Question

student spending survey
a high school economics teacher wants to understand the spending habits of students. the teacher surveys students about their preferred spending category (entertainment vs. education) and whether they save money regularly (yes vs. no).
the survey results are as follows:

• 200 students were surveyed in total.
• 80 students prefer spending on entertainment. of those, 50 save money regularly.
• 90 students save money regularly and prefer spending on education.
• the total number of students who do not save money regularly is 60.

the teacher plans to use this data to encourage better financial habits among students.
chart with columns: spending category, save money regularly (yes), do not save regularly (no), total; and row: entertainme (with 50, empty, 80)
what is the marginal relative frequency of students who save money regularly?
options: 0.70, 0.60, 0.45, 0.25

Explanation:

Step1: Find total students who save

From the data, 50 (entertainment, save) + 90 (education, save) = 140 students save money regularly.

Step2: Calculate marginal relative frequency

Marginal relative frequency = (Number of students who save) / (Total number of students) = $\frac{140}{200}$ = 0.70.

Answer:

0.70