The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.

\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{4}{|c|}{Preferences for Types of Melon} \\
\hline
& Watermelon & Not Watermelon & Total \\
\hline
Cantaloupe & 93 & 16 & 109 \\
\hline
Not Cantaloupe & 66 & 25 & 91 \\
\hline
Total & 159 & 41 & 200 \\
\hline
\end{tabular}

Which is the marginal relative frequency for the people who do not like cantaloupe?

A. 25



Answer :

To find the marginal relative frequency for the people who do not like cantaloupe, consider the following steps:

1. Identify the Total Number of People Surveyed:
The total number of people surveyed is provided in the table, which is 200.

2. Identify the Number of People Who Do Not Like Cantaloupe:
From the table, we see that the number of people who do not like cantaloupe is 25.

3. Calculate the Marginal Relative Frequency:
The marginal relative frequency is the ratio of the number of people who do not like cantaloupe to the total number of people surveyed.

The marginal relative frequency [tex]\( R \)[/tex] can be calculated using the formula:

[tex]\[ R = \frac{\text{Number of people who do not like cantaloupe}}{\text{Total number of people surveyed}} \][/tex]

Substitute the values into the formula:

[tex]\[ R = \frac{25}{200} \][/tex]

To convert this fraction into a decimal:

[tex]\[ R = 0.125 \][/tex]

So, the marginal relative frequency for the people who do not like cantaloupe is [tex]\( 0.125 \)[/tex] or [tex]\( 12.5\% \)[/tex].