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Question

Relative Frequencies Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items

Question
Use the table to answer the question.

Based on respondents' locations in the North or South of the state, the table shows survey results regarding their preferred fruit (grapes or cherries).
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)
%

Answer 1

To find the percentage chance that a person who prefers cherries is from the North, we need to follow these steps:

1. Determine the total number of cherry preferences:

   • North: 120
   • South: 25
   • Total for cherries = 120 (North) + 25 (South) = 145

2. Determine the number of cherry preferences from the North:

   • North: 120

3. Calculate the percentage that the cherry preferring individual is from the North: \[ \text{Percentage} = \left( \frac{\text{Number of cherries from North}}{\text{Total cherries}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{120}{145} \right) \times 100 \approx 82.7586 \]

4. Round to the nearest tenth:

   • 82.7586 rounded to the nearest tenth is 82.8.

So, if a person prefers cherries, the percentage chance that they are from the North is 82.8%.