Question

the two - way frequency table contains data about students preferred exercise.

	enjoys swimming	enjoys cycling	row totals
does not like running	46	64	110
column totals	74	126	200

what is the joint relative frequency of students who like running and swimming?
45%
37%
28%
14%

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%