Question

the two - way table represents data from a survey asking teachers whether they teach english, math, or both. subjects taught

	english	not english	total
not math	40	8	48
total	74	30	104

which is the joint relative frequency for teachers who teach math and not english? round the answer to the nearest percent.
○ 8%
○ 21%
○ 33%

Explanation:

Step1: Recall joint relative frequency formula

Joint relative frequency is calculated as $\frac{\text{Frequency of the category}}{\text{Total number of observations}}$.

Step2: Identify values

The frequency of teachers who teach math and not English is 22. The total number of teachers (observations) is 104.

Step3: Calculate the ratio

Compute $\frac{22}{104}$.

Step4: Convert to percentage

Multiply the result by 100: $\frac{22}{104} \times 100 \approx 21.15\%$, which rounds to 21%.

Answer:

21% (corresponding to the option: 21%)