the two - way frequency table contains data about students preferred exercise.\n| | enjoys swimming | enjoys…

the two - way frequency table contains data about students preferred exercise.\n| | enjoys swimming | enjoys cycling | row totals |\n|--|--|--|--|\n| likes running | 28 | 62 | 90 |\n| does not like running | 46 | 64 | 110 |\n| column totals | 74 | 126 | 200 |\nwhat is the joint relative frequency of students who like running and swimming?\n45%\n37%\n28%\n14%

the two - way frequency table contains data about students preferred exercise.\n| | enjoys swimming | enjoys cycling | row totals |\n|--|--|--|--|\n| likes running | 28 | 62 | 90 |\n| does not like running | 46 | 64 | 110 |\n| column totals | 74 | 126 | 200 |\nwhat is the joint relative frequency of students who like running and swimming?\n45%\n37%\n28%\n14%

Answer

Explanation:

Step1: Recall joint - relative frequency formula

Joint relative frequency = $\frac{\text{Frequency of the joint category}}{\text{Total number of data points}}$

Step2: Identify values from the table

The number of students who like running and swimming is 28, and the total number of students is 200.

Step3: Calculate the joint relative frequency

$\frac{28}{200}=0.14$

Step4: Convert to percentage

$0.14\times100 = 14%$

Answer:

14%