Relative Frequencies Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Use the table to answer the question.
Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40
Given the data in the table, what is the relative frequency that people who prefer island vacations also prefer swimming? Round the percentage to the nearest tenth.
(1 point)
%
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I apologize for the error. Let me correct that calculation.
The number of people who prefer both island vacations and swimming is 40.
The total number of people who prefer island vacations is 12 + 53 + 40 = 105.
To find the relative frequency, you divide the number of people who prefer both island vacations and swimming by the total number of people who prefer island vacations:
40/105 = 0.381 (rounded to three decimal places).
Converting this to a percentage gives: 0.381 * 100 = 38.1%
Therefore, the correct relative frequency is 38.1%. Thank you for your patience.
Use the table to answer the question.
Number of Text Messages
0–200 201–500 Over 500
Age 12–15 24 47 78
16–19 20 35 97
20–23 55 67 177
Given the data in the table about the number of text messages per day, what is the relative frequency of the people age 12–15 who had over 500 messages? Round the percentage to the nearest tenth.
(1 point)
%
To calculate the relative frequency of people age 12-15 who had over 500 text messages, you need to divide the number of people in that category by the total number of people within the age group.
From the table:
The number of people age 12-15 who had over 500 text messages is 78.
The total number of people age 12-15 is 24 + 47 + 78 = 149.
Now, calculate the relative frequency:
78/149 = 0.523 (rounded to three decimal places).
Converting this to a percentage gives: 0.523 * 100 = 52.3%
Therefore, the relative frequency of people age 12-15 who had over 500 text messages is 52.3%.
To calculate the relative frequency of people who prefer island vacations also prefer swimming, you need to divide the number of people who prefer both island vacations and swimming by the total number of people who prefer island vacations.
In this case, the number of people who prefer both island vacations and swimming is 40.
The total number of people who prefer island vacations is 12 + 53 + 40 = 105.
Therefore, the relative frequency is:
40/105 * 100 = 38.1%
So, the relative frequency is 38.1%.