Examine the data from a survey of farmers about their different soil types in the crops they prefer to grow. Using relative frequencies, what is the percentage chance that farmers with Sandy soil preferred to grow carrots? Round your answer to the nearest tenth
To calculate the percentage chance that farmers with Sandy soil preferred to grow carrots using relative frequencies, we need to look at the number of farmers with Sandy soil who preferred to grow carrots compared to the total number of farmers surveyed.
Let's say the survey results are as follows:
- Number of farmers with Sandy soil who preferred to grow carrots: 20
- Total number of farmers with Sandy soil: 50
- Total number of farmers surveyed: 200
First, we calculate the relative frequency of farmers with Sandy soil who preferred to grow carrots:
Relative frequency = Number of farmers with Sandy soil who preferred to grow carrots / Total number of farmers with Sandy soil
Relative frequency = 20 / 50 = 0.4
Next, we calculate the percentage chance:
Percentage chance = Relative frequency * 100
Percentage chance = 0.4 * 100 = 40%
Therefore, the percentage chance that farmers with Sandy soil preferred to grow carrots is 40%.