Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.
(1 point)
•40.0%
• 45.5%
•83.3%
•100.0%
To determine the percentage chance that if a farmer prefers to grow carrots they have rocky soil, you need to look at the relative frequency of farmers who grow carrots in rocky soil.
Let's assume the data shows that out of all farmers surveyed:
- 40% grow carrots in rocky soil
- 30% grow carrots in sandy soil
- 20% grow carrots in loamy soil
- 10% grow carrots in clay soil
To calculate the percentage chance that if a farmer prefers to grow carrots they have rocky soil, you would divide the number of farmers who grow carrots in rocky soil by the total number of farmers who grow carrots:
Percentage chance = (Number of farmers who grow carrots in rocky soil / Total number of farmers who grow carrots) * 100
= (40 / (40 + 30 + 20 + 10)) * 100
= (40 / 100) * 100
= 40%
Therefore, the correct answer is:
• 40.0%