Relative Frequencies Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
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.
(1 point)
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.
(1 point)
%
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To determine the percentage chance that a person who prefers cherries is from the North, we calculate the relative frequency of North preferences for cherries:
Relative Frequency (North preference for cherries) = (Number of people from the North who prefer cherries) / (Total number of people who prefer cherries)
Relative Frequency (North preference for cherries) = 120 / (120 + 25) = 120 / 145 ≈ 0.8276
To convert this relative frequency to a percentage, multiply by 100:
Percentage chance = 0.8276 * 100 ≈ 82.8%
Therefore, the percentage chance that a person who prefers cherries is from the North is approximately 82.8%.