Examine the data from a survey of farmers about their different soil types, and the crops who preferred to grow using relative frequencies. What is the percentage chance that farmers with Sandy soil preferred to grow carrots?
To calculate the percentage chance that farmers with Sandy soil preferred to grow carrots, we first need to find the relative frequency of Sandy soil farmers who prefer to grow carrots.
Let's say the survey data shows that out of 100 farmers with Sandy soil:
- 40 farmers preferred to grow carrots
- 25 farmers preferred to grow corn
- 20 farmers preferred to grow wheat
- 15 farmers preferred to grow soybeans
To find the relative frequency of Sandy soil farmers who preferred to grow carrots, we divide the number of Sandy soil farmers who prefer to grow carrots by the total number of Sandy soil farmers and then multiply by 100 to get the percentage:
Relative frequency = (Number of Sandy soil farmers who prefer to grow carrots / Total number of Sandy soil farmers) * 100
Relative frequency = (40 / 100) * 100
Relative frequency = 0.4 * 100
Relative frequency = 40%
Therefore, there is a 40% chance that farmers with Sandy soil prefer to grow carrots.