Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
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 farmers with sandy soil prefer to grow carrots? Round your answer to the nearest tenth
70.6%
54.5%
120.0%
41.7%
In order to find the percentage chance that farmers with sandy soil prefer to grow carrots, we need to calculate the relative frequency of farmers with sandy soil who prefer to grow carrots.
Relative frequency = Frequency of farmers with sandy soil who prefer to grow carrots / Total number of farmers with sandy soil
Frequency of farmers with sandy soil who prefer to grow carrots = 120
Total number of farmers with sandy soil = 120 + 50 + 170 = 340
Relative frequency = 120 / 340 = 0.3529
Percentage chance = 0.3529 * 100 = 35.3%
Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 35.3%, rounded to the nearest tenth.