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223 students were asked if their favorite summer vacation destination was in North Carolina, Georgia, or South Carolina. Of these students, 121 were girls, 75 of these students chose South Carolina, and 55 chose Georgia. Of the boys, 59 chose North Carolina while 25 of the boys chose Georgia. Determine the relative frequency of a girl who chose to go to North Carolina. Determine the relative frequency of a boy who choose South Carolina

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MrRoyalid

The relative frequencies of the students are the frequencies represented as decimals or percentages

  • The relative frequency of a girl who chose to go to North Carolina is 0.15
  • The relative frequency of a boy who choose South Carolina is 0.08

How to analyze the frequencies?

From the question, we have the following parameters:

  • Students = 223
  • Girls = 121
  • Boys = 102
  • South Carolina = 75
  • Georgia = 55
  • Boys North Carolina = 59
  • Boys Georgia = 25

Using the above dataset, we have the following two-column table

          North     South    Georgia    Total

Boys      59                      25             102

Girls                                                    121

Total                       75         55           223

Next, we fill the rows and columns as follows by performing several arithmetic computations.

So, we have:

          North     South    Georgia    Total

Boys      59           18         25             102

Girls       34            57        30            121

Total      93             75         55           223

How to determine relative frequencies?

The relative frequency of a girl who chose to go to North Carolina

From the table in (a), the frequency of a girl who chose to go to North Carolina is 34 and the total frequency is 223.

So, the relative frequency is:

[tex]RF = \frac{34}{223}[/tex]

[tex]RF \approx 0.15[/tex]

The relative frequency of a boy who choose South Carolina

From the table in (a), the frequency of a boy who choose to go to South Carolina is 18 and the total frequency is 223.

So, the relative frequency is:

[tex]RF = \frac{18}{223}[/tex]

[tex]RF \approx 0.08[/tex]

Hence, the relative frequencies are 0.152 and 0.08, respectively

Read more about relative frequencies at:

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