Question

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. A 4-column table with 3 rows. The first column has no label with entries math, not math, total. The second column is labeled English with entries 34, 40, 74. The third column is labeled not English with entries 22, 8, 30. The fourth column is labeled total with entries 56, 48, 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%

Answer 1

Answer:

b 21%

Step-by-step explanation:

good luck and hurry :)

Answer 2

The given 22 teachers from the total of 104 teachers in the survey gives

the teachers who teach math and not English as approximately; 21%

How can the joint relative frequency be obtained?

The relative frequency table is presented as follows;

$\begin{tabular}{|c|c|c|c|}&English&Not english & Total\\Math&34&22&56\\Not math&40&8&48\\Total&74&30&104\end{array}\right]$

Required:

The joint relative frequency for teachers teaching math and not English

Solution:

The joint relative frequency is the ratio of the frequency of a given category to the total number of data points within the category.

The number of teachers that teach math but not English = 22

Total number of teachers in the survey = 104

Therefore;

$The \ joint \ relative \ frequency = \dfrac{22}{104} \times 100\approx \mathbf{21\%}$

Therefore;

• The joint relative frequency for the teachers that teach math and not English is approximately 21%

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