Question

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 } \\)

Explanation:

Step1: Recall the formula for marginal relative frequency

Marginal relative frequency is calculated as $\frac{\text{Row/Column Total}}{\text{Grand Total}}$.

Step2: Identify the row total for "Not Bar"

From the table, the row total for "Not Bar" (people who do not like bar soap) is $100$.

Step3: Identify the grand total

The grand total is $400$.

Step4: Calculate the marginal relative frequency

Using the formula, the marginal relative frequency is $\frac{100}{400}$.

Answer:

$\frac{100}{400}$