Question

subjects taught
english not english total
math 34 22 56
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%
38%

Explanation:

Step1: Recall joint - relative frequency formula

Joint relative frequency = $\frac{\text{Frequency of the cell}}{\text{Total frequency}}$

Step2: Identify relevant frequencies

The frequency of teachers who teach math and not English is 22, and the total frequency is 104.

Step3: Calculate joint - relative frequency

Joint relative frequency = $\frac{22}{104}\approx 0.2115$

Step4: Convert to percentage

$0.2115\times100 = 21.15\%$. Rounding to the nearest percent gives 21%.

Answer:

21%