Question

A survey of 100 people in high school was used to find what subject was preferred. Fill in whats missing

Answer 1

Question: What's the joint frequency a 9th grader liked math?

Answer: 3%

Explanation:

Check out the attached image below. I've filled in the table with the missing values. The upper left corner is 3 because 7+3 = 10 in the first column. You'll fill in the other values in a similar fashion. Once we filled out the table, we can answer all of these questions. There are 3 ninth graders who like math out of 100 people total. So the final answer is 3/100 = 0.03 = 3%.

-----------------------------------

Question: What's the marginal relative frequency of 9th graders surveyed?

Answer: 10%

Explanation:

Again, refer to the table to find that there are 10 ninth graders out of 100 total. So 10/100 = 0.10 = 10% is the answer.

-----------------------------------

Question: Given a student was in 10th grade, what's the likelihood the student preferred English?

Answer:  46%

Explanation:

We only focus on the 10th graders because of the "given". There are 23 people in this row who like English out of 50 total sophomores. So 23/50 = 0.46 = 46% of the tenth graders liked English.

-----------------------------------

Question: Given the subject was science, what's the likelihood the student was a freshman?

Answer: 72.5%

Explanation:

Focus on the science column only. There are 29 freshmen out of 40 students total. We get the percentage of 29/40 = 0.725 = 72.5%