Question

core algebra i b-cr
liquid not liquid total
bar 200 100 300
not bar 80 20 100
total 280 120 400
which is the marginal relative frequency for the people who do not like bar soap?
○ $\frac{100}{400}$
○ $\frac{120}{400}$
○ $\frac{280}{400}$
○ $\frac{300}{400}$
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Explanation:

Step1: Identify target group total

The total number of people who do not like bar soap (Not Bar) is 100, from the table's "Not Bar" row total.

Step2: Identify overall total

The total number of all surveyed people is 400, from the bottom-right table cell.

Step3: Calculate marginal relative frequency

Marginal relative frequency = $\frac{\text{Total of target group}}{\text{Overall total}}$ = $\frac{100}{400}$

Answer:

$\frac{100}{400}$