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, which is 40.
The total number of people who prefer island vacations is 12+53+40= 105.
Therefore, the relative frequency is 40/105 = 0.381.
Converting this to a percentage, we get 38.1%.
So, the relative frequency that people who prefer island vacations also prefer swimming is 38.1%.
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 aged 12-15 who had over 500 text messages, we need to look at the number of people in that age group who had over 500 messages, which is 78.
The total number of people in the 12-15 age group is 24 + 47 + 78 = 149.
Therefore, the relative frequency is 78/149 = 0.523.
Converting this to a percentage, we get 52.3%.
So, the relative frequency of people aged 12-15 who had over 500 text messages is 52.3%.
Use the table to answer the question.
Cherries Grapes
North 120 125
South 25 75
Examine the data from a survey about the part of the state people are from and the fruit they prefer. Using relative frequencies, is the following statement true or false?
People from the North tend to like cherries more than grapes.
Enter 1 for true. Enter 2 for false.
To determine if the statement is true or false, we need to compare the relative frequencies of people from the North who prefer cherries to the relative frequencies of those who prefer grapes.
The total number of people from the North is 120 + 125 = 245.
The relative frequency of people from the North who prefer cherries is 120/245 = 0.489.
The relative frequency of people from the North who prefer grapes is 125/245 = 0.510.
Comparing the relative frequencies, we see that people from the North tend to like grapes slightly more than cherries. Therefore, the statement "People from the North tend to like cherries more than grapes" is false.
So, the answer is 2 for false.
Use the table to answer the question.
Cherries Grapes
North 120 125
South 25 75
Examine the data from a survey about the part of the state people are from and the fruit they prefer. If a person prefers cherries, what is the percentage chance that they are from the North? Round your answer to the nearest tenth.
To find the percentage chance that a person who prefers cherries is from the North, we need to look at the number of people from the North who prefer cherries, which is 120.
The total number of people who prefer cherries is 120 + 25 = 145.
Therefore, the percentage chance is 120/145 = 0.8276.
Converting this to a percentage and rounding to the nearest tenth, we get 82.8%.
So, the percentage chance that a person who prefers cherries is from the North is 82.8%.