Answer :
To find the marginal relative frequency for the people who do not like cantaloupe, we need to follow these steps:
1. Identify the total number of people surveyed: This is the sum of all respondents. From the table provided, we know that the total number of respondents is 200.
2. Identify the number of people who do not like cantaloupe: This is the number associated with "Not Cantaloupe" in the Total column. From the table, we see that 91 people do not like cantaloupe.
3. Calculate the marginal relative frequency: This is done by dividing the number of people who do not like cantaloupe by the total number of respondents. Thus, the calculation is:
[tex]\[ \text{Marginal relative frequency} = \frac{\text{Number of people who do not like cantaloupe}}{\text{Total number of people}} = \frac{91}{200} \][/tex]
4. Simplify if possible: Division of 91 by 200 gives us a decimal value. Since the options presented are in fraction form, the simplified fraction [tex]\(\frac{91}{200}\)[/tex] does not need further simplification.
Thus, the marginal relative frequency for the people who do not like cantaloupe is:
[tex]\[ \frac{91}{200} \][/tex]
So, the correct option is:
[tex]\(\frac{91}{200}\)[/tex]
1. Identify the total number of people surveyed: This is the sum of all respondents. From the table provided, we know that the total number of respondents is 200.
2. Identify the number of people who do not like cantaloupe: This is the number associated with "Not Cantaloupe" in the Total column. From the table, we see that 91 people do not like cantaloupe.
3. Calculate the marginal relative frequency: This is done by dividing the number of people who do not like cantaloupe by the total number of respondents. Thus, the calculation is:
[tex]\[ \text{Marginal relative frequency} = \frac{\text{Number of people who do not like cantaloupe}}{\text{Total number of people}} = \frac{91}{200} \][/tex]
4. Simplify if possible: Division of 91 by 200 gives us a decimal value. Since the options presented are in fraction form, the simplified fraction [tex]\(\frac{91}{200}\)[/tex] does not need further simplification.
Thus, the marginal relative frequency for the people who do not like cantaloupe is:
[tex]\[ \frac{91}{200} \][/tex]
So, the correct option is:
[tex]\(\frac{91}{200}\)[/tex]