6
junior	4	0	5	9
senior	1	2	4	7
total	10	10	10	30

based on this table, what is the relative frequency that a student is a senior who plays baseball?
? %
round your answer to the nearest hundredth

Explanation:

Step1: Identify relevant values

The number of seniors who play baseball is 2, and the total number of students is 30.

Step2: Calculate relative - frequency

The formula for relative frequency is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the relative frequency is $\frac{2}{30}$.

Step3: Convert to percentage

$\frac{2}{30}\times100=\frac{200}{30}\approx 6.67$.

Answer:

$6.67$