Question

a group of students were surveyed about what they want to be when they grow up. the table provided shows the choices that the students made. use the information in the table to answer the following questions. round all answers to the nearest whole number.

	teacher	doctor	athlete
girls	45	31	26

the marginal relative frequency of boys and girls who want to be a teacher is
the joint relative frequency of girls who want to be an athlete is
the conditional relative frequency of students that selected doctor, given that those students are boys is

Explanation:

Step1: Calculate total number of students

$24 + 28+56 + 45+31 + 26=210$

Step2: Calculate marginal relative frequency of those who want to be teachers

The number of students who want to be teachers is $24 + 45=69$. The marginal relative frequency is $\frac{69}{210}\times100\%\approx 33\%$

Step3: Calculate joint relative frequency of girls who want to be athletes

The number of girls who want to be athletes is 26. The joint relative frequency is $\frac{26}{210}\times 100\%\approx 12\%$

Step4: Calculate conditional relative frequency of students who selected doctor given they are boys

The number of boys who selected doctor is 28, and the number of boys is $24 + 28+56 = 108$. The conditional relative frequency is $\frac{28}{108}\times 100\%\approx 26\%$

Answer:

33
12
26