a survey was conducted at a high school to study school sports in different grade levels. the data gathered…

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:\n| | football | baseball | soccer | total |\n|----|----|----|----|----|\n| freshman | 2 | 6 | 0 | 8 |\n| sophomore | 3 | 2 | 1 | 6 |\n| junior | 4 | 0 | 5 | 9 |\n| senior | 1 | 2 | 4 | 7 |\n| total | 10 | 10 | 10 | 30 |\nbased on this table, what is the relative frequency that a student is a senior who plays baseball?\n? %\nround your answer to the nearest hundredth

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:\n| | football | baseball | soccer | total |\n|----|----|----|----|----|\n| freshman | 2 | 6 | 0 | 8 |\n| sophomore | 3 | 2 | 1 | 6 |\n| junior | 4 | 0 | 5 | 9 |\n| senior | 1 | 2 | 4 | 7 |\n| total | 10 | 10 | 10 | 30 |\nbased on this table, what is the relative frequency that a student is a senior who plays baseball?\n? %\nround your answer to the nearest hundredth

Answer

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:

$6.67$