Relative frequency is frequency relative to some quantity, usually the marginal or total frequency. The needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
<h3>How to find the relative frequency?</h3>
Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The two way table given is:
Alaska Not Alaska Total
Hawaiii 6 15 21
Not Hawaii 8 21 29
Total 14 36 50
Calculating the needed relative frequencies one by one:
Case 1: The relative frequency for students who have been to Alaska
- Total students who went to Alaska= 14
- Total number of students in survey = 50
Thus, the relative frequency for students who have been to Alaska (relative to total count) is 14/50
Case 2: The relative frequency for students who have been to Hawaii but not Alaska
- Total students who went to Hawaii but not Alaska= 15
- Total number of students in survey = 50
Thus, the relative frequency for students who have been to Alaska (relative to total count) is 15/50
Case 3: The relative frequency for students who have not been to Alaska or Hawaii
- Total students who haven't been to Alaska or Hawaii = total students's count - those who have been to both Hawaii and Alaska = 50 - 6 = 44
- Total number of students in survey = 50
Thus, the relative frequency for students who have been to Alaska (relative to total count) is 44/50
Thus, the needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
Learn more about relative frequency here:
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