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 the people who prefer hiking also prefer mountains? Round the percentage to the nearest tenth.
To find the relative frequency that the people who prefer hiking also prefer mountains, we need to look at the number of people who prefer hiking and mountains. From the table, we can see that 45 people prefer hiking and mountains.
To calculate the relative frequency, we will use the formula:
Relative Frequency = (Number of people who prefer hiking and mountains) / (Total number of people who prefer hiking)
Relative Frequency = 45 / 45 = 1
Therefore, the relative frequency that the people who prefer hiking also prefer mountains is 1, or 100%.
That's not right
My apologies for the error in my calculation. Let's correct this:
The total number of people who prefer hiking is 45 + 20 + 12 = 77.
The number of people who prefer hiking and mountains is 45.
Relative Frequency = (Number of people who prefer hiking and mountains) / (Total number of people who prefer hiking)
Relative Frequency = 45 / 77
Relative Frequency ≈ 0.5844
Rounded to the nearest tenth, the relative frequency that the people who prefer hiking also prefer mountains is approximately 58.4%.
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.
To find the relative frequency that people who prefer island vacations also prefer swimming, we need to look at the number of people who prefer island vacations and swimming. From the table, we can see that 40 people prefer island vacations and swimming.
To calculate the relative frequency, we will use the formula:
Relative Frequency = (Number of people who prefer island vacations and swimming) / (Total number of people who prefer island vacations)
Relative Frequency = 40 / 52 = 0.7692
Rounded to the nearest tenth, the relative frequency that people who prefer island vacations also prefer swimming is approximately 76.9%.
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.
To find the relative frequency of people age 12-15 who had over 500 text messages, we need to look at the number of people in that age group who fall in the "Over 500" category. From the table, we can see that there are 78 people in the 12-15 age group who had over 500 text messages.
To calculate the relative frequency, we will use the formula:
Relative Frequency = (Number of people age 12-15 with over 500 messages) / (Total number of people age 12-15)
Total number of people age 12-15 = 24 + 47 + 78 = 149
Relative Frequency = 78 / 149 ≈ 0.5235
Rounded to the nearest tenth, the relative frequency of people age 12-15 who had over 500 text messages is approximately 52.4%.
That's wrong
I apologize for the error in my previous response. Let's correct this calculation:
The total number of people in the age group 12-15 is 24 + 47 + 78 = 149.
The number of people in the age group 12-15 who had over 500 text messages is 78.
Relative Frequency = (Number of people age 12-15 with over 500 messages) / (Total number of people age 12-15)
Relative Frequency = 78 / 149 = 0.5235
Rounded to the nearest tenth, the relative frequency of people age 12-15 who had over 500 text messages is approximately 52.4%.